From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 07:21:23 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id HAA02083 for reliable_computing-outgoing; Fri, 1 Oct 1999 07:21:22 -0500 (CDT) Received: from cs.clemson.edu (citron.cs.clemson.edu [130.127.48.6]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id HAA02078 for ; Fri, 1 Oct 1999 07:21:19 -0500 (CDT) Received: from merlin.cs.clemson.edu (merlin [130.127.48.80]) by cs.clemson.edu (8.9.3/8.9.3) with ESMTP id IAA08059; Fri, 1 Oct 1999 08:21:17 -0400 (EDT) Received: (from steve@localhost) by merlin.cs.clemson.edu (8.9.3/8.9.3) id IAA15931; Fri, 1 Oct 1999 08:21:17 -0400 (EDT) From: Steve Stevenson MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Date: Fri, 1 Oct 1999 08:21:16 -0400 (EDT) To: "R. Baker Kearfott" Cc: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu Subject: Re: Accreditation of Codes In-Reply-To: <2.2.32.19990929144800.006d9fd0 [at] pop [dot] usl.edu> References: <2.2.32.19990929144800.006d9fd0 [at] pop [dot] usl.edu> X-Mailer: VM 6.43 under 20.4 "Emerald" XEmacs Lucid Message-ID: <14324.42686.167617.500299 [at] merlin [dot] cs.clemson.edu> Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk R. Baker Kearfott writes: > >I don't think you missed my point about the computation. My question > >is, "How do I interpret your answer?" You give me an interval, but > >what is the most probable value of the root? Certainly you don't > >intend that --- information- theoretically speaking --- every point in > >that interval has an equiprobable chance of being the root. > > > > That's true, interval arithmetic does not distinguish between > different points in the interval in the sense of a non-uniform > statistical distribution. (That is, an arithmetic interval corresponds > to a uniform distribution.) However, in validating (i.e. in producing > rigorous error bounds) on a root that is already known approximately, > tight intervals, on the order of the roundoff error achievable with > point arithmetic, are often obtainable. Is there a proof that the interval represents a uniform distribution? Or anything about the topology or other distributions? This is interesting from an information standpoint. steve From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 07:28:38 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id HAA02182 for reliable_computing-outgoing; Fri, 1 Oct 1999 07:28:37 -0500 (CDT) Received: from cs.clemson.edu (citron.cs.clemson.edu [130.127.48.6]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id HAA02173 for ; Fri, 1 Oct 1999 07:28:25 -0500 (CDT) Received: from merlin.cs.clemson.edu (merlin [130.127.48.80]) by cs.clemson.edu (8.9.3/8.9.3) with ESMTP id IAA08113; Fri, 1 Oct 1999 08:28:22 -0400 (EDT) Received: (from steve@localhost) by merlin.cs.clemson.edu (8.9.3/8.9.3) id IAA15936; Fri, 1 Oct 1999 08:28:21 -0400 (EDT) From: Steve Stevenson MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Date: Fri, 1 Oct 1999 08:28:21 -0400 (EDT) To: "Dr. George F. Corliss MU MSCS" Cc: steve [at] cs [dot] clemson.edu, rbk [at] usl [dot] edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu Subject: Re: Accreditation of Codes In-Reply-To: <199909291640.MAA22291 [at] cs [dot] clemson.edu> References: <199909291640.MAA22291 [at] cs [dot] clemson.edu> X-Mailer: VM 6.43 under 20.4 "Emerald" XEmacs Lucid Message-ID: <14324.42819.597545.985440 [at] merlin [dot] cs.clemson.edu> Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Dr. George F. Corliss MU MSCS writes: > Steve, > > > Just by breezing through your note, it appears you use "validation" as > > we use verification. A much different problem. Please elucidate. > The interval community is not as careful about its use of > those words as you are. Our loss. We tend to use "validation" > and "verification" interchangably. In the early 80's, I wrote > software we called SVALAQ - Self-Validating Adaptive Quadrature. > What we thought we meant was that, assuming IEEE arithmetic > works as specified (I see I'd better read your paper on that), > and assuming there are no logic errors in our program (which is > what I understand the domain of "validation" in your community), > we either > 1. Returned in interval [c, d] in which a definite integral lies, or > 2. "We cannot do #1" In general mathematics doesn't make the distinction since its irrelevant in the proof world. Logical errors in the program are should be scarfed up during "verification". Validation asks the same questions as the scientist: what does this have to do with the real world. > We interval folks believe we are talking about real machines, > assuming IEEE arithmetic works. We may at times be less than > rigorous in considering underflow, overflow, NaNs, and the like. > Again, it sounds like I should read your paper and have my > world shaken :-) > > > I think this is close, but again does not talk about real > > computing. Here's a simple example: suppose the physicist lies down > > the following formula, f = sin((n\pi+s)x)+a - ((x-b)+c), and then she > > declares that the "science" is in the root, and the observations for x > > with a given set of n,s,a,b,c is \mu\pm\sigma. You now turn loose your > > favorite algorithm and get m and m isn't close to \mu. Now what? > > Well, for one thing, the problem I gave you is horridly conditioned > > around a small root. Now, you physicist doesn't know this and then > > solves it using whatever. And misses completely. Now what. > For a sufficiently ill conditioned problem, either my interval > algorithm will break down, and I'll admit defeat, or else I will > return a wide interval. The wide interval encloses answers I might > have gotten with floating point arithmetic, and its width is a > warning that I do not know the answer with any accuracy. Do you know that the algorithm has broken down? Take for example some of the stuff in Lapack. They use a simple algorithm in some cases that might not work, but is really fast. They can tell if the method didn't work and switch to a more careful, but expensive, algorithm. > > > Ah, there's the 'correct word': you verify. The problem is that > > verification may not carry over to the machine. See my discussion in > > May/June "Computing in Science and Engineering." > Kulisch has been campaigning for 25-30 years for computer > arithmetic implementations that rigorously obey a set of axioms. > However, even he did not pay close attention to underflow, > overflow, NaN, and similar exceptional conditions. That is > where there appears fruitful ground for cooperation. William Kahan maintains a web site at Berkeley with the latest on IEEE. I'm a strict constructionist, so I don't think we'll get axioms at the floating point level. What we need, I think, is something that we can tie to IEEE-like systems but can verify dynamically. Ah, such is philosophy for the day. Have a nice weekend. steve From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 07:35:59 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id HAA02309 for reliable_computing-outgoing; Fri, 1 Oct 1999 07:35:59 -0500 (CDT) Received: from cs.clemson.edu (citron.cs.clemson.edu [130.127.48.6]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id HAA02304 for ; Fri, 1 Oct 1999 07:35:55 -0500 (CDT) Received: from merlin.cs.clemson.edu (merlin [130.127.48.80]) by cs.clemson.edu (8.9.3/8.9.3) with ESMTP id IAA08202; Fri, 1 Oct 1999 08:35:54 -0400 (EDT) Received: (from steve@localhost) by merlin.cs.clemson.edu (8.9.3/8.9.3) id IAA15954; Fri, 1 Oct 1999 08:35:54 -0400 (EDT) From: Steve Stevenson MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Date: Fri, 1 Oct 1999 08:35:54 -0400 (EDT) To: William Walster Cc: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk [at] usl [dot] edu Subject: Re: Accreditation of Codes In-Reply-To: <0FIW00FJXBCAB8@ha-sims.eng.sun.com> References: <0FIW00FJXBCAB8@ha-sims.eng.sun.com> X-Mailer: VM 6.43 under 20.4 "Emerald" XEmacs Lucid Message-ID: <14324.43549.711040.455635 [at] merlin [dot] cs.clemson.edu> Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Bill: This is a good precis of the problem, regardless of the method used to try to get an answer. One thing that would be really useful is to be able to understand the topology of convergence for iterative routines. Does the interval world tell me any such thing? steve William Walster writes: > > Sorry, > > But I must make some comments regarding this thread: > > 1) It is important to distinguish between various contributors > to the width of an interval result: > > a) width in input data, ie. measurement error > b) modeling errors, for which interval bounds may > be included > c) interactions of the above with the condition or > inherent stability of the problem > d) numerical instability resulting from rounding errors > and catestrophic cancellation in an algorithm > e) interval dependence > > To the extent that a, b, and c are responsible for width of results, > this is what you want to see. It is telling you that given the information > with which you have to work, this is the best you can do regarding bounds > on the answer you are computing. > > To the extend that d and e are dominating the width of the answer, cleaning > up the algorithm and/or using a more sophisticated approach may be required. > We, in the interval community work hard to make sure that a, b, and c and > *not* d and e are the primary sources of interval width. Nevertheless, > as George and Baker have pointed out, whenever an interval result is > bounded away from some critical value, this constitutes a numerical > proof, given, of course that implementation errors and unknown modeling > errors do not exist. > > As for quality of implementation, because interval "containment" is > such a strong requirement, and because width is so visible, my > expectation is that you will see much higher quality in interval > implementations than have traditionally been the case in the > point world. From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 09:13:39 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id JAA02669 for reliable_computing-outgoing; Fri, 1 Oct 1999 09:13:39 -0500 (CDT) Received: from d22.ucs.usl.edu (root [at] d22 [dot] ucs.usl.edu [130.70.113.22]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id JAA02664 for ; Fri, 1 Oct 1999 09:13:21 -0500 (CDT) Received: from d22.ucs.usl.edu (rbk5287 [at] d22 [dot] ucs.usl.edu [130.70.113.22]) by d22.ucs.usl.edu (8.9.1/8.9.1/ucs-client_1.3) with SMTP id JAA13831; Fri, 1 Oct 1999 09:13:15 -0500 (CDT) Message-Id: <199910011413.JAA13831 [at] d22 [dot] ucs.usl.edu> Date: Fri, 1 Oct 1999 09:13:15 -0500 (CDT) From: Kearfott Ralph B Reply-To: Kearfott Ralph B Subject: Re: Accreditation of Codes To: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: su/p7ITh8mcbZ1Bt5cXrBg== X-Mailer: dtmail 1.2.1 CDE Version 1.2.1 SunOS 5.6 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk > From: Steve Stevenson > Date: Fri, 1 Oct 1999 08:21:16 -0400 (EDT) > To: "R. Baker Kearfott" > Cc: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu > Subject: Re: Accreditation of Codes > > R. Baker Kearfott writes: > > > > That's true, interval arithmetic does not distinguish between > > different points in the interval in the sense of a non-uniform > > statistical distribution. (That is, an arithmetic interval corresponds > > to a uniform distribution.) However, in validating (i.e. in producing > > rigorous error bounds) on a root that is already known approximately, > > tight intervals, on the order of the roundoff error achievable with > > point arithmetic, are often obtainable. > > Is there a proof that the interval represents a uniform distribution? > Or anything about the topology or other distributions? This is > interesting from an information standpoint. > > steve Steve, My statement mainly dealt with the assumptions underlying interval arithmetic. In particular, if [x] and [y] are intervals, then [x] op [y] represents the set of all results z = x op y with x in [x] and y in [y]. In common interval arithmetic, no structure is assumed about any statistical distribution in the intervals [x] and [y]. However, some have studied variants of interval arithmetic in which distributions are implied. Vladik Kreinovich (vladik [at] cs [dot] utep.edu) may know something about this. Also, I hypothesize that something can be said about the intervals that result from a computation that starts with point data and proceeds with intervals from outward rounding. Best regards, Baker R. Baker Kearfott, rbk [at] louisiana [dot] edu (318) 231-5346 (fax) (318) 231-5270 (work) (318) 981-9744 (home) From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 09:30:35 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id JAA02808 for reliable_computing-outgoing; Fri, 1 Oct 1999 09:30:35 -0500 (CDT) Received: from d22.ucs.usl.edu (root [at] d22 [dot] ucs.usl.edu [130.70.113.22]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id JAA02803 for ; Fri, 1 Oct 1999 09:30:32 -0500 (CDT) Received: from d22.ucs.usl.edu (rbk5287 [at] d22 [dot] ucs.usl.edu [130.70.113.22]) by d22.ucs.usl.edu (8.9.1/8.9.1/ucs-client_1.3) with SMTP id JAA13897; Fri, 1 Oct 1999 09:30:27 -0500 (CDT) Message-Id: <199910011430.JAA13897 [at] d22 [dot] ucs.usl.edu> Date: Fri, 1 Oct 1999 09:30:27 -0500 (CDT) From: Kearfott Ralph B Reply-To: Kearfott Ralph B Subject: Re: Accreditation of Codes To: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: nb1HZyxERPq/9KDE0i2xuw== X-Mailer: dtmail 1.2.1 CDE Version 1.2.1 SunOS 5.6 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk > From: Steve Stevenson > Date: Fri, 1 Oct 1999 08:28:21 -0400 (EDT) > To: "Dr. George F. Corliss MU MSCS" > Cc: steve [at] cs [dot] clemson.edu, rbk [at] usl [dot] edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu > Subject: Re: Accreditation of Codes > > Dr. George F. Corliss MU MSCS writes: > > Steve, > > > > works as specified (I see I'd better read your paper on that), > > and assuming there are no logic errors in our program (which is > > what I understand the domain of "validation" in your community), > > we either > > 1. Returned in interval [c, d] in which a definite integral lies, or > > 2. "We cannot do #1" > > In general mathematics doesn't make the distinction since its > irrelevant in the proof world. Logical errors in the program are > should be scarfed up during "verification". Validation asks the same > questions as the scientist: what does this have to do with the real world. > Certainly, an error in the program will invalidate an interval algorithm. However, interval arithmetic can also be used as a tool to certify programs. For example, coworkers and I published a simple relatively portable interval arithmetic library about a decade ago. The library had a fairly extensive testing procedure, in which enclosures for things such as pi were computed. On one installation, the interval result did not contain pi as it should. The reason was that the Fortran compiler being used, although conformant to the Fortran standard, was not conformant to the portion of the IEEE standard dealing with binary to decimal conversions. The problem was immediately apparent from the installation process. > Do you know that the algorithm has broken down? Take for example some > of the stuff in Lapack. They use a simple algorithm in some cases that > might not work, but is really fast. They can tell if the method didn't > work and switch to a more careful, but expensive, algorithm. > When intervals are used, there is more knowledge about whether the algorithm has broken down than is typical in floating point algorithms. I agree, Lapack is carefully crafted (or at least has some good parts) and has more such features than many codes. Nonetheless, there is certainty obtainable with interval computations that is not obtainable with floating point. I, for one, am not arguing that interval computations should replace floating point. My contention is mainly that such computations, applied in appropriate places in overall codes or applied to certain problems, can provide validation of results that is otherwise unobtainable. Best regards, Baker R. Baker Kearfott, rbk [at] louisiana [dot] edu (318) 231-5346 (fax) (318) 231-5270 (work) (318) 981-9744 (home) From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 10:33:09 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id KAA03006 for reliable_computing-outgoing; Fri, 1 Oct 1999 10:33:09 -0500 (CDT) Received: from cs.utep.edu (galaxy.cs.utep.edu [129.108.5.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id KAA03001 for ; Fri, 1 Oct 1999 10:32:56 -0500 (CDT) Received: from earth.cs.utep.edu (earth.cs.utep.edu [129.108.5.21]) by cs.utep.edu (8.9.3/8.9.3) with SMTP id JAA01895; Fri, 1 Oct 1999 09:26:24 -0600 (MDT) Message-Id: <199910011526.JAA01895 [at] cs [dot] utep.edu> Date: Fri, 1 Oct 1999 09:25:47 -0600 (MDT) From: vladik Reply-To: vladik Subject: Re: Accreditation of Codes To: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk5287 [at] usl [dot] edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: broON1NGtby9DYPEot7Chw== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.4 SunOS 5.7 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk R. Baker Kearfott wrote: >> Is there a proof that the interval represents a uniform distribution? >> Or anything about the topology or other distributions? This is >> interesting from an information standpoint. > In common interval arithmetic, no structure is assumed > about any statistical distribution in the intervals [x] and [y]. However, > some have studied variants of interval arithmetic in which distributions > are implied. Vladik Kreinovich (vladik [at] cs [dot] utep.edu) may know something > about this. Also, I hypothesize that something can be said about the > intervals that result from a computation that starts with point data and > proceeds with intervals from outward rounding. I agree with Baker's reply 100%. Let me elaborate on his comments on one specific calss of applications of interval computations. As Bill has mentioned, one of the main areas of application of interval computations is dealing with the uncertainty of the input data. In many real-life situations, we want to know the value of a physical quantity y which is too difficult or impossible to measure directly, like the distance to a quasar or the amount of oil in a well. To measure this quantity, we measure other quantities x1,...,xn which are related to y, and then reconstruct y from the results of measuring x. In case we know the relation betweeb xi and y exactly, we get a computable function y=f(x1,...,xn). (This function is most frequently not an analytical expression, but rather a complicated algorithm). The problem is that measurements are not 100% accurate, so the measured values Xi are, in general, different from the actual values xi of the measured quantities. As a result, the value Y=f(X1,...,Xn) computer from these measured values will be, in general, different from the desired value y=f(x1,...,xn). The question is how can we estimate the error Y-y of this indirect measurement. In traditional engineering approach to measurement errors, we assume that we know the distribution (Gaussian, uniform, etc.), and proceed from there. This approach assumes that we calibrate each measuring instrument, i.e., find the corresponding probability distibution by comparing the result of each measuring by using this instrument with the result of measuring the same quantity by a much more accurate (standard) measuring instrument. There are two main cases, however, when such a clibration is not done: * one is findamnetal physics of cutting-edge measurement. We would love to calibrate Hubble telescope, but there is no better Hubble telescope floating nearby and having the better accuracy: Hubble is the best we have. * another is manufacturing, We could calibrate all the sensors, but that would cost too much money. In both cases, for each of the directly measured quantities xi, we do not know the probabilities of different values of measurement error Xi-xi. The onoly information we have, from the manufacturer of this sensor, is the upper bound Di on the absolute value of this error. (If we do not have even such an upper bound, then this "sensor" does not tell us anything about the actaul value at all, because whatever we measure, the actual value can be as far away as possible; so to be called a measuring instrument, you must have an uuper bound at least). Since we know the upper bound, this means that when we measure the actual value as Xi, the actual value xi can be any number from the interval [Xi-Di,Xi+Di]. As a result, after each measurement, the only thing we know about the actual value xi is that belongs to the interval [Xi-Di,Xi+Di]; we do not know which values are more frequent, and which values are less frequent. In principle, we could have arbitrary probability distributions for each error Xi-xi, provided that these probability distributions are located within the corresponding intervals [-Di,Di]. Based on this information, the only thing that we can tell about y is the interval of possible values of f(x1,...,xn) when xi is from [Xi-Di,Xi+Di]. Interval computations provide an enclosure for this interval. (and in some good cases, this interval itself). Interval computations do not correspond to any specific distribution, they correspond to a class of distributions: namely, to the class of all distributions located on a given interval. In this sense, interval computations form a partiular case of "robust statistics": the area of statistics (started by Huber) hwre instead of assuming that we know the exact probability distribution, we only assume that we know a class of distributions to which the actual distribution belongs. Of course, as Baker has correctly mentioned, intervals are only one specific case of robust statistics. In many real-life situations, in addition to knowing the interval of possible values of error, we also have some additional information about the probability distribution: e.g., we may know the bounds on the second moment, or we may know that the average is 0, etc. Many such cases are handled in robust statistics, some of them are close to interval computations. Bill Waster handled some of these cases as part of his research in intervals; we had a joint paper with him: G. William Walster and Vladik Kreinovich, "For unknown-but-bounded errors, interval estimates are often better than averaging", ACM SIGNUM Newsletter, 1996, Vol. 31, No. 2, pp. 6-19. from which you can also get references to his earlier papers. Vladik Vladik Kreinovich Department of Computer Science University of Texas at El Paso El Paso, TX 79968 P.S. Just three examples why assuming uniform distribution may not be a good idea: * firsy, many measuring instruments are designed by tuning. If the original error was outside the desired interval, we tune it until it is inside. So, in most cases, we get the resulting error either at the left endpoint -Di, or at the right endpoint +Di of the desired error interval. The resulting distribution (oberseved in practice) is two-mode, far from uniform * the sinusoid which flows thorugh the wires at 60 Hz causes measuring errors which have the arcsin law distribution - also a two-mode one * if we take, e.g., an average, and assume the uniform distribution, then we can, in principle, get the error to 0 by repeating measurements menay times and taking an arithmetic average. In reality, however, the error could be located in one of the endpoints e.g., in Di, with a probability 1. In this case, repeated measurements will not decrease it. Interval computations produce, in this case, the worst-case (guaranteed) interval [-Di,Di] for the average of several measurements. From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 11:24:26 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id LAA03219 for reliable_computing-outgoing; Fri, 1 Oct 1999 11:24:26 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id LAA03214 for ; Fri, 1 Oct 1999 11:24:23 -0500 (CDT) Received: from engmail3.Eng.Sun.COM ([129.144.170.5]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id JAA00406; Fri, 1 Oct 1999 09:24:16 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail3.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id JAA04342; Fri, 1 Oct 1999 09:24:15 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FIX00MH7MWFHB@ha-sims.eng.sun.com>; Fri, 1 Oct 1999 09:24:15 -0700 (PDT) Date: Fri, 01 Oct 1999 09:24:15 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: rbk [at] usl [dot] edu, steve [at] cs [dot] clemson.edu Cc: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu Reply-to: William Walster Message-id: <0FIX00MH8MWFHB@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.2 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=us-ascii Content-MD5: Gw3RFxt2WoPkoFe59VgnWg== Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk >From strictly an interval perspective, there is no information about the distribution. All that can be said is that the answer *is* in the interval. People have been working on attempting to mechanically propogate distributions through arbitrary expressions, but I have not seen any real progress. The distribution theory is horrendously complicated. This is the reason why statisticians can mostly only work with Gaussian random variables and functions thereof. They are the only random variables for which the distribution theory can be worked out, and even for them it very tough. Take for example: Xi and Yi to be independently distributed Gaussian RVs with non-zero means and common variance, sigma^2. Then Sum (Xi)^2 ---------------------- Sum (Xi)2 + Sum (Yi)^2 has the doubly noncentral beta distribution. This is related to the doubly noncentral F distribution. In any case, this distribution can only be written down as a double infinite series of incomplete beta functions. This is deep stuff, and the above is not a particularly nasty function. Think about the problem of driving any distribution on observations through arbitrary nonlinear expressions. I believe using bounds on the error in observations as constraints, while crude, can get us *much* further, much faster than attempting to deal with statistical distribution theory. Cheers, Bill >Date: Fri, 01 Oct 1999 08:21:16 -0400 (EDT) >From: Steve Stevenson >Subject: Re: Accreditation of Codes >To: "R. Baker Kearfott" >Cc: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu >MIME-version: 1.0 >Content-transfer-encoding: 7bit > >R. Baker Kearfott writes: > > > > >I don't think you missed my point about the computation. My question > > >is, "How do I interpret your answer?" You give me an interval, but > > >what is the most probable value of the root? Certainly you don't > > >intend that --- information- theoretically speaking --- every point in > > >that interval has an equiprobable chance of being the root. > > > > > > > That's true, interval arithmetic does not distinguish between > > different points in the interval in the sense of a non-uniform > > statistical distribution. (That is, an arithmetic interval corresponds > > to a uniform distribution.) However, in validating (i.e. in producing > > rigorous error bounds) on a root that is already known approximately, > > tight intervals, on the order of the roundoff error achievable with > > point arithmetic, are often obtainable. > >Is there a proof that the interval represents a uniform distribution? >Or anything about the topology or other distributions? This is >interesting from an information standpoint. > >steve > > >======================================================================= >See http://www.cs.clemson.edu/~steve/ivandv for detailed information on >submitting and "unsubscribing". Problems to ivandv-owner [at] cs [dot] clemson.edu > From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 12:14:15 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id MAA03411 for reliable_computing-outgoing; Fri, 1 Oct 1999 12:14:15 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id MAA03406 for ; Fri, 1 Oct 1999 12:14:13 -0500 (CDT) Received: from engmail4.Eng.Sun.COM ([129.144.134.6]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id KAA27157; Fri, 1 Oct 1999 10:14:09 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail4.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id KAA09101; Fri, 1 Oct 1999 10:14:08 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FIX003FFP7KRY@ha-sims.eng.sun.com>; Fri, 1 Oct 1999 10:14:08 -0700 (PDT) Date: Fri, 01 Oct 1999 10:14:08 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk5287 [at] usl [dot] edu Reply-to: William Walster Message-id: <0FIX003FGP7KRY@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.2 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=us-ascii Content-MD5: 8/ufI/z/f31iUe9kYAIUGg== Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk >Date: Fri, 01 Oct 1999 09:13:15 -0500 (CDT) >From: Kearfott Ralph B >Subject: Re: Accreditation of Codes >To: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu >MIME-version: 1.0 >Content-MD5: su/p7ITh8mcbZ1Bt5cXrBg== > > >> From: Steve Stevenson >> Date: Fri, 1 Oct 1999 08:21:16 -0400 (EDT) >> To: "R. Baker Kearfott" >> Cc: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu >> Subject: Re: Accreditation of Codes >> >> R. Baker Kearfott writes: >> >> > >> > That's true, interval arithmetic does not distinguish between >> > different points in the interval in the sense of a non-uniform >> > statistical distribution. (That is, an arithmetic interval corresponds >> > to a uniform distribution.) However, in validating (i.e. in producing >> > rigorous error bounds) on a root that is already known approximately, >> > tight intervals, on the order of the roundoff error achievable with >> > point arithmetic, are often obtainable. >> >> Is there a proof that the interval represents a uniform distribution? >> Or anything about the topology or other distributions? This is >> interesting from an information standpoint. No. Baker is right. Think of point mass distributions with half the mass being at the endpoints of each input interval. Or all the mass concentrated anyplace in the input intervals, or distributed any way you want. There is simply *no information* about this in the interval system. We concentrate on getting sharp *bounds*. As I mentioned, the bounds are important, because they let us prove where solutions cannot be. >> >> steve > >Steve, > >My statement mainly dealt with the assumptions underlying interval >arithmetic. In particular, if [x] and [y] are intervals, then >[x] op [y] represents the set of all results z = x op y with x in [x] >and y in [y]. In common interval arithmetic, no structure is assumed >about any statistical distribution in the intervals [x] and [y]. However, >some have studied variants of interval arithmetic in which distributions >are implied. Vladik Kreinovich (vladik [at] cs [dot] utep.edu) may know something >about this. Also, I hypothesize that something can be said about the intervals >that result from a computation that starts with point data and proceeds with >intervals from outward rounding. > >Best regards, > >Baker > > >R. Baker Kearfott, rbk [at] louisiana [dot] edu (318) 231-5346 (fax) >(318) 231-5270 (work) (318) 981-9744 (home) > From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 12:37:37 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id MAA03554 for reliable_computing-outgoing; Fri, 1 Oct 1999 12:37:36 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id MAA03545 for ; Fri, 1 Oct 1999 12:32:37 -0500 (CDT) Received: from engmail2.Eng.Sun.COM ([129.146.1.25]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id KAA04446; Fri, 1 Oct 1999 10:29:41 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail2.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id KAA14707; Fri, 1 Oct 1999 10:29:40 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FIX004IEPXGXQ@ha-sims.eng.sun.com>; Fri, 1 Oct 1999 10:29:40 -0700 (PDT) Date: Fri, 01 Oct 1999 10:29:40 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk5287 [at] usl [dot] edu, vladik [at] cs [dot] utep.edu Reply-to: William Walster Message-id: <0FIX004IFPXGXQ@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.2 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=us-ascii Content-MD5: rHql6vhF3VaRDa4pgCHZbw== Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk I agree with everything Vladik has said. I would add that the problem of calibrating a device can be formulated as a nonlinear global optimization problem. This was done successfully at Lockheed 15 years ago when I was there, using interval arithmetic, of course :) Cheers, Bill >Date: Fri, 01 Oct 1999 09:25:47 -0600 (MDT) >From: vladik >Subject: Re: Accreditation of Codes >To: ivandv [at] mailhost [dot] cs.clemson.edu, steve [at] cs [dot] clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk5287 [at] usl [dot] edu >MIME-version: 1.0 >Content-MD5: broON1NGtby9DYPEot7Chw== > >R. Baker Kearfott wrote: > >>> Is there a proof that the interval represents a uniform distribution? >>> Or anything about the topology or other distributions? This is >>> interesting from an information standpoint. > >> In common interval arithmetic, no structure is assumed >> about any statistical distribution in the intervals [x] and [y]. However, >> some have studied variants of interval arithmetic in which distributions >> are implied. Vladik Kreinovich (vladik [at] cs [dot] utep.edu) may know something >> about this. Also, I hypothesize that something can be said about the >> intervals that result from a computation that starts with point data and >> proceeds with intervals from outward rounding. > >I agree with Baker's reply 100%. Let me elaborate on his comments on one >specific calss of applications of interval computations. > >As Bill has mentioned, one of the main areas of application of interval >computations is dealing with the uncertainty of the input data. > >In many real-life situations, we want to know the value of a physical quantity >y which is too difficult or impossible to measure directly, like the distance >to a quasar or the amount of oil in a well. To measure this quantity, we >measure other quantities x1,...,xn which are related to y, and then reconstruct >y from the results of measuring x. In case we know the relation betweeb xi and >y exactly, we get a computable function y=f(x1,...,xn). (This function is most >frequently not an analytical expression, but rather a complicated algorithm). > >The problem is that measurements are not 100% accurate, so the measured values >Xi are, in general, different from the actual values xi of the measured >quantities. As a result, the value Y=f(X1,...,Xn) computer from these measured >values will be, in general, different from the desired value y=f(x1,...,xn). >The question is how can we estimate the error Y-y of this indirect measurement. > >In traditional engineering approach to measurement errors, we assume that we >know the distribution (Gaussian, uniform, etc.), and proceed from there. This >approach assumes that we calibrate each measuring instrument, i.e., find the >corresponding probability distibution by comparing the result of each measuring >by using this instrument with the result of measuring the same quantity by a >much more accurate (standard) measuring instrument. > >There are two main cases, however, when such a clibration is not done: >* one is findamnetal physics of cutting-edge measurement. We would love to >calibrate Hubble telescope, but there is no better Hubble telescope floating >nearby and having the better accuracy: Hubble is the best we have. >* another is manufacturing, We could calibrate all the sensors, but that would >cost too much money. > >In both cases, for each of the directly measured quantities xi, we do not know >the probabilities of different values of measurement error Xi-xi. The onoly >information we have, from the manufacturer of this sensor, is the upper bound >Di on the absolute value of this error. (If we do not have even such an upper >bound, then this "sensor" does not tell us anything about the actaul value at >all, because whatever we measure, the actual value can be as far away as >possible; so to be called a measuring instrument, you must have an uuper bound >at least). Since we know the upper bound, this means that when we measure the >actual value as Xi, the actual value xi can be any number from the interval >[Xi-Di,Xi+Di]. > >As a result, after each measurement, the only thing we know about the actual >value xi is that belongs to the interval [Xi-Di,Xi+Di]; we do not know which >values are more frequent, and which values are less frequent. In principle, we >could have arbitrary probability distributions for each error Xi-xi, provided >that these probability distributions are located within the corresponding >intervals [-Di,Di]. > >Based on this information, the only thing that we can tell about y is the >interval of possible values of f(x1,...,xn) when xi is from [Xi-Di,Xi+Di]. >Interval computations provide an enclosure for this interval. (and in some good >cases, this interval itself). > >Interval computations do not correspond to any specific distribution, they >correspond to a class of distributions: namely, to the class of all >distributions located on a given interval. In this sense, interval computations >form a partiular case of "robust statistics": the area of statistics (started >by Huber) hwre instead of assuming that we know the exact probability >distribution, we only assume that we know a class of distributions to which the >actual distribution belongs. > >Of course, as Baker has correctly mentioned, intervals are only one specific >case of robust statistics. In many real-life situations, in addition to knowing >the interval of possible values of error, we also have some additional >information about the probability distribution: e.g., we may know the bounds on >the second moment, or we may know that the average is 0, etc. Many such cases >are handled in robust statistics, some of them are close to interval >computations. Bill Waster handled some of these cases as part of his research >in intervals; we had a joint paper with him: > > G. William Walster and Vladik Kreinovich, > "For unknown-but-bounded errors, > interval estimates are often better than averaging", > ACM SIGNUM Newsletter, 1996, Vol. 31, No. 2, pp. 6-19. > >from which you can also get references to his earlier papers. > >Vladik > >Vladik Kreinovich >Department of Computer Science >University of Texas at El Paso >El Paso, TX 79968 > >P.S. Just three examples why assuming uniform distribution may not be a good >idea: >* firsy, many measuring instruments are designed by tuning. If the original >error was outside the desired interval, we tune it until it is inside. So, in >most cases, we get the resulting error either at the left endpoint -Di, or at >the right endpoint +Di of the desired error interval. The resulting >distribution (oberseved in practice) is two-mode, far from uniform >* the sinusoid which flows thorugh the wires at 60 Hz causes measuring errors >which have the arcsin law distribution - also a two-mode one >* if we take, e.g., an average, and assume the uniform distribution, then we >can, in principle, get the error to 0 by repeating measurements menay times and >taking an arithmetic average. In reality, however, the error could be located >in one of the endpoints e.g., in Di, with a probability 1. In this case, >repeated measurements will not decrease it. Interval computations produce, in >this case, the worst-case (guaranteed) interval [-Di,Di] for the average of >several measurements. > From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 12:49:10 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id MAA03685 for reliable_computing-outgoing; Fri, 1 Oct 1999 12:49:10 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id MAA03680 for ; Fri, 1 Oct 1999 12:49:07 -0500 (CDT) Received: from engmail2.Eng.Sun.COM ([129.146.1.25]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id KAA12914; Fri, 1 Oct 1999 10:48:46 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail2.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id KAA18990; Fri, 1 Oct 1999 10:48:45 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FIX0077WQT80A@ha-sims.eng.sun.com>; Fri, 1 Oct 1999 10:48:44 -0700 (PDT) Date: Fri, 01 Oct 1999 10:48:44 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: georgec [at] mscs [dot] mu.edu, steve [at] cs [dot] clemson.edu Cc: steve [at] cs [dot] clemson.edu, rbk [at] usl [dot] edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu Reply-to: William Walster Message-id: <0FIX0077XQT80A@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.2 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=us-ascii Content-MD5: FCbCTaQJnifSswuJA7n9jA== Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk >Date: Fri, 01 Oct 1999 08:28:21 -0400 (EDT) >From: Steve Stevenson >Subject: Re: Accreditation of Codes >To: "Dr. George F. Corliss MU MSCS" >Cc: steve [at] cs [dot] clemson.edu, rbk [at] usl [dot] edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu >MIME-version: 1.0 >Content-transfer-encoding: 7bit > >Dr. George F. Corliss MU MSCS writes: > > Steve, > > > > > Just by breezing through your note, it appears you use "validation" as > > > we use verification. A much different problem. Please elucidate. > > > The interval community is not as careful about its use of > > those words as you are. Our loss. We tend to use "validation" > > and "verification" interchangably. In the early 80's, I wrote > > software we called SVALAQ - Self-Validating Adaptive Quadrature. > > What we thought we meant was that, assuming IEEE arithmetic > > works as specified (I see I'd better read your paper on that), > > and assuming there are no logic errors in our program (which is > > what I understand the domain of "validation" in your community), > > we either > > 1. Returned in interval [c, d] in which a definite integral lies, or > > 2. "We cannot do #1" > >In general mathematics doesn't make the distinction since its >irrelevant in the proof world. Logical errors in the program are >should be scarfed up during "verification". Validation asks the same >questions as the scientist: what does this have to do with the real world. As I mentioned, intervals (assuming the interval system does not have bugs) can be used to *prove* there is an inconsistency between bounded observations and a model of the physical world. I don't believe anything like this is possible using points. > > > We interval folks believe we are talking about real machines, > > assuming IEEE arithmetic works. We may at times be less than > > rigorous in considering underflow, overflow, NaNs, and the like. > > Again, it sounds like I should read your paper and have my > > world shaken :-) > > > > > I think this is close, but again does not talk about real > > > computing. Here's a simple example: suppose the physicist lies down > > > the following formula, f = sin((n\pi+s)x)+a - ((x-b)+c), and then she > > > declares that the "science" is in the root, and the observations for x > > > with a given set of n,s,a,b,c is \mu\pm\sigma. You now turn loose your > > > favorite algorithm and get m and m isn't close to \mu. Now what? > > > > > > Well, for one thing, the problem I gave you is horridly conditioned > > > around a small root. Now, you physicist doesn't know this and then > > > solves it using whatever. And misses completely. Now what. > > > For a sufficiently ill conditioned problem, either my interval > > algorithm will break down, and I'll admit defeat, or else I will > > return a wide interval. The wide interval encloses answers I might > > have gotten with floating point arithmetic, and its width is a > > warning that I do not know the answer with any accuracy. > >Do you know that the algorithm has broken down? Take for example some >of the stuff in Lapack. They use a simple algorithm in some cases that >might not work, but is really fast. They can tell if the method didn't >work and switch to a more careful, but expensive, algorithm. What do you do when you want to take into account fallible observations? > > > > > > Ah, there's the 'correct word': you verify. The problem is that > > > verification may not carry over to the machine. See my discussion in > > > May/June "Computing in Science and Engineering." > > > > Kulisch has been campaigning for 25-30 years for computer > > arithmetic implementations that rigorously obey a set of axioms. > > However, even he did not pay close attention to underflow, > > overflow, NaN, and similar exceptional conditions. That is > > where there appears fruitful ground for cooperation. > >William Kahan maintains a web site at Berkeley with the latest on >IEEE. > >I'm a strict constructionist, so I don't think we'll get axioms at the >floating point level. They are on the way in a forthcoming paper. >What we need, I think, is something that we can >tie to IEEE-like systems but can verify dynamically. > >Ah, such is philosophy for the day. > >Have a nice weekend. > >steve From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 13:04:23 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA03825 for reliable_computing-outgoing; Fri, 1 Oct 1999 13:04:23 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id NAA03820 for ; Fri, 1 Oct 1999 13:04:15 -0500 (CDT) Received: from engmail3.Eng.Sun.COM ([129.144.170.5]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id LAA20602; Fri, 1 Oct 1999 11:04:11 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail3.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id LAA25444; Fri, 1 Oct 1999 11:04:10 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FIX0081TRIYBG@ha-sims.eng.sun.com>; Fri, 1 Oct 1999 11:04:10 -0700 (PDT) Date: Fri, 01 Oct 1999 11:04:10 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk5287 [at] usl [dot] edu Reply-to: William Walster Message-id: <0FIX0081URIYBG@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.2 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=us-ascii Content-MD5: Cd9QoQ1XwyVU8asxUUP0DQ== Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Regarding Baker's last comment: Points have a place generating approximations that can be used as part of interval algorithms. Admitidly I am on one end of the continuum regarding intervals, but I simply will not use point results for anything other than to obtain approximations with unknown accuracy. >Date: Fri, 01 Oct 1999 09:30:27 -0500 (CDT) >From: Kearfott Ralph B >Subject: Re: Accreditation of Codes >To: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu >MIME-version: 1.0 >Content-MD5: nb1HZyxERPq/9KDE0i2xuw== > > >> From: Steve Stevenson >> Date: Fri, 1 Oct 1999 08:28:21 -0400 (EDT) >> To: "Dr. George F. Corliss MU MSCS" >> Cc: steve [at] cs [dot] clemson.edu, rbk [at] usl [dot] edu, ivandv [at] mailhost [dot] cs.clemson.edu, >reliable_computing [at] interval [dot] usl.edu >> Subject: Re: Accreditation of Codes >> >> Dr. George F. Corliss MU MSCS writes: >> > Steve, >> > > > >> > works as specified (I see I'd better read your paper on that), >> > and assuming there are no logic errors in our program (which is >> > what I understand the domain of "validation" in your community), >> > we either >> > 1. Returned in interval [c, d] in which a definite integral lies, or >> > 2. "We cannot do #1" >> >> In general mathematics doesn't make the distinction since its >> irrelevant in the proof world. Logical errors in the program are >> should be scarfed up during "verification". Validation asks the same >> questions as the scientist: what does this have to do with the real world. >> > >Certainly, an error in the program will invalidate an interval algorithm. >However, interval arithmetic can also be used as a tool to certify >programs. For example, coworkers and I published a simple relatively >portable interval arithmetic library about a decade ago. The library had >a fairly extensive testing procedure, in which enclosures for things such >as pi were computed. On one installation, the interval result did not >contain pi as it should. The reason was that the Fortran compiler being >used, although conformant to the Fortran standard, was not conformant to >the portion of the IEEE standard dealing with binary to decimal conversions. >The problem was immediately apparent from the installation process. > > >> Do you know that the algorithm has broken down? Take for example some >> of the stuff in Lapack. They use a simple algorithm in some cases that >> might not work, but is really fast. They can tell if the method didn't >> work and switch to a more careful, but expensive, algorithm. >> >When intervals are used, there is more knowledge about whether the algorithm >has broken down than is typical in floating point algorithms. > >I agree, Lapack is carefully crafted (or at least has some good parts) and has >more such features than many codes. Nonetheless, there is certainty obtainable with >interval computations that is not obtainable with floating point. I, for one, am >not arguing that interval computations should replace floating point. My contention >is mainly that such computations, applied in appropriate places in overall codes or >applied to certain problems, can provide validation of results that is otherwise >unobtainable. > >Best regards, > >Baker > >R. Baker Kearfott, rbk [at] louisiana [dot] edu (318) 231-5346 (fax) >(318) 231-5270 (work) (318) 981-9744 (home) > From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 13:27:16 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA03984 for reliable_computing-outgoing; Fri, 1 Oct 1999 13:27:16 -0500 (CDT) Received: from grande.dcc.unicamp.br (grande.dcc.unicamp.br [143.106.7.8]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id NAA03979 for ; Fri, 1 Oct 1999 13:27:08 -0500 (CDT) Received: from amazonas.dcc.unicamp.br (amazonas.dcc.unicamp.br [143.106.7.11]) by grande.dcc.unicamp.br (8.9.3/8.9.3) with ESMTP id PAA17871 for ; Fri, 1 Oct 1999 15:27:00 -0300 (EST) Received: from coruja.dcc.unicamp.br (coruja.dcc.unicamp.br [143.106.24.80]) by amazonas.dcc.unicamp.br (8.8.5/8.8.5) with ESMTP id PAA10096 for ; Fri, 1 Oct 1999 15:26:59 -0300 (EST) Received: (from stolfi@localhost) by coruja.dcc.unicamp.br (8.8.5/8.8.5) id PAA11905; Fri, 1 Oct 1999 15:26:59 -0300 (EST) Date: Fri, 1 Oct 1999 15:26:59 -0300 (EST) Message-Id: <199910011826.PAA11905 [at] coruja [dot] dcc.unicamp.br> From: Jorge Stolfi To: reliable_computing [at] interval [dot] usl.edu Subject: Re: Accreditation of Codes MIME-Version: 1.0 Content-Transfer-Encoding: 8bit Content-Type: text/plain; charset=iso-8859-1 In-Reply-To: <0FIX003FGP7KRY@ha-sims.eng.sun.com> References: <0FIX003FGP7KRY@ha-sims.eng.sun.com> Reply-To: stolfi [at] dcc [dot] unicamp.br Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk > [R. Baker Kearfott:] In common interval arithmetic, no structure is assumed > about any statistical distribution in the intervals [x] and [y]. However, > some have studied variants of interval arithmetic in which distributions > are implied. As Bill Walster and others have observed, there is little hope for a general "distribution arithmetic" analogous to IA, because the effect of non-linear arithmetic operations on distributions seems algebraically intractable. However, there seems to be modest hope for a "confidence interval arithmetic" where each quantity x is represented by an interval x.int = [x.lo, x.hi] together with the minimum probability x.pr of the true value of x belonging to x.int. Such "confidence intervals" can be combined by arithmetic operations with simple constant-time algorithms. For instance if x belongs to [1,2] with probability >= 0.80, and y belongs to [3,7] with probability >= 0.75, then z = x+y belongs to [4,9] with probability >= 0.55 (The general formula here is z.pr = 1 - max((1 - x.pr) + (1 - y.pr), 0).) Unfortunately, as this example shows, the guaranteed probability estimate may be too pessimistic; in practical applications, x.pr may easily shrink to the useless bound ">= 0" after a few steps. On the other hand, we know that ordinary IA is useful even though it suffers from the same problem. Therefore such a "confidence interval arithmetic" may be useful too. Has this idea been explored already? All the best, --stolfi From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 13:48:24 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA04136 for reliable_computing-outgoing; Fri, 1 Oct 1999 13:48:23 -0500 (CDT) Received: from homer.mat.univie.ac.at (homer.mat.univie.ac.at [131.130.29.70]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id NAA04131 for ; Fri, 1 Oct 1999 13:48:20 -0500 (CDT) Received: (from neum@localhost) by homer.mat.univie.ac.at (8.9.3/8.9.3) id UAA16731; Fri, 1 Oct 1999 20:48:17 +0200 (MET DST) Date: Fri, 1 Oct 1999 20:48:17 +0200 (MET DST) From: Arnold Neumaier Message-Id: <199910011848.UAA16731 [at] homer [dot] mat.univie.ac.at> To: reliable_computing [at] interval [dot] usl.edu, stolfi [at] dcc [dot] unicamp.br Subject: Re: Accreditation of Codes Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk >>Therefore such a "confidence interval arithmetic" may be useful too. Has this idea been explored already?<< There are some papers by Berleant Interval Based, Automatically Verified Arithmetic on Random Variables http://engr.uark.edu/~djb/Research/Pdfs/Overview/index.html From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 13:52:53 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA04243 for reliable_computing-outgoing; Fri, 1 Oct 1999 13:52:53 -0500 (CDT) Received: from homer.mat.univie.ac.at (homer.mat.univie.ac.at [131.130.29.70]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id NAA04238 for ; Fri, 1 Oct 1999 13:52:49 -0500 (CDT) Received: (from neum@localhost) by homer.mat.univie.ac.at (8.9.3/8.9.3) id UAA16648 for reliable_computing [at] interval [dot] usl.edu; Fri, 1 Oct 1999 20:52:48 +0200 (MET DST) Date: Fri, 1 Oct 1999 20:52:48 +0200 (MET DST) From: Arnold Neumaier Message-Id: <199910011852.UAA16648 [at] homer [dot] mat.univie.ac.at> To: reliable_computing [at] interval [dot] usl.edu Subject: Interval confidence Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Berleant's link to his publications is no good; use http://engr.uark.edu/~djb/me/vita/vita.html instead From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 15:02:21 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id PAA04495 for reliable_computing-outgoing; Fri, 1 Oct 1999 15:02:20 -0500 (CDT) Received: from whitestone.ncsl.nist.gov (whitestone.ncsl.nist.gov [129.6.58.150]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id PAA04490 for ; Fri, 1 Oct 1999 15:02:17 -0500 (CDT) Received: from whitestone.ncsl.nist.gov (localhost [127.0.0.1]) by whitestone.ncsl.nist.gov (8.8.5/8.8.5) with ESMTP id QAA23093; Fri, 1 Oct 1999 16:02:03 -0400 Message-Id: <199910012002.QAA23093 [at] whitestone [dot] ncsl.nist.gov> X-Mailer: exmh version 1.6.9 05/05/96 From: "Paul E. Black" To: ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu Subject: Floating Point Axioms (Was: Accreditation of Codes) In-reply-to: Your message of "Fri, 01 Oct 1999 10:48:44 PDT." <0FIX0077XQT80A@ha-sims.eng.sun.com> Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Date: Fri, 01 Oct 1999 16:02:02 -0400 Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk > > Kulisch has been campaigning for 25-30 years for computer > > arithmetic implementations that rigorously obey a set of axioms. > > However, even he did not pay close attention to underflow, > > overflow, NaN, and similar exceptional conditions. That is > > where there appears fruitful ground for cooperation. > >William Kahan maintains a web site at Berkeley with the latest on >IEEE. > >I'm a strict constructionist, so I don't think we'll get axioms at the >floating point level. John Harrison, currently at Intel, formalized the IEEE floating point standard and proved that a particular hardware designs correctly implements it. The formalization includes guard and rounding bits. He did it in a mechanized system, HOL, (as opposed to, say, paper and pencil) so the results are quite dependable. -paul- -- Paul E. Black (p.black [at] acm [dot] org) 100 Bureau Drive, Stop 8970 paul.black [at] nist [dot] gov Gaithersburg, Maryland 20899-8970 voice: +1 301 975-4794 fax: +1 301 926-3696 Web: http://hissa.ncsl.nist.gov/~black/black.html KC7PKT From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 1 23:02:24 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id XAA06301 for reliable_computing-outgoing; Fri, 1 Oct 1999 23:02:24 -0500 (CDT) Received: from admin.eng.iastate.edu (admin.eng.iastate.edu [129.186.23.115]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id XAA06296 for ; Fri, 1 Oct 1999 23:02:20 -0500 (CDT) Received: by admin.eng.iastate.edu with Internet Mail Service (5.5.1960.3) id <4CTSTTSR>; Fri, 1 Oct 1999 23:03:45 -0500 Message-ID: From: "Berleant, D." To: reliable_computing [at] interval [dot] usl.edu, stolfi [at] dcc [dot] unicamp.br Subject: Accreditation of codes/interval based arithmetic on distributions Date: Fri, 1 Oct 1999 23:03:44 -0500 MIME-Version: 1.0 X-Mailer: Internet Mail Service (5.5.1960.3) Content-Type: text/plain Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Regarding arithmetic on distributions based on interval computations, the topic is at a stage of development at which there are two distinct approaches addressing the case of automatically verified bounds on the results, and software in existence for both approaches. Here are two of my publications on this topic. When the distributions are assumed independent - Cheng, H. and D. Berleant, A Software Tool for Automatically Verified Reasoning with Intervals and Probability Distributions, International Journal of Reliable Computing Supplement (peer-refereed extended abstracts of APIC '95 International Workshop on Applications of Interval Computations), El Paso, TX, Feb. 23-25, 1995, pp. 58-61. http://ee.iastate.edu/~djb/Research/Pdfs/independent.ps When no independence assumption is made - When the distributions Berleant, D. and C. Goodman-Strauss, Bounding the Results of Arithmetic Operations on Random Variables of Unknown Dependency using Intervals, Reliable Computing, 4: 147-165, 1998. http://ee.iastate.edu/~djb/Research/Pdfs/unknownDependency.ps For a list of these and other relevant papers, please try http://ee.iastate.edu/~djb/Research/Pdfs/Overview/index.html. Also, at Applied Biomathematics they are currently doing some interesting work on this subject (http://ramas.com). For example, they are currently writing a paper showing that the other (Williamson and Downs') approach to operations on distributions of unknown dependency also has an interval component, though Williamson and Downs did not put in those terms. (As an aside, Williamson and Downs' approach is less flexible than Berleant and Goodman-Strauss, in being difficult to extend to new operations and to operands whose ranges straddle zero.) Sincerely, Daniel Berleant From owner-reliable_computing [at] interval [dot] usl.edu Sat Oct 2 09:14:53 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id JAA07573 for reliable_computing-outgoing; Sat, 2 Oct 1999 09:14:52 -0500 (CDT) Received: from marnier.ucs.usl.edu (root@ucs-gw.usl.edu [130.70.40.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id JAA07568 for ; Sat, 2 Oct 1999 09:14:50 -0500 (CDT) Received: from u8174 (goedel.usl.edu [130.70.49.203]) by marnier.ucs.usl.edu (8.9.1/8.9.1/ucs-mx-host_1.3) with SMTP id JAA18597; Sat, 2 Oct 1999 09:14:47 -0500 (CDT) Message-Id: <2.2.32.19991002141530.0070a680 [at] pop [dot] usl.edu> X-Sender: rbk5287 [at] pop [dot] usl.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Sat, 02 Oct 1999 09:15:30 -0500 To: reliable_computing [at] interval [dot] usl.edu From: "R. Baker Kearfott" Subject: interval.usl.edu reconfigured Cc: jpd [at] usl [dot] edu Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Colleagues, The disks on interval.usl.edu, now also accessible as interval.louisiana.edu, have been replaced with higher-capacity ones. Everything seems to be working with the new configuration. I wish to thank James Dugal, who is now director of computing services at the university, for taking the time to do this. Please report it to me if you have any trouble with browser links for http://interval.usl.edu, if you have trouble accessing any of the files in the anonymous ftp area of interval.usl.edu, or if you have any trouble accessing the archive files for this mailing list. Best regards, Baker --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (318) 482-5346 (fax) (318) 482-5270 (work) (318) 981-9744 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 07:48:49 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id HAA11194 for reliable_computing-outgoing; Mon, 4 Oct 1999 07:48:49 -0500 (CDT) Received: from cs.clemson.edu (citron.cs.clemson.edu [130.127.48.6]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id HAA11189 for ; Mon, 4 Oct 1999 07:48:45 -0500 (CDT) Received: from merlin.cs.clemson.edu (merlin [130.127.48.80]) by cs.clemson.edu (8.9.3/8.9.3) with ESMTP id IAA13981; Mon, 4 Oct 1999 08:48:28 -0400 (EDT) Received: (from steve@localhost) by merlin.cs.clemson.edu (8.9.3/8.9.3) id IAA17941; Mon, 4 Oct 1999 08:48:27 -0400 (EDT) From: Steve Stevenson MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Date: Mon, 4 Oct 1999 08:48:27 -0400 (EDT) To: Kearfott Ralph B Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu Subject: Re: Accreditation of Codes In-Reply-To: <199910011430.JAA13897 [at] d22 [dot] ucs.usl.edu> References: <199910011430.JAA13897 [at] d22 [dot] ucs.usl.edu> X-Mailer: VM 6.43 under 20.4 "Emerald" XEmacs Lucid Message-ID: <14328.41148.693573.16321 [at] merlin [dot] cs.clemson.edu> Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Kearfott Ralph B writes: > Certainly, an error in the program will invalidate an interval algorithm. > However, interval arithmetic can also be used as a tool to certify > programs. For example, coworkers and I published a simple relatively > portable interval arithmetic library about a decade ago. The library had > a fairly extensive testing procedure, in which enclosures for things such > as pi were computed. On one installation, the interval result did not > contain pi as it should. The reason was that the Fortran compiler being > used, although conformant to the Fortran standard, was not conformant to > the portion of the IEEE standard dealing with binary to decimal conversions. > The problem was immediately apparent from the installation process. > > > > Do you know that the algorithm has broken down? Take for example some > > of the stuff in Lapack. They use a simple algorithm in some cases that > > might not work, but is really fast. They can tell if the method didn't > > work and switch to a more careful, but expensive, algorithm. > > > When intervals are used, there is more knowledge about whether the algorithm > has broken down than is typical in floating point algorithms. Are there theorems to that effect? This is where the point computation falls down. But it seems to me that this knowledge of "wrongness" is only presented when I can say what the point error maximum *should* be. > I agree, Lapack is carefully crafted (or at least has some good > parts) and has more such features than many codes. Nonetheless, > there is certainty obtainable with interval computations that is > not obtainable with floating point. I, for one, am not arguing > that interval computations should replace floating point. My > contention is mainly that such computations, applied in appropriate > places in overall codes or applied to certain problems, can provide > validation of results that is otherwise unobtainable. Some mix of the two disciplines. This discussion has been really productive, I think. steve From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 08:05:36 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id IAA11305 for reliable_computing-outgoing; Mon, 4 Oct 1999 08:05:35 -0500 (CDT) Received: from cs.clemson.edu (citron.cs.clemson.edu [130.127.48.6]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id IAA11300 for ; Mon, 4 Oct 1999 08:05:33 -0500 (CDT) Received: from merlin.cs.clemson.edu (merlin [130.127.48.80]) by cs.clemson.edu (8.9.3/8.9.3) with ESMTP id JAA14570; Mon, 4 Oct 1999 09:05:27 -0400 (EDT) Received: (from steve@localhost) by merlin.cs.clemson.edu (8.9.3/8.9.3) id JAA17963; Mon, 4 Oct 1999 09:05:27 -0400 (EDT) From: Steve Stevenson MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Date: Mon, 4 Oct 1999 09:05:27 -0400 (EDT) To: William Walster Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk [at] usl [dot] edu Subject: Re: Accreditation of Codes In-Reply-To: <0FIX001PWOL0SI@ha-sims.eng.sun.com> References: <0FIX001PWOL0SI@ha-sims.eng.sun.com> X-Mailer: VM 6.43 under 20.4 "Emerald" XEmacs Lucid Message-ID: <14328.42416.473378.791355 [at] merlin [dot] cs.clemson.edu> Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk > > I'm not sure I understand what you mean by "the topology of convergence". Iterative things converge, so there is a topology. These things have to nest consistently. Do interval computations narrow that convergence topology or expand it? > As for how to use observations with bounds on observation errors to sharply > bound parameters of nonlinear models, or even to prove that a model > is not sufficiently rich to account for the data, or that if it is, > that the observation error model is not valid, see: > > Walster, G. W., `` Philosophy and Practicalities of Interval Arithmetic'', > in Moore Reliability in Computing. Academic Press, Inc.: San Diego, > California.(1988), pp 309-323. > > and > > Walster, G. W. and Kreinovich, V., ``For unknown-but-bounded errors, interval > estimates are often better than averaging'', ACM SIGNUM Newsletter, > (1996), Vol. 31, No. 2, pp. 6-19. > I'll get these and read them. steve From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 08:25:32 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id IAA11476 for reliable_computing-outgoing; Mon, 4 Oct 1999 08:25:32 -0500 (CDT) Received: from passion.icparc.ic.ac.uk (passion.icparc.ic.ac.uk [155.198.179.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id IAA11471 for ; Mon, 4 Oct 1999 08:25:13 -0500 (CDT) Received: from triumph.icparc.ic.ac.uk ([155.198.177.3] helo=icparc.ic.ac.uk) by passion.icparc.ic.ac.uk with esmtp (Exim 1.92 #1) for reliable_computing [at] interval [dot] usl.edu id 11Y86y-0005xd-00; Mon, 4 Oct 1999 14:25:04 +0100 Message-ID: <37F8AAB0.DAA62E3A [at] icparc [dot] ic.ac.uk> Date: Mon, 04 Oct 1999 14:25:04 +0100 From: Carmen Gervet Organization: IC-Parc, Imperial College, University of London, UK X-Mailer: Mozilla 4.03 [en] (X11; I; SunOS 4.1.3_U1 sun4m) MIME-Version: 1.0 To: reliable_computing [at] interval [dot] usl.edu Subject: PACLP2000 CFP Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk (Apologies for multiple copies) PACLP 2000 CALL FOR PAPERS ============================================================================== THE SECOND INTERNATIONAL CONFERENCE AND EXHIBITION ON THE PRACTICAL APPLICATION OF CONSTRAINT TECHNOLOGIES AND LOGIC PROGRAMMING (http://www.practical-applications.co.uk/PACLP2000/) ============================================================================== Monday 10th - Wednesday 12th April 2000 Crowne Plaza Midland Hotel, Manchester, UK Building on the success of PACLP99, held in London, UK, PACLP 2000 will showcase innovative business solutions that Constraint technologies and Logic Programming can provide in key industrial and commercial areas such as Planning, Scheduling, Transportation, Distribution, The Intelligent Internet and Expert Systems. 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Please remove me from the mailing list From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 09:01:19 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id JAA11681 for reliable_computing-outgoing; Mon, 4 Oct 1999 09:01:19 -0500 (CDT) Received: from crane.prod.itd.earthlink.net (crane.prod.itd.earthlink.net [207.217.120.40]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id JAA11676 for ; Mon, 4 Oct 1999 09:01:15 -0500 (CDT) Received: from company.mail (ip135.garden-city2.ny.pub-ip.psi.net [38.26.50.135]) by crane.prod.itd.earthlink.net (8.8.7/8.8.5) with SMTP id HAA07417 for ; Mon, 4 Oct 1999 07:01:02 -0700 (PDT) Received: from ramas.com [192.0.0.5] by company.mail [127.0.0.1] with SMTP (MDaemon.v2.7.SP5.R) for ; Mon, 04 Oct 1999 10:00:15 -0400 Message-ID: <37F8B260.FC076BD4 [at] ramas [dot] com> Date: Mon, 04 Oct 1999 09:57:52 -0400 From: Scott Ferson Organization: Applied Biomathematics X-Mailer: Mozilla 4.6 [en] (Win95; I) X-Accept-Language: en MIME-Version: 1.0 To: "reliable_computing [at] interval [dot] usl.edu" Subject: uniform distributions Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-MDaemon-Deliver-To: reliable_computing [at] interval [dot] usl.edu X-Return-Path: scott [at] ramas [dot] com Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Intervals do NOT correspond to uniform distributions. The confusion here comes from the fact, now widely recognized, that probability theory has an inadequate model of ignorance. Probabilists since Laplace have used uniform distributions to represent total ignorance about a variable (except for its range) . The problems with such a model are obvious. For example, if one professes ignorance about X, an element in [0,1], computing the distribution of X^2 seems to derive information about the square from out of nowhere. An interval corresponds to an entire class of distributions, specifically all those whose supports lie entirely within the interval bounds. It can be shown that computing with intervals is mathematically equivalent to the corresponding robust calculation with these classes of distributions. Scott Ferson Applied Biomathematics, 516-751-4350, fax -3435 > From: Steve Stevenson > Date: Fri, 1 Oct 1999 08:21:16 -0400 (EDT) > Subject: Re: Accreditation of Codes > > R. Baker Kearfott writes: > > > >I don't think you missed my point about the computation. My question > > >is, "How do I interpret your answer?" You give me an interval, but > > >what is the most probable value of the root? Certainly you don't > > >intend that --- information- theoretically speaking --- every point in > > >that interval has an equiprobable chance of being the root. > > > > That's true, interval arithmetic does not distinguish between > > different points in the interval in the sense of a non-uniform > > statistical distribution. (That is, an arithmetic interval corresponds > > to a uniform distribution.) However, in validating (i.e. in producing > > rigorous error bounds) on a root that is already known approximately, > > tight intervals, on the order of the roundoff error achievable with > > point arithmetic, are often obtainable. > > Is there a proof that the interval represents a uniform distribution? > Or anything about the topology or other distributions? This is > interesting from an information standpoint. > > steve From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 10:02:15 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id KAA11906 for reliable_computing-outgoing; Mon, 4 Oct 1999 10:02:15 -0500 (CDT) Received: from s20.sl.usl.edu (root [at] s20 [dot] sl.usl.edu [130.70.96.20]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id KAA11901 for ; Mon, 4 Oct 1999 10:02:12 -0500 (CDT) Received: from s20.sl.usl.edu (rbk5287 [at] s20 [dot] sl.usl.edu [130.70.96.20]) by s20.sl.usl.edu (8.9.1/8.9.1/ucs-client_1.3) with SMTP id KAA16082; Mon, 4 Oct 1999 10:01:55 -0500 (CDT) Message-Id: <199910041501.KAA16082 [at] s20 [dot] sl.usl.edu> Date: Mon, 4 Oct 1999 10:01:55 -0500 (CDT) From: Kearfott Ralph B Reply-To: Kearfott Ralph B Subject: Re: Accreditation of Codes To: bill.walster [at] eng [dot] sun.com, steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: G2jXp1Po1iRLgeJrO+q/cw== X-Mailer: dtmail 1.2.1 CDE Version 1.2.1 SunOS 5.6 sun4m sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk > From: Steve Stevenson > Date: Mon, 4 Oct 1999 09:05:27 -0400 (EDT) > To: William Walster > Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk [at] usl [dot] edu > Subject: Re: Accreditation of Codes > > > > > I'm not sure I understand what you mean by "the topology of convergence". > > Iterative things converge, so there is a topology. These things have > to nest consistently. Do interval computations narrow that convergence > topology or expand it? > It depends on the computation. For example, locally, an application of an interval Newton method decreases the widths of the sequence of enclosing intervals quadratically, analogously to the point Newton method. A simple example may be found in the introduction in my preprint "On Stopping Criteria in Verified Nonlinear Systems or Optimization Algorithms," available by clicking either "Postscript" or "DVI" under that title on the page http://interval.usl.edu/preprints.html (or directly at the URL http://interval.usl.edu/preprints/TOMS_thick.ps) I believe the metric for the topology commonly used on intervals is the sum of the distances from corresponding end points, or equivalent metric. Best regards, Baker R. Baker Kearfott, rbk [at] louisiana [dot] edu (318) 231-5346 (fax) (318) 231-5270 (work) (318) 981-9744 (home) From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 10:22:52 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id KAA12043 for reliable_computing-outgoing; Mon, 4 Oct 1999 10:22:52 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id KAA12038 for ; Mon, 4 Oct 1999 10:22:49 -0500 (CDT) Received: from engmail3.Eng.Sun.COM ([129.144.170.5]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id IAA09820; Mon, 4 Oct 1999 08:22:36 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail3.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id IAA02393; Mon, 4 Oct 1999 08:22:22 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FJ300DKA419UP@ha-sims.eng.sun.com>; Mon, 4 Oct 1999 08:22:22 -0700 (PDT) Date: Mon, 04 Oct 1999 08:22:21 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: rbk5287 [at] usl [dot] edu, steve [at] cs [dot] clemson.edu Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu Reply-to: William Walster Message-id: <0FJ300DKB419UP@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.4 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=us-ascii Content-MD5: 0bM+wxKTiBJKT5mqGyjU9w== Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk >Date: Mon, 04 Oct 1999 08:48:27 -0400 (EDT) >From: Steve Stevenson >Subject: Re: Accreditation of Codes >To: Kearfott Ralph B >Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu >MIME-version: 1.0 >Content-transfer-encoding: 7bit > >Kearfott Ralph B writes: > > > Certainly, an error in the program will invalidate an interval algorithm. > > However, interval arithmetic can also be used as a tool to certify > > programs. For example, coworkers and I published a simple relatively > > portable interval arithmetic library about a decade ago. The library had > > a fairly extensive testing procedure, in which enclosures for things such > > as pi were computed. On one installation, the interval result did not > > contain pi as it should. The reason was that the Fortran compiler being > > used, although conformant to the Fortran standard, was not conformant to > > the portion of the IEEE standard dealing with binary to decimal conversions. > > The problem was immediately apparent from the installation process. > > > > > > > Do you know that the algorithm has broken down? Take for example some > > > of the stuff in Lapack. They use a simple algorithm in some cases that > > > might not work, but is really fast. They can tell if the method didn't > > > work and switch to a more careful, but expensive, algorithm. > > > > > When intervals are used, there is more knowledge about whether the algorithm > > has broken down than is typical in floating point algorithms. > >Are there theorems to that effect? This is where the point computation >falls down. But it seems to me that this knowledge of "wrongness" is >only presented when I can say what the point error maximum *should* be. One thing for sure: Using interval implementations of two mathematically equivalent algorithms, say A and B, if the results from A and B are disjoint intervals, this is *proof* there is a bug somewhere in A, B, or the systems used to implement them. By investigating where the first disjoint results occure, it may be possible to isolate the source of the bug. With points, nothing comparable to this result, exists. > > > I agree, Lapack is carefully crafted (or at least has some good > > parts) and has more such features than many codes. Nonetheless, > > there is certainty obtainable with interval computations that is > > not obtainable with floating point. I, for one, am not arguing > > that interval computations should replace floating point. My > > contention is mainly that such computations, applied in appropriate > > places in overall codes or applied to certain problems, can provide > > validation of results that is otherwise unobtainable. > >Some mix of the two disciplines. > >This discussion has been really productive, I think. Agreed. > >steve From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 10:37:34 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id KAA12162 for reliable_computing-outgoing; Mon, 4 Oct 1999 10:37:34 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id KAA12157 for ; Mon, 4 Oct 1999 10:37:31 -0500 (CDT) Received: from engmail1.Eng.Sun.COM ([129.146.1.13]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id IAA17453; Mon, 4 Oct 1999 08:37:21 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail1.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id IAA24798; Mon, 4 Oct 1999 08:37:17 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FJ300JAW4Q4WQ@ha-sims.eng.sun.com>; Mon, 4 Oct 1999 08:37:17 -0700 (PDT) Date: Mon, 04 Oct 1999 08:37:16 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: bill.walster [at] eng [dot] sun.com, steve [at] cs [dot] clemson.edu Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk [at] usl [dot] edu Reply-to: William Walster Message-id: <0FJ300JAX4Q4WQ@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.4 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=us-ascii Content-MD5: 8TEt+cqwEVtEQGceD8ZiTQ== Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk >Date: Mon, 04 Oct 1999 09:05:27 -0400 (EDT) >From: Steve Stevenson >Subject: Re: Accreditation of Codes >To: William Walster >Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu, rbk [at] usl [dot] edu >MIME-version: 1.0 >Content-transfer-encoding: 7bit > > > > > I'm not sure I understand what you mean by "the topology of convergence". > >Iterative things converge, so there is a topology. These things have >to nest consistently. Do interval computations narrow that convergence >topology or expand it? I'm still not sure I understand your question. There are iterative interval algorithms for which "nested" and empty interval results constitute *proof* of existence and non-existence. For example, the interval Newton algorithm, or an interval implementation of the Brower fixed-point theorem. However, because of rounding errors and dependence, these results will generally not be obtained as quickly, or as often as is theoretically possible. Nevertheless, *when* nesting occures, it is a proof of the result, assuming of course that the interval system is not buggy. Similarly, empty intervals can be used to prove a result is not possible. Moreover, when it is *known* that a result must exist, and an empty interval is obtained, this is *proof* of a bug, somewhere. Another example of using intervals in iterative computations is to compute bounds on the truncation error of a Taylor series. These bounds take into account all sources of error, and so their width can be used as a natural stopping criterian, taking into account wordlength and rounding. I don't know if I have addressed your question or not. > > > As for how to use observations with bounds on observation errors to sharply > > bound parameters of nonlinear models, or even to prove that a model > > is not sufficiently rich to account for the data, or that if it is, > > that the observation error model is not valid, see: > > > > Walster, G. W., `` Philosophy and Practicalities of Interval Arithmetic'', > > in Moore Reliability in Computing. Academic Press, Inc.: San Diego, > > California.(1988), pp 309-323. > > > > and > > > > Walster, G. W. and Kreinovich, V., ``For unknown-but-bounded errors, interval > > estimates are often better than averaging'', ACM SIGNUM Newsletter, > > (1996), Vol. 31, No. 2, pp. 6-19. > > > >I'll get these and read them. If you have trouble finding them, I can fax you a copy. > >steve From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 11:20:39 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id LAA12384 for reliable_computing-outgoing; Mon, 4 Oct 1999 11:20:39 -0500 (CDT) Received: from crane.prod.itd.earthlink.net (crane.prod.itd.earthlink.net [207.217.120.40]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id LAA12379 for ; Mon, 4 Oct 1999 11:20:36 -0500 (CDT) Received: from company.mail (ip244.garden-city2.ny.pub-ip.psi.net [38.26.50.244]) by crane.prod.itd.earthlink.net (8.8.7/8.8.5) with SMTP id JAA22912 for ; Mon, 4 Oct 1999 09:20:32 -0700 (PDT) Received: from ramas.com [192.0.0.5] by company.mail [127.0.0.1] with SMTP (MDaemon.v2.7.SP5.R) for ; Mon, 04 Oct 1999 12:11:46 -0400 Message-ID: <37F8D1CB.3EDA470E [at] ramas [dot] com> Date: Mon, 04 Oct 1999 12:11:56 -0400 From: Scott Ferson Organization: Applied Biomathematics X-Mailer: Mozilla 4.6 [en] (Win95; I) X-Accept-Language: en MIME-Version: 1.0 To: "reliable_computing [at] interval [dot] usl.edu" Subject: Re: Accreditation of Codes Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-MDaemon-Deliver-To: reliable_computing [at] interval [dot] usl.edu X-Return-Path: scott [at] ramas [dot] com Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk > [R. Baker Kearfott:] > In common interval arithmetic, no structure is assumed > about any statistical distribution in the intervals [x] and [y]. However, > some have studied variants of interval arithmetic in which distributions > are implied. > [William Walster] > People have been working on attempting to mechanically > propogate distributions through arbitrary expressions, but I have not > seen any real progress. The distribution theory is horrendously > complicated. > [Jorge Stolfi] > As Bill Walster and others have observed, there is little hope for a > general "distribution arithmetic" analogous to IA, because the effect > of non-linear arithmetic operations on distributions seems > algebraically intractable. On the contrary, it is possible to marry interval and probabilistic approaches in a fairly natural way that allows us to propagate uncertainty through complex nonlinear operations. The approach is numerical, but with arbitrarily fine discretization, it should be practical for almost any real application. Although much of this work has been quite recent, there is already commercial-grade software available for the Windows environment that implements the calculus. Its web page www.ramas.com/riskcalc.htm includes a couple of pictures. The software takes interval bounds on a cumulative distribution function (a pair of non-decreasing functions sure to enclose the true distribution) and propagates them through arbitrary compositions involving standard mathematical operations (addition, subtraction, multiplication, division, minimum, maximum, power, exp, log, sqrt, negation, sin, cos, arctan, integer part, etc.). The expressions may be as complex as those handled in a Monte Carlo simulation, but the results are automatically verified. Like ordinary interval analysis, this approach may yield overly wide bounds on the distribution when the input variables appear multiple times in the mathematical expression. However, there are brute-force algorithms that can be used to reduce this inflation. Although the questions were originally posed by Kolmogorov, Markov and Chebyshev, the mathematical and numerical tools needed to make calculations with bounds on distributions have only recently been developed. Frank et al. (1987) described how to compute bounds on the distribution that could result from the addition (or subtraction, etc.) of two distributions if only the marginal distributions of the addends are available. Williamson and Downs (1990) showed how these calculations could be implemented rigorously in the sense of interval arithmetic and generalized them to the case of independence between the addends. Dan Berleant and his colleagues (Cheng and Berleant 1995; Berleant and Goodman-Strauss 1998) independently derived another numerical approach to these problems using ideas from the validated computing literature. For the last four years, we have been developing and using the approach in risk analysis problems (Ferson et al. references). We have extended the methods to different dependency structures, generalized them to other mathematical operations, and explored how to estimate bounds for the inputs from commonly available empirical information. Vladik Kreinovich pointed out that the numerical methods developed by Williamson and Berleant appear to be identical with the convolutions of Dempster-Shafer structures suggested by Yager in 1986 for uncertain distributions over the real line. Although derived independently and from very different perspectives, all three approaches (Yager's, Berleant's and Williamson's) are essentially identical for the independent case. Each approach has its advantages in terms of interpretability, ease of generalization, or computational speed. What is interesting and useful is that they all seem to *agree* about what the right answer is when we combine intervals and probability distributions. It doesn't matter whether you start with distributions of intervals, or interval bounds on distributions. Scott Ferson Applied Biomathematics, 516-751-4350, fax -3435 References Cheng, H. and D. Berleant 1995. A software tool for automatically verified reasoning with intervals and probability distributions. International Journal of Reliable Computing (Supplement) 58-61. Berleant, D. and C. Goodman-Strauss 1998. Bounding the results of arithmetic operations on random variables of unknown dependency using intervals. Reliable Computing, 4:147-165. Ferson, S. 1995. Quality assurance for Monte Carlo risk assessments. Proceedings of the 1995 Joint ISUMA/NAFIPS Symposium on Uncertainty Modeling and Analysis, IEEE Computer Society Press, Los Alamitos, California, pp. 14-19. Ferson, S. 1997. Probability bounds analysis software. Computing in Environmental Resource Management. Air and Waste Management Association, Pittsburgh, Pennsylvania. pp. 669-678. Ferson, S., L.R. Ginzburg and H.R. Akçakaya. Whereof one cannot speak: when input distributions are unknown. Risk Analysis [accepted for publication]. (http://www.ramas.com/whereof.pdf) Ferson, S., W. Root and R. Kuhn. 1998. RAMAS Risk Calc: Risk Assessment with Uncertain Numbers. Applied Biomathematics, Setauket, New York. (http://www.ramas.com/riskcalc.htm) Frank, M.J., R.B. Nelsen and B. Schweizer 1987 Best-possible bounds for the distribution of a sum--a problem of Kolmogorov. Probability Theory and Related Fields 74: 199-211. Williamson, R.C. and T. Downs 1990 Probabilistic arithmetic I: numerical methods for calculating convolutions and dependency bounds. International Journal of Approximate Reasoning 4: 89-158. Yager, R.R. 1986 Arithmetic and other operations on Dempster-Shafer structures. International Journal of Man-Machine Studies 25: 357-366. From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 11:51:46 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id LAA12515 for reliable_computing-outgoing; Mon, 4 Oct 1999 11:51:46 -0500 (CDT) Received: from crane.prod.itd.earthlink.net (crane.prod.itd.earthlink.net [207.217.120.40]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id LAA12510 for ; Mon, 4 Oct 1999 11:51:41 -0500 (CDT) Received: from company.mail (ip244.garden-city2.ny.pub-ip.psi.net [38.26.50.244]) by crane.prod.itd.earthlink.net (8.8.7/8.8.5) with SMTP id JAA12176 for ; Mon, 4 Oct 1999 09:51:39 -0700 (PDT) Received: from ramas.com [192.0.0.5] by company.mail [127.0.0.1] with SMTP (MDaemon.v2.7.SP5.R) for ; Mon, 04 Oct 1999 12:36:03 -0400 Message-ID: <37F8D77D.28AE17D5 [at] ramas [dot] com> Date: Mon, 04 Oct 1999 12:36:13 -0400 From: Scott Ferson Organization: Applied Biomathematics X-Mailer: Mozilla 4.6 [en] (Win95; I) X-Accept-Language: en MIME-Version: 1.0 To: "reliable_computing [at] interval [dot] usl.edu" Subject: Re: Accreditation of Codes Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-MDaemon-Deliver-To: reliable_computing [at] interval [dot] usl.edu X-Return-Path: scott [at] ramas [dot] com Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk The topic of [computer] code accreditation has another wrinkle that might be appropriate for the reliable computing list, especially in light of last week's admission by NASA that a failure to convert English units to metric units caused the crash of the probe sent to Mars. Although software currently exists to check and automatically correct calculation streams and Fortran code for both dimensional soundness and conformance of units, nobody seems interested in using it. Shouldn't checking that the equations you're using make dimensional sense be a requisite part of code accreditation? This issue generalizes to making sure that the measurement data are relevant to the inputs specified in the model. For instance, in a toxicity assessment, it's not kosher to use a wet weight in place of a dry weight. Likewise, in a probabilistic simulation, it may not be appropriate to use a variance estimated from a spatial distribution of some variable if the model calls for a temporal distribution. Doing so at least requires the code user to understand that he is making an assumption of ergodicity or equivalence or something. These errors are made ubiquitously. Scott Ferson Applied Biomathematics, 516-751-4350, fax -3435 Relevant references Loehle, C. 1991. Dimensional Reasoner. Dimensional Reasoner, Naperville, Illinois. Ferson, S. and R. Kuhn 1993. Units Calculator, Applied Biomathematics, Setauket, New York. George Hart 1995. Multidimensional Analysis. Springer-Verlag, New York. From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 14:42:49 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id OAA12895 for reliable_computing-outgoing; Mon, 4 Oct 1999 14:42:48 -0500 (CDT) Received: from mercury.Sun.COM (mercury.Sun.COM [192.9.25.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id OAA12890 for ; Mon, 4 Oct 1999 14:42:45 -0500 (CDT) Received: from engmail1.Eng.Sun.COM ([129.146.1.13]) by mercury.Sun.COM (8.9.3+Sun/8.9.3) with ESMTP id MAA03045; Mon, 4 Oct 1999 12:42:43 -0700 (PDT) Received: from ha-sims.eng.sun.com (phys-thestorka.Eng.Sun.COM [129.146.1.231]) by engmail1.Eng.Sun.COM (8.9.1b+Sun/8.9.1/ENSMAIL,v1.6) with ESMTP id MAA29681; Mon, 4 Oct 1999 12:42:42 -0700 (PDT) Received: from gww (gww.Eng.Sun.COM [129.146.78.116]) by ha-sims.eng.sun.com (Sun Internet Mail Server sims.4.0.1999.06.13.00.20) with SMTP id <0FJ300L47G36G3@ha-sims.eng.sun.com>; Mon, 4 Oct 1999 12:42:42 -0700 (PDT) Date: Mon, 04 Oct 1999 12:42:42 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: reliable_computing [at] interval [dot] usl.edu, scott [at] ramas [dot] com Reply-to: William Walster Message-id: <0FJ300L48G36G3@ha-sims.eng.sun.com> MIME-version: 1.0 X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.4 SunOS 5.7 sun4m sparc Content-type: TEXT/plain; charset=ISO-8859-1 Content-MD5: fTdGgJZGkxMv9eUCozjBAA== Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from QUOTED-PRINTABLE to 8bit by interval.usl.edu id OAA12891 Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk This is a *huge* development! Thanks for posting this information. I was totally unaware of these recent achievements. >Date: Mon, 04 Oct 1999 12:11:56 -0400 >From: Scott Ferson >Subject: Re: Accreditation of Codes >To: "reliable_computing [at] interval [dot] usl.edu" >MIME-version: 1.0 >Content-transfer-encoding: 8BIT >X-Accept-Language: en >X-MDaemon-Deliver-To: reliable_computing [at] interval [dot] usl.edu >X-Return-Path: scott [at] ramas [dot] com > > > [R. Baker Kearfott:] > > In common interval arithmetic, no structure is assumed > > about any statistical distribution in the intervals [x] and [y]. >However, > > some have studied variants of interval arithmetic in which >distributions > > are implied. > > > [William Walster] > > People have been working on attempting to mechanically > > propogate distributions through arbitrary expressions, but I have >not > > seen any real progress. The distribution theory is horrendously > > complicated. > > > [Jorge Stolfi] > > As Bill Walster and others have observed, there is little hope for >a > > general "distribution arithmetic" analogous to IA, because the >effect > > of non-linear arithmetic operations on distributions seems > > algebraically intractable. > >On the contrary, it is possible to marry interval and probabilistic >approaches in a fairly natural way that allows us to propagate >uncertainty through complex nonlinear operations. The approach is >numerical, but with arbitrarily fine discretization, it should be >practical for almost any real application. > >Although much of this work has been quite recent, there is already >commercial-grade software available for the Windows environment >that implements the calculus. Its web page www.ramas.com/riskcalc.htm >includes a couple of pictures. The software takes interval bounds on a >cumulative distribution function (a pair of non-decreasing functions >sure to enclose the true distribution) and propagates them through >arbitrary compositions involving standard mathematical operations >(addition, subtraction, multiplication, division, minimum, maximum, >power, exp, log, sqrt, negation, sin, cos, arctan, integer part, etc.). >The expressions may be as complex as those handled in a Monte Carlo >simulation, but the results are automatically verified. Like ordinary >interval analysis, this approach may yield overly wide bounds on the >distribution when the input variables appear multiple times in the >mathematical expression. However, there are brute-force algorithms >that can be used to reduce this inflation. > >Although the questions were originally posed by Kolmogorov, Markov >and Chebyshev, the mathematical and numerical tools needed to make >calculations with bounds on distributions have only recently been >developed. Frank et al. (1987) described how to compute bounds on >the distribution that could result from the addition (or subtraction, >etc.) of two distributions if only the marginal distributions of >the addends are available. Williamson and Downs (1990) showed how >these calculations could be implemented rigorously in the sense of >interval arithmetic and generalized them to the case of independence >between the addends. Dan Berleant and his colleagues (Cheng and >Berleant 1995; Berleant and Goodman-Strauss 1998) independently >derived another numerical approach to these problems using ideas >from the validated computing literature. For the last four years, >we have been developing and using the approach in risk analysis >problems (Ferson et al. references). We have extended the methods >to different dependency structures, generalized them to other >mathematical operations, and explored how to estimate bounds for >the inputs from commonly available empirical information. > >Vladik Kreinovich pointed out that the numerical methods developed >by Williamson and Berleant appear to be identical with the convolutions >of Dempster-Shafer structures suggested by Yager in 1986 for uncertain >distributions over the real line. Although derived independently and >from very different perspectives, all three approaches (Yager's, >Berleant's and Williamson's) are essentially identical for the >independent case. Each approach has its advantages in terms of >interpretability, ease of generalization, or computational speed. >What is interesting and useful is that they all seem to *agree* about >what the right answer is when we combine intervals and probability >distributions. It doesn't matter whether you start with distributions >of intervals, or interval bounds on distributions. > >Scott Ferson >Applied Biomathematics, 516-751-4350, fax -3435 > > >References >Cheng, H. and D. Berleant 1995. A software tool for automatically > verified reasoning with intervals and probability distributions. > International Journal of Reliable Computing (Supplement) 58-61. >Berleant, D. and C. Goodman-Strauss 1998. Bounding the results of > arithmetic operations on random variables of unknown dependency > using intervals. Reliable Computing, 4:147-165. >Ferson, S. 1995. Quality assurance for Monte Carlo risk assessments. > Proceedings of the 1995 Joint ISUMA/NAFIPS Symposium on Uncertainty > Modeling and Analysis, IEEE Computer Society Press, Los Alamitos, > California, pp. 14-19. >Ferson, S. 1997. Probability bounds analysis software. Computing > in Environmental Resource Management. Air and Waste Management > Association, Pittsburgh, Pennsylvania. pp. 669-678. >Ferson, S., L.R. Ginzburg and H.R. Akçakaya. Whereof one cannot > speak: when input distributions are unknown. Risk Analysis > [accepted for publication]. (http://www.ramas.com/whereof.pdf) >Ferson, S., W. Root and R. Kuhn. 1998. RAMAS Risk Calc: Risk > Assessment with Uncertain Numbers. Applied Biomathematics, > Setauket, New York. (http://www.ramas.com/riskcalc.htm) >Frank, M.J., R.B. Nelsen and B. Schweizer 1987 Best-possible bounds > for the distribution of a sum--a problem of Kolmogorov. Probability > Theory and Related Fields 74: 199-211. >Williamson, R.C. and T. Downs 1990 Probabilistic arithmetic I: > numerical methods for calculating convolutions and dependency > bounds. International Journal of Approximate Reasoning 4: 89-158. >Yager, R.R. 1986 Arithmetic and other operations on Dempster-Shafer > structures. International Journal of Man-Machine Studies 25: 357-366. > > > From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 4 18:31:59 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id SAA13226 for reliable_computing-outgoing; Mon, 4 Oct 1999 18:31:58 -0500 (CDT) Received: from bmw.CS.Berkeley.EDU (bmw.CS.Berkeley.EDU [128.32.46.234]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id SAA13221 for ; Mon, 4 Oct 1999 18:31:56 -0500 (CDT) Received: from bmw.CS.Berkeley.EDU (demmel@localhost) by bmw.CS.Berkeley.EDU (8.9.1a/8.9.1) with ESMTP id QAA00634 for ; Mon, 4 Oct 1999 16:31:54 -0700 (PDT) From: "James W. Demmel" Message-Id: <199910042331.QAA00634 [at] bmw [dot] CS.Berkeley.EDU> To: reliable_computing [at] interval [dot] usl.edu Subject: : Reliability of Condition Estimation Date: Mon, 04 Oct 1999 16:31:54 -0700 Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Given the mention of LAPACK in some recent mailings, I thought I would give a pointer to a paper my colleagues and I recently finished "On the Complexity of Computing Error Bounds", at www.cs.berkeley.edu/~demmel/ComplexityCondEst.ps In LAPACK and elsewhere we use "condition estimators" to get error bounds, where the basic operation involves estimating the norm of the inverse of a triangular matrix. These estimators are cheap, often O(n^2), and long experience has shown them to be quite reliable, although counterexamples have been constructed for many of them, i.e. examples where the estimate is very wrong. In this paper we give strong evidence for the conjecture that truly reliable condition estimation cannot cost O(n^2), and in fact must cost at least as much as matrix multiplication. Thus any cheap condition estimators must have counterexamples. Nonetheless, we intend to go on using condition estimators in LAPACK, since there are other perhaps equally (un)likely ways the error bounds could be wrong (see my textbook). We will leave true guarantees to the practitioners of multiprecision and interval arithmetic, and continue to provide error bounds in LAPACK that balance efficiency and reliability. (The actual statement of our result is somewhat technical, and in fact we only show that condition estimation is as hard as "verifying" matrix multiplication "infinitely often". Verifying matrix multiplication mean deciding whether A*B=0, and it is generally believed that verifying this for sure is as expensive as multiplying A*B and comparing to 0. "Infinitely often" means for infinitely many matrix dimensions and input bit lengths. The results extend to other condition estimation problems, and other number rings and fields.) Jim Demmel From owner-reliable_computing [at] interval [dot] usl.edu Thu Oct 7 00:02:23 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id AAA17319 for reliable_computing-outgoing; Thu, 7 Oct 1999 00:02:22 -0500 (CDT) Received: from cse.unl.edu (root [at] cse [dot] unl.edu [129.93.33.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id AAA17314 for ; Thu, 7 Oct 1999 00:02:19 -0500 (CDT) Received: from localhost (fayad@localhost) by cse.unl.edu (8.9.1/8.9.1) with ESMTP id XAA1299604; Wed, 6 Oct 1999 23:52:23 -0500 (CDT) Date: Wed, 6 Oct 1999 23:52:23 -0500 From: Mohamed Fayad To: Undisclosed recipients: ; Subject: Just Published! Three Books Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Greetings, Enclosed please find a brief description of my most recent published three books on Application Frameworks. Sorry for duplicate messages. --------------------- B O O K I Just Published -- Volume One of Three: The first experience-based guide to building object-oriented frameworks Building Application Frameworks: Object-Oriented Foundations of Framework Design Mohamed Fayad, Douglas Schmidt & Ralph Johnson New York: John Wiley & Sons September 1999 ISBN# 0-471-24875-4 688 Pages Cloth By providing reusable skeletons on which to build new applications, frameworks can save you countless hours and thousands (even millions) of dollars in development costs. Written and edited by some of the top names in the object- oriented programming world, this is the first complete study of building frameworks. Using examples drawn from successful implementations world-wide, it walks you through all the steps of a framework development project. Providing guidance on all key technical and business issues surrounding framework construction, it covers: * Techniques for developing, integrating, and adapting frameworks * Leveraging existing design and code * Framework selection and utilization * Tracking, controlling, and documenting framework development * Maintaining, measuring, and controlling framework quality * Training developers in the effective use of frameworks * Evaluation and framework investments __________________________ B O O K II Just Published -- Volume Two of Three: A gold mine of enterprise application frameworks Implementing Application Frameworks: Object-Oriented Frameworks at Work Mohamed Fayad, Douglas Schmidt & Ralph Johnson New York: John Wiley & Sons September 1999 ISBN# 0-471-15012-1 752 Pages Cloth/CD ROM (700 MB) While frameworks can save your company millions in development costs over time, the initial investment can be quite high. This book/CD-ROM package helps you to reduce the cost of framework development by providing 40 case studies documenting the experiences framework builders and users at major corporations and research labs, world-wide. Throughout, the authors extract important lessons and highlight technical and organizational implementation practices that have been proven to yield the biggest pay off. Focusing primarily on business systems and agent-based application frameworks, it covers frameworks for: * Data processing * Agent-based applications * Artificial Intelligence applications * Object-oriented business processes * System application frameworks * Programming languages and tools * And much more The enclosed CD-ROM gives you: * Example frameworks * Documentation and manuals * Framework code and implementation tips * Sample framework architectures and models * Design patterns and presentations * Animated demonstrations -------------------------- B O O K III Just Published -- Volume Three of Three: An invaluable collection of domain-specific frameworks Domain-Specific Application Frameworks: Experience by Industry Mohamed Fayad & Ralph Johnson New York: John Wiley & Sons October 1999 ISBN# 0-471-33280-1 736 Pages Cloth/CD ROM (650+ MB) Frameworks provide generic software architectures that can be reused, indefinitely, to generate new applications. But they don't readily translate from one business or industry domain to another. A telecommunications framework looks very different from a currency trading framework, for instance. Developers need instruction on how to build frameworks specific to the domains they program for. Now, this book/CD-ROM package gives them models-and much more. Each chapter is built around a case study reporting a major framework implementation or customization project. The 30 examples it contains cover an array of application domains, including: * Flexible manufacturing architectures * Computer integrated manufacturing * New generation control systems * Concurrent engineering * Reliable distributed computing * High-performance web servers * Multimedia telecommunications * Networking and telecommunications * Industrial visualization * And many others The enclosed CD-ROM gives you: * Examples frameworks * Documentation and manuals * Framework code and implementation tips * Sample framework architectures and models * Design patterns and presentations * Animated demonstrations =========================== For more information please check the following web sites: www.wiley.com/compbooks/frameworks www.cse.unl.edu/~fayad/books www.cse.unl.edu/~fayad Amazon: www.amazon.com Computer Literacy: www.clbooks.com Barnes & Noble: www.barnesandnoble.com Cheers, M. Fayad ____________________________________________________________ Mohamed E. Fayad, Ph.D. Ph: (402) 472-2615 J.D. Edwards Professor Fax: (402) 472-7767 Computer Science & Engineering E-mail: fayad [at] cse [dot] unl.edu College of Engineering m.fayad [at] computer [dot] org University of Nebraska, Lincoln fayadm [at] acm [dot] org 108 Ferguson Hall, P.O. Box 880115 URL: Lincoln, NE 68588-0115 http://www.cse.unl.edu/~fayad _____________________________________________ J.D. Edwards Honor Program www.unl.edu/jdedward/ _____________________________________________ + Editor-in-Chief - IEEE CS Press (95-97) + Communications of the ACM: Advisory Board Member & Columnist + Al-Ahram (The Egyptians Newspaper) - Columnist + The Lead author and Editor of: 1. "Transition to Object-Oriented Software Development" John Wiley & Sons, August 1998. 2. "Building Application Frameworks: OO foundations of Frame- work Design" John Wiley & Sons, September 1999. 3. "Implementing Application Frameworks: OO Frameworks at work" John Wiley & Sons, September 1999. 4. "Domain-Specific Application Frameworks: Experience by Industry" John Wiley & Sons, October 1999. 5. "Object-Oriented Enterprise Frameworks" John Wiley & Sons, Oct. 2000 6. "Software Stability" John Wiley & Sons, Dec. 2000 Current Editorials: 1. IEEE Software Theme Issue on Software Engineering in-the-Small 2. OOPSLA '99 - 1st Workshop on Software Stability 3. OOPSLA '99 - 1st Workshop on Enterprise Frameworks 4. OOPSLA '99 - OO Distributed Computing: From Theory to Practice 5. NSF US-Egypt Workshop on Information Technology - 2000 ____________________________________________________________ From owner-reliable_computing [at] interval [dot] usl.edu Sat Oct 9 13:58:55 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA22059 for reliable_computing-outgoing; Sat, 9 Oct 1999 13:58:39 -0500 (CDT) Received: from fep04-svc.tin.it (mta04-acc.tin.it [212.216.176.35]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id NAA22054 for ; Sat, 9 Oct 1999 13:58:33 -0500 (CDT) Received: from giorgio ([212.52.74.194]) by fep04-svc.tin.it (InterMail v4.01.01.02 201-229-111-106) with SMTP id <19991009185757.RNJC11717.fep04-svc@giorgio> for ; Sat, 9 Oct 1999 20:57:57 +0200 From: Giorgio Scioldo To: Date: Sat, 09 Oct 1999 21:13:00 +0100 Subject: Geoengineering meetings Reply-To: scioldo [at] tin [dot] it Organization: geo&soft international MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Priority: 3 Message-Id: <19991009185757.RNJC11717.fep04-svc@giorgio> Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Dear Sir, kind Madam, It is really a great pleasure for us to present to you a new, free service for the world of geology, geophysics and geoengineering. As it is often difficult to be informed on all worldwide events in our fields of interest, we decided to run a web site where it is possible to enter, for free, a detailed description of any geological, geophysical, geoengineering etc. meeting or congress. Feel free to visit our meeting page at http://www.geoandsoft.com/meetings and, if you know about other events not contained in our lists, please be so kind to help us to keep the site up to date by adding information or contacting the people responsible. This e-mail has been sent to you because we have found your address in a web page related to the earth sciences. By default we will not send any other message to your e-mail address; if you want to be regularly informed on our activities, please reply by entering the word "update" in the "subject" field; if you don't want to receive any other e-mail from us at all, don't do anything and you will be automatically removed from our data base. Thanking you for your attention, we send you our best regards. Giorgio Scioldo, eng. This is a free service offered by: http://www.geoandsoft.com - software for geoengineering http://www.pasygeophysics.com - geophysical instruments From owner-reliable_computing [at] interval [dot] usl.edu Tue Oct 12 13:53:22 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA00342 for reliable_computing-outgoing; Tue, 12 Oct 1999 13:53:22 -0500 (CDT) Received: from ainur.ee.surrey.ac.uk (root [at] ainur [dot] ee.surrey.ac.uk [131.227.50.25]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with SMTP id NAA00336 for ; Tue, 12 Oct 1999 13:53:16 -0500 (CDT) Received: from cspcd04.mcs.surrey.ac.uk by ainur.ee.surrey.ac.uk with smtp (Smail3.1.29.1-ident) id m11b72a-00030MC; Tue, 12 Oct 99 19:52 BST Received: by cspcd04.mcs.surrey.ac.uk with Microsoft Mail id <01BF14EB.A461DBD0 [at] cspcd04 [dot] mcs.surrey.ac.uk>; Tue, 12 Oct 1999 19:54:49 +0100 Message-ID: <01BF14EB.A461DBD0 [at] cspcd04 [dot] mcs.surrey.ac.uk> From: "i.kuscu" To: "'reliable_computing [at] interval [dot] usl.edu'" Subject: CEC2000 Electronic Submissions Active Date: Wed, 6 Oct 1999 00:40:29 +0100 MIME-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Dear Collegue, Electronic submissions facilities for Congress on Evolutionary Computation (CEC2000) are now on-line and can be accessed on http://pcgipseca.cee.hw.ac.uk/cec2000/submissions.html. The page also gives details on format and hardcopy submissions. (CEC2000) will highlight recent research covering all forms of evolutionary computation while fostering intertechnique discussions and co-operative progress in the evolutionary computation field. CEC2000 is a joint meeting of the IEEE International Conference on Evolutionary Computation (ICEC), the Conference on Evolutionary Programming (EP), and Genetic Algorithms in Engineering Systems: Innovations and Applications (GALESIA). Submissions covering advances in the theory, practice, and application of all evolutionary techniques, either individually or collectively, are enthusiastically encouraged. Deadline for submissions is 1 February 2000. The Congress flyer can be downloaded from http://pcgipseca.cee.hw.ac.uk/cec2000/main.html. CEC2000 accepted papers will be provided in printed volumes as well as CD-ROM. In addition, authors of accepted papers will be invited to submit software presentations/demonstrations to be included in the CD-Rom. Full details of CFP, submissions, call for special sessions and student grants can be found on the CEC2000 web site http://pcgipseca.cee.hw.ac.uk/cec2000. Thank you for supporting CEC. Looking forward to receiving your submission. Ibrahim Kuscu, CEC2000 Publicity Chair ------ Dr. Ibrahim Kuscu Department of Computing SEEITM University of Surrey Guildford, Surrey Tel: +44 1483 879636 GU2 5XH Fax: +44 1483 259385 *** Please visit Congress on Evolutionary Computation: *** http://pcgipseca.cee.hw.ac.uk/cec2000/ From owner-reliable_computing [at] interval [dot] usl.edu Wed Oct 13 07:15:42 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id HAA01912 for reliable_computing-outgoing; Wed, 13 Oct 1999 07:15:42 -0500 (CDT) Received: from myrte.ens.fr (myrte.ens.fr [129.199.99.46]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id HAA01907 for ; Wed, 13 Oct 1999 07:15:38 -0500 (CDT) From: ecoop-dist [at] myrte [dot] ens.fr Received: (from ecoop-dist@localhost) by myrte.ens.fr (8.9.3/8.9.3) id OAA01071 for ecoop-dest@myrte; Wed, 13 Oct 1999 14:13:10 +0200 Date: Wed, 13 Oct 1999 14:13:10 +0200 Message-Id: <199910131213.OAA01071 [at] myrte [dot] ens.fr> To: ecoop-dest [at] myrte [dot] ens.fr Subject: ECOOP 2000: Call for Tutorials Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk [We apologize for multiple copies of this message] ECOOP 2000 14th European Conference on Object-Oriented Programming Sophia Antipolis and Cannes, France, June 12 - 16, 2000 CALL FOR TUTORIAL PROPOSALS =========================== DEADLINES: Proposal submissions November 12, 1999 Notification of acceptance February 5, 2000 Camera-ready notes April 14, 2000 Every year ECOOP hosts a two day tutorial programme. We solicit proposals for high-quality tutorials in all areas of object-orientation from academic research to industrial applications. For information about submission instructions, proposal guidelines, selection process, and honoraria please refer to: http://ecoop2000.unice.fr/Contrib/tutorials.html Isabelle Attali Giuseppe Castagna ECOOP 2000 TUTORIAL CHAIRS From owner-reliable_computing [at] interval [dot] usl.edu Thu Oct 14 06:29:18 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id GAA03009 for reliable_computing-outgoing; Thu, 14 Oct 1999 06:29:18 -0500 (CDT) Received: from helium.dcs.kcl.ac.uk (root [at] helium [dot] dcs.kcl.ac.uk [137.73.8.10]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id GAA03004 for ; Thu, 14 Oct 1999 06:29:05 -0500 (CDT) Received: from pc010.dcs.kcl.ac.uk (pc057.dcs.kcl.ac.uk [137.73.9.57]) by helium.dcs.kcl.ac.uk (8.9.1a/8.9.1) with SMTP id LAA19716; Thu, 14 Oct 1999 11:57:36 +0100 (BST) Message-Id: <3.0.5.32.19991014115538.007ed100 [at] mail [dot] btinternet.com> X-Sender: dov.gabbay [at] mail [dot] btinternet.com X-Mailer: QUALCOMM Windows Eudora Light Version 3.0.5 (32) Date: Thu, 14 Oct 1999 11:55:38 +0100 To: Colibri editors , d.w.miller [at] warwick [dot] ac.uk From: Dov Gabbay Subject: workshop nov 16 you are welcome Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk CALL FOR PARTICIPATION Tuesday 16th November in the Great Hall, King's College, Strand The First Augustus De Morgan Workshop on The Frontiers of Logic 1.00 - 9.30 Registration 9.30-10-30 Johan van Benthem Games: Actions that make Information flow 10.30-11.00 Coffee 11.00-12.00 David Makinson Reasoning with Rules 12.00-13.30 Lunch 13.30-14.30 John Woods Frontiers of Practical Logic 14.30-15.30 Ruth Kempson and Wilfried Meyer-Viol Dynamic Syntax: the Flow of Language Understanding 15.30-16.00 Tea 16.00-17.00 Wilfrid Hodges Truth Definitions, 1900 versus 2000 17.00-18.00 Dov Gabbay, Chair Frontiers of Logic: Discussion and questions. 18.00 Conclusion There is no charge for the Workshop, but participants should register their intention to attend with Jane Spurr, jane [at] dcs [dot] kcl.ac.uk - Our apologies if you receive multiple copies of this message - -- Professor D M Gabbay Augustus De Morgan Professor of Logic Dept of computer Science King's College Strand London WC2R 2LS Telephone + 44 171 848 2930 Fax + 44 171 240 1071 http://www.dcs.kcl.ac.uk/staff/dg/ http://www.kcl.ac.uk/kis/schools/hums/philosophy/staff/dovg.html Latex or postscript files send to Jane Spurr jane [at] dcs [dot] kcl.ac.uk From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 18 11:45:46 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id LAA00480 for reliable_computing-outgoing; Mon, 18 Oct 1999 11:45:46 -0500 (CDT) Received: from cs.utep.edu (galaxy.cs.utep.edu [129.108.5.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id LAA00475 for ; Mon, 18 Oct 1999 11:45:37 -0500 (CDT) Received: from earth.cs.utep.edu (earth.cs.utep.edu [129.108.5.21]) by cs.utep.edu (8.9.3/8.9.3) with SMTP id KAA19121 for ; Mon, 18 Oct 1999 10:45:27 -0600 (MDT) Message-Id: <199910181645.KAA19121 [at] cs [dot] utep.edu> Date: Mon, 18 Oct 1999 10:45:26 -0600 (MDT) From: vladik Reply-To: vladik Subject: from NA Digest To: reliable_computing [at] interval [dot] usl.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: 2hgePye/x0nXMM8ZdSvjfQ== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.4 SunOS 5.7 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk From: Douglas Arnold Date: Tue, 12 Oct 1999 10:43:37 -0400 Subject: Re: Query About Rounding Error I'll take the opportunity of Pete Stewart's query concerning real-life embarrassments due to rounding error to mention that I have a web page, http://www.math.psu.edu/dna/disasters/, on real-life disasters attributable to bad numerics, It reports on the failure of the Patriot Missile battery at Dharan, which is directly attributable to accumulation of round-off errors, and also on the explosion of the Ariane 5, which was caused by an overflow, and the loss of the Sleipner offshore platform, which was due to bad finite element technology. In each case I studied the investigative reports, but just posted a small summary to whet the appetites of my students. I would be interesting to hear of other events that fit this description. I find that these can be great student motivators. Doug Arnold dna [at] psu [dot] edu From owner-reliable_computing [at] interval [dot] usl.edu Wed Oct 20 13:53:34 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA04284 for reliable_computing-outgoing; Wed, 20 Oct 1999 13:53:33 -0500 (CDT) Received: from interval.usl.edu (interval [130.70.43.77]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with SMTP id NAA04279 for ; Wed, 20 Oct 1999 13:53:28 -0500 (CDT) Message-Id: <199910201853.NAA04279 [at] interval [dot] usl.edu> Date: Wed, 20 Oct 1999 13:53:27 -0500 (CDT) From: "Kearfott R. Baker" Reply-To: "Kearfott R. Baker" Subject: Re: Accreditation of Codes To: reliable_computing [at] interval [dot] usl.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: H9/IzOnhoaBMReml594cBg== X-Mailer: dtmail 1.2.1 CDE Version 1.2.1 SunOS 5.6 sun4m sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk ------------- Begin Forwarded Message ------------- Date: Tue, 19 Oct 1999 13:20:51 -0700 (PDT) From: William Walster Subject: Re: Accreditation of Codes To: rbk5287 [at] usl [dot] edu, steve [at] cs [dot] clemson.edu Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu Reply-to: William Walster Steve, The attached is just one example of how intervals have been used in the process of proving various results. If I remember the thread, you had asked a question about this. Regards, Bill P.S. Thanks to John D. Pryce for pointing out this reference. >Date: Mon, 04 Oct 1999 08:48:27 -0400 (EDT) >From: Steve Stevenson >Subject: Re: Accreditation of Codes >To: Kearfott Ralph B >Cc: steve [at] cs [dot] clemson.edu, ivandv [at] mailhost [dot] cs.clemson.edu, reliable_computing [at] interval [dot] usl.edu >MIME-version: 1.0 >Content-transfer-encoding: 7bit > >Kearfott Ralph B writes: > > > Certainly, an error in the program will invalidate an interval algorithm. > > However, interval arithmetic can also be used as a tool to certify > > programs. For example, coworkers and I published a simple relatively > > portable interval arithmetic library about a decade ago. The library had > > a fairly extensive testing procedure, in which enclosures for things such > > as pi were computed. On one installation, the interval result did not > > contain pi as it should. The reason was that the Fortran compiler being > > used, although conformant to the Fortran standard, was not conformant to > > the portion of the IEEE standard dealing with binary to decimal conversions. > > The problem was immediately apparent from the installation process. > > > > > > > Do you know that the algorithm has broken down? Take for example some > > > of the stuff in Lapack. They use a simple algorithm in some cases that > > > might not work, but is really fast. They can tell if the method didn't > > > work and switch to a more careful, but expensive, algorithm. > > > > > When intervals are used, there is more knowledge about whether the algorithm > > has broken down than is typical in floating point algorithms. > >Are there theorems to that effect? This is where the point computation >falls down. But it seems to me that this knowledge of "wrongness" is >only presented when I can say what the point error maximum *should* be. > > > I agree, Lapack is carefully crafted (or at least has some good > > parts) and has more such features than many codes. Nonetheless, > > there is certainty obtainable with interval computations that is > > not obtainable with floating point. I, for one, am not arguing > > that interval computations should replace floating point. My > > contention is mainly that such computations, applied in appropriate > > places in overall codes or applied to certain problems, can provide > > validation of results that is otherwise unobtainable. > >Some mix of the two disciplines. > >This discussion has been really productive, I think. > >steve --Brace_of_Greyhounds_758_000 Content-Type: APPLICATION/postscript; name="BrownMcCormack.ps" Content-Transfer-Encoding: BASE64 Content-Description: BrownMcCormack.ps Content-MD5: 7TnAWvOvVeaPWRnCVuBtBA== JSFQUy1BZG9iZS0yLjANJSVDcmVhdG9yOiBPekRWSVBTDSUlVGl0bGU6IEJy b3duTWNDb3JtYWNrLmR2aQ0lJVBhZ2VzOiA5DSUlUGFnZU9yZGVyOiBBc2Nl bmQNJSVCb3VuZGluZ0JveDogMCAwIDU5NiA4NDINJSVFbmRDb21tZW50cw0l RFZJUFNDb21tYW5kTGluZTogZHZpcHMgLVQgMjEwbW0sMjk3bW0gQnJvd25N Y0Nvcm1hY2suZHZpDSVEVklQU1BhcmFtZXRlcnM6IGRwaT0zMDAsIGNvbW1l bnRzIHJlbW92ZWQNJURWSVBTU291cmNlOiAgVGVYIG91dHB1dCAxOTk5LjEw LjExOjEwMjkNJSVCZWdpblByb2NTZXQ6IHRleC5wcm8NL1RlWERpY3QgMjUw IGRpY3QgZGVmIFRlWERpY3QgYmVnaW4gL057ZGVmfWRlZiAvQntiaW5kIGRl 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Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 981-9744 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] usl.edu Thu Oct 21 01:07:41 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id BAA05076 for reliable_computing-outgoing; Thu, 21 Oct 1999 01:07:41 -0500 (CDT) Received: from into.nit.spb.su (ip1.nit.spb.su [194.190.74.1]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id BAA05071 for ; Thu, 21 Oct 1999 01:07:24 -0500 (CDT) Received: from slava.UUCP (uucp@localhost) by into.nit.spb.su (8.8.7/8.8.7) with UUCP id KAA05821 for reliable_computing [at] interval [dot] usl.edu; Thu, 21 Oct 1999 10:11:02 +0400 (MSD) (envelope-from slava.nit.spb.su!nest [at] slava [dot] nit.spb.su) Received: by slava.nit.spb.su (dMail for DOS v1.23, 15Jun94); Thu, 21 Oct 1999 10:00:16 +0300 To: reliable_computing [at] interval [dot] usl.edu Message-Id: Organization: Slava Nesterov Date: Thu, 21 Oct 1999 10:00:16 +0300 (MSK) Reply-To: nest [at] into [dot] nit.spb.su From: "Slava Nesterov" X-Mailer: dMail [Demos Mail for DOS v1.23] Subject: Reliable Computing, issue 1, 2000 Lines: 42 Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Reliable Computing Volume 6, Issue 1, 2000 Special issue on Reliable Geometric Computations Guest editors: Helmut Ratschek, Jon G. Rokne Introduction to the Special Issue: What Can One Learn from Box-Plane Intersections? Helmut Ratschek, Jon G. Rokne 1-8 Robust and Efficient Ray Intersection of Implicit Surfaces Ole Caprani, Lars Hvidegaard, Mikkel Mortensen, Thomas Schneider 9-21 Correct Delaunay Triangulation in the Presence of Inexact Inputs and Arithmetic Jeffrey S. Ely, Anthony P. Leclerc 23-38 Exact Computation of Delaunay and Power Triangulations Marina Gavrilova, Helmut Ratschek, Jon G. Rokne 39-60 Removing Degeneracies by Perturbing the Problem or Perturbing the World Pierre Alliez, Olivier Devillers, Jack Snoeyink 61-79 Interval Constraint Plotting for Interactive Visual Exploration of Implicitly Defined Relations Timothy J. Hickey, Zhe Qiu, Maarten H. van Emden 81-92 --------------------------- Reminiscences "Back in the Good Old Days..." column edited by George F. Corliss Interval Integration L. B. Rall 93-94  From owner-reliable_computing [at] interval [dot] usl.edu Thu Oct 21 05:17:19 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id FAA06045 for reliable_computing-outgoing; Thu, 21 Oct 1999 05:17:19 -0500 (CDT) Received: from finch-post-10.mail.demon.net (finch-post-10.mail.demon.net [194.217.242.38]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id FAA06040 for ; Thu, 21 Oct 1999 05:17:14 -0500 (CDT) From: info [at] pap [dot] com Received: from alliroth.demon.co.uk ([158.152.161.78]) by finch-post-10.mail.demon.net with smtp (Exim 2.12 #1) id 11eFHN-000OLo-0A for reliable_computing [at] interval [dot] usl.edu; Thu, 21 Oct 1999 10:17:05 +0000 X-Sender: alliroth [at] pop3 [dot] demon.co.uk Message-Id: Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Thu, 21 Oct 1999 11:19:13 +0100 To: reliable_computing [at] interval [dot] usl.edu Subject: PACLP 2000 CFP Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk PACLP 2000 CALL FOR PAPERS AND PARTICIPATION ======================================================================== THE SECOND INTERNATIONAL CONFERENCE AND EXHIBITION ON THE PRACTICAL APPLICATION OF CONSTRAINT TECHNOLOGIES AND LOGIC PROGRAMMING (http://www.practical-applications.co.uk/Expo2000/) ============================================================= Monday 10th - Wednesday 12th April 2000 Crowne Plaza Midland Hotel, Manchester, UK ***VERY IMPORTANT DATES*** Submission Deadline: December 6th, 1999 Report Deadline: December 16th, 1999 Notification/Comments: January 10th, 2000 Final Papers due: February 21st, 2000 Building on the success of PACLP99, held in London, UK, PACLP 2000 will showcase innovative business solutions that Constraint technologies and Logic Programming can provide in key industrial and commercial areas such as Planning, Scheduling, Transportation, Distribution, The Intelligent Internet and Expert Systems. Of particular interest are papers that describe the general use of Constraint technologies and Logic Programming, rather than the traditional close up description of one application. For instance, this could be a survey on the specific usage of a technology in a business area or demographic part of the world. Also included are streams to demonstrate and expand the practicality and effectiveness of recent lines of research such as integration of multiple solvers, generic problem modelling and tackling of ill-defined real-world constraint problems. The integration of solvers from different paradigms, such as constraint programming, mathematical programming, Operational Research techniques and stochastic techniques (Tabu Search, Genetic Algorithms, Simulated Annealing) is emerging as a practical means to tackle large scale combinatorial optimization problems effectively. Also most real-world problems are ill-defined in nature. Their solving is not just about computing an optimal solution but building an incremental and interactive decision support tool that identifies and resolves the ill-defined components. Practical and effective solutions that illustrate the hybridization of techniques, the modelling and handling of uncertainty in real-world constraint problems are most welcome. Suggested topics include: Survey with respect to an application area Evaluation and comparison of approaches Solutions using multiple solving techniques Hybrid solver configurations Modelling and solving of ill-defined applications SUBMISSION POLICY =============== Submissions need to meet the conference objectives and achieve a balance between application and theory. With this in mind we have produced guidelines to help you achieve this. Please visit our site for further information. Papers: http://www.practical-applications.co.uk/PAExpo/guidelines.html Reports: http://www.practical-applications.co.uk/PAExpo/report.html You should send FIVE copies of your paper, in English, to the conference organisers at the address below. Formatting guidelines and a word RTF template can be found at http://www.practical-applications.co.uk/PAExpo/template.html Please also submit an electronic version of your paper as a PDF file or Word document. The email address for this is: PACLP [at] pap [dot] com Please include a cover page including: 1.Full Contact Details 2.A Short Abstract **Important Note** Please use the following address when sending your papers to us. PACLP2000 54 Knowle Avenue Blackpool Lancs FY2 9UD UK CALL FOR EXHIBITORS ================== Exhibitors will have the opportunity to showcase fielded applications and development tools to an international audience of delegates, comprising Software Developers and System Designers, KBS and Expert System Developers, IT Managers and Directors, Knowledge Practioners, Project and Business Managers, Applied Researchers and Consultants, Technical Advisors and Innovators, Heads of Departments/Proffesors. If you would like to exhibit at the conference, please contact us for further information. ORGANISATION ============= The Conference and Exhibition are organised by The Practical Application Company Ltd. Contact Details Allison Roth / Anne Marie Purcell Telephone 44 (0) 1253 358081 Fax 44 (0) 1253 353811 E-mail practical-applications [at] pap [dot] com ----------------------------------------------------- To register interest please take the time to fill in this quick reply form and send it to PACLP [at] pap [dot] com Name: Position: Organisation: Address: Postcode: Country: Telephone: Fax: E-mail: Web: [ ] I may submit a paper to PACLP 2000 (Give provisional title if possible) [ ] I may submit an Industrial Report to PACLP 2000 (Give provisional title if possible) [ ] I may attend PACLP 2000 as a delegate [ ] My company may wish to sponsor or exhibit at the event. Please contact me with further details. [ ] I have no interest in Constrain Technologies and Logic Programming, but please keep me informed of other events at the Practical Application Expo [ ] I have no interest in this. Please remove me from the mailing list From owner-reliable_computing [at] interval [dot] usl.edu Thu Oct 21 07:38:02 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id HAA06287 for reliable_computing-outgoing; Thu, 21 Oct 1999 07:38:01 -0500 (CDT) Received: from artemis.le.ac.uk (artemis.le.ac.uk [143.210.16.126]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id HAA06282 for ; Thu, 21 Oct 1999 07:37:22 -0500 (CDT) Received: from ithaca.mcs.le.ac.uk ([143.210.72.11]) by artemis.le.ac.uk with esmtp (Exim 3.02 #1) id 11eHSD-0006r9-00; Thu, 21 Oct 1999 13:36:25 +0100 Received: from pc34.mcs.le.ac.uk (pc34 [143.210.72.66]) by ithaca.mcs.le.ac.uk (8.9.3+Sun/8.9.3) with ESMTP id NAA20930; Thu, 21 Oct 1999 13:35:34 +0100 (BST) Received: by mcs.le.ac.uk via sendmail from stdin id (Debian Smail3.2.0.101) for compass-wg [at] bettina [dot] informatik.uni-Bremen.de; Thu, 21 Oct 1999 13:35:34 +0100 (BST) Message-Id: Date: Thu, 21 Oct 1999 13:35:34 +0100 (BST) From: "Roy L. Crole" To: group-pub-forum [at] maths [dot] bath.ac.uk, facs-mem [at] lboro [dot] ac.uk, lics-request [at] research [dot] bell-labs.com, info-hol [at] jaguar [dot] cs.byu.edu, isabelle-users [at] cl [dot] cam.ac.uk, haskell [at] haskell [dot] org, fsdm [at] it [dot] uq.edu.au, softverf [at] jaguar [dot] cs.byu.edu, formal-methods [at] cs [dot] uidaho.edu, relmics-list [at] heraklit [dot] Informatik.UniBW-Muenchen.de, lics-request [at] research [dot] belllabs.com, dataloger [at] cs [dot] chalmers.se, afp [at] cs [dot] chalmers.se, logic [at] cs [dot] cornell.edu, logic [at] theory [dot] lcs.mit.edu, concurrency [at] cwi [dot] nl, skeletons [at] dcs [dot] ed.ac.uk, mop [at] cs [dot] ruu.nl, info-hol [at] jaguar [dot] cs.byu.edu, theorem-provers [at] mc [dot] lcs.mit.edu, clics [at] doc [dot] ic.ac.uk, qed [at] mcs [dot] anl.gov, ccl [at] dfki [dot] uni-sb.de, csp-list [at] cert [dot] fr, compass-wg [at] bettina [dot] informatik.uni-Bremen.de, tapsoft [at] dcs [dot] ed.ac.uk, prog-lang [at] diku [dot] dk, theorynt [at] listserv [dot] nodak.edu, flprog [at] informatik [dot] uni-muenchen.de, reliable_computing [at] interval [dot] usl.edu, PetriNets [at] daimi [dot] aau.dk Subject: SUMMER SCHOOL ON MATHEMATICS OF PROGRAM CONSTRUCTION Mime-Version: 1.0 (generated by tm-edit 7.106) Content-Type: text/plain; charset=US-ASCII Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Dear Colleagues, I would be grateful if you could forward the Summer School details given below as appropriate. Thanks for your help, Roy Crole =================================================================== FIRST ANNOUNCEMENT =================================================================== SUMMER SCHOOL AND WORKSHOP ON ******************************************* * ALGEBRAIC AND CO-ALGEBRAIC METHODS IN * * THE MATHEMATICS OF PROGRAM CONSTRUCTION * ******************************************* Lincoln College, Oxford, UK, 10th to 14th April 2000 This school specifically aims to equip mathematicians embarking on a PhD degree with the knowledge and expertise to contribute to current research in computing science. It is also of interest to other PhD students and lecturers with an active interest in the mathematics of program construction. The school will consist of the following intensive courses together with a one-day workshop at which participants will be given the opportunity to present their own research. LECTURERS Peter Aczel (University of Manchester): Initial Algebras and Final Coalgebras: The Categorical Perspective Roland Backhouse (University of Nottingham): Fixpoint Calculus and Galois Connections Richard Bird (Oxford University): The Algebra of Programming Jeremy Gibbons (Oxford University): Calculational Properties of Folds and Unfolds Bart Jacobs (Nijmegen Catholic University): Coalgebras and Coinduction Burghard von Karger (University of Kiel): Temporal Algebra Hilary Priestley (Oxford University): Lattices and Order DEADLINES For financial support: 31st January 2000 For registration: 11th February 2000 ORGANIZERS Roland Backhouse (University of Nottingham) Roy Crole (University of Leicester) Jeremy Gibbons (Oxford University) Preliminary information can be found at the School home page http://www.comlab.ox.ac.uk/oucl/research/areas/ap/acmmpc/ REGISTRATION To register, complete the form below, and deliver it by one of the following methods: * By email, to acmmpc-reg [at] comlab [dot] ox.ac.uk * By fax, to +44 1865 273839 (mark "for the attention of Jeremy Gibbons") * By post, to ACMMPC, c/o Jeremy Gibbons, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK. If you have any further questions, please email acmmpc-info [at] comlab [dot] ox.ac.uk, or contact the organizers by fax or post. Please note that places on the School are limited, and early registration is advisable. ------------- cut here -------------------------------------------- ******************************************* * ALGEBRAIC AND CO-ALGEBRAIC METHODS IN * * THE MATHEMATICS OF PROGRAM CONSTRUCTION * * REGISTRATION FORM * ******************************************* Lincoln College, Oxford, UK, 10th to 14th April 2000 FIRST NAME ..... LAST NAME(S) ..... ADDRESS ..... EMAIL ..... TELEPHONE ..... STATUS (please select: edit email or tick hard-copy) * EPSRC PhD student ..... * Other PhD student ..... * non PhD student ..... ROOM (please select: edit email or tick hard-copy) * single ensuite room, full board: 80.41 ..... * single standard room, full board: 75.18 ..... * shared twin standard room, full board: 72.87 ..... * single standard room, half board: 53.57 ..... * single standard room, bed-and-breakfast only: 39.82 ..... * special dietary requirements ..... (Y/N) (please specify) All prices are per night, and are subject to VAT. "Half board" includes bed, breakfast and evening meal; "full board" also includes morning coffee, lunch, and afternoon tea. EDUCATIONAL BACKGROUND (please provide a short description of your mathematical and computing background; a few sentences will do) ADDITIONAL INFORMATION (please give details of any other information you wish to supply) From owner-reliable_computing [at] interval [dot] usl.edu Thu Oct 21 18:36:27 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id SAA00341 for reliable_computing-outgoing; Thu, 21 Oct 1999 18:36:27 -0500 (CDT) Received: from csc-sun.math.utah.edu (root@csc-sun.math.utah.edu [128.110.198.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id SAA00336 for ; Thu, 21 Oct 1999 18:36:23 -0500 (CDT) Received: from suncore.math.utah.edu (suncore0.math.utah.edu [128.110.198.5]) by csc-sun.math.utah.edu (8.9.3/8.9.3) with ESMTP id QAA13062; Thu, 21 Oct 1999 16:31:20 -0600 (MDT) Received: (from beebe@localhost) by suncore.math.utah.edu (8.9.3/8.9.3) id QAA00644; Thu, 21 Oct 1999 16:31:19 -0600 (MDT) Date: Thu, 21 Oct 1999 16:31:19 -0600 (MDT) From: "Nelson H. F. Beebe" To: reliable_computing [at] interval [dot] usl.edu Cc: beebe [at] math [dot] utah.edu X-US-Mail: "Center for Scientific Computing, Department of Mathematics, 322 INSCC, University of Utah, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA" X-Telephone: +1 801 581 5254 X-FAX: +1 801 585 1640, +1 801 581 4148 X-URL: http://www.math.utah.edu/~beebe Subject: New paper on interval arithmetic Message-ID: Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk This new paper on an unusual application of interval arithmetic, and recorded in the TOMS bibliography at http://www.math.utah.edu/pub/tex/bib/idx/toms/index.html http://www.math.utah.edu/pub/tex/bib/index-table-t.html#toms http://www.math.utah.edu/pub/tex/bib/toc/toms.html may be of interest to some of you: @String{j-TOMS = "ACM Transactions on Mathematical Software"} @Article{Flores:1999:CFR, author = "Juan Flores", title = "Complex Fans: {A} Representation for Vectors in Polar Form with Interval Attributes", journal = j-TOMS, volume = "25", number = "2", pages = "129--156", month = jun, year = "1999", CODEN = "ACMSCU", ISSN = "0098-3500", bibdate = "Wed Oct 20 18:21:35 MDT 1999", bibsource = "http://www.acm.org/pubs/toc/", URL = "http://www.acm.org/pubs/citations/journals/toms/1999-25-2/p129-flores/; http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Flores:1999:CFR", abstract = "If we allow the magnitude and angle of a complex number (expressed in polar form) to range over an interval, it describes a semicircular region, similar to a fan; these regions are what we call complex fans. Complex numbers are a special case of complex fans, where the magnitude and angle are point intervals. Operations (especially addition) with complex numbers in polar form are complicated. What most applications do is to convert them to rectangular form, perform operations, and return the result to polar form. However, if the complex number is a Complex Fan, that transformation increases ambiguity in the result. That is, the resulting Fan is not the smallest Fan that contains all possible results. The need for minimal results took us to develop algorithms to perform the basic arithmetic operations with complex fans, ensuring the result will always be the smallest possible complex fan. We have developed the arithmetic operations of addition, negation, subtraction, product, and division of complex fans. The algorithms presented in this article are written in pseudocode, and the programs in Common Lisp, making use of CLOS (Common Lisp Object System). Translation to any other high-level programming language should be straightforward.", acknowledgement = ack-nhfb, keywords = "abstract data type; complex fans; complex numbers; interval computation; qualitative reasoning", subject = "Mathematics of Computing - Mathematical Software ({\bf G.4}): Algorithm design and analysis; Computing Methodologies -Artificial Intelligence - Knowledge Representation Formalisms and Methods ({\bf I.2}); Computer Applications - Physical Sciences and Engineering ({\bf J.2}): Engineering", } ------------------------------------------------------------------------------- - Nelson H. F. Beebe Tel: +1 801 581 5254 - - Center for Scientific Computing FAX: +1 801 585 1640, +1 801 581 4148 - - University of Utah Internet e-mail: beebe [at] math [dot] utah.edu - - Department of Mathematics, 322 INSCC beebe [at] acm [dot] org - - 155 S 1400 E RM 233 beebe [at] ieee [dot] org - - Salt Lake City, UT 84112-0090, USA URL: http://www.math.utah.edu/~beebe - ------------------------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 22 00:55:26 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id AAA00910 for reliable_computing-outgoing; Fri, 22 Oct 1999 00:55:25 -0500 (CDT) Received: from homer.mat.univie.ac.at (homer.mat.univie.ac.at [131.130.29.70]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id AAA00905 for ; Fri, 22 Oct 1999 00:55:21 -0500 (CDT) Received: (from neum@localhost) by homer.mat.univie.ac.at (8.9.3/8.9.3) id HAA06689; Fri, 22 Oct 1999 07:55:16 +0200 (MET DST) Date: Fri, 22 Oct 1999 07:55:16 +0200 (MET DST) From: Arnold Neumaier Message-Id: <199910220555.HAA06689 [at] homer [dot] mat.univie.ac.at> To: beebe [at] math [dot] utah.edu, reliable_computing [at] interval [dot] usl.edu Subject: Re: New paper on interval arithmetic Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Klatte, R. Ullrich, Ch. Complex sector arithmetic Computing 24, 139-148 (1980) contains already the arithmetic proposed by Juan Flores. See also: Nickel, K. Arithmetic of complex sets Computing 24, 97-105 (1980) Arnold Neumaier From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 22 03:24:30 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id DAA01347 for reliable_computing-outgoing; Fri, 22 Oct 1999 03:24:30 -0500 (CDT) Received: from automatix.informatik.uni-wuerzburg.de (root [at] wi2x40 [dot] informatik.uni-wuerzburg.de [132.187.10.40]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id DAA01342 for ; Fri, 22 Oct 1999 03:24:26 -0500 (CDT) Received: from informatik.uni-wuerzburg.de (wolff@[132.187.10.53]) by automatix.informatik.uni-wuerzburg.de (8.8.8/8.8.8) with ESMTP id KAA12507; Fri, 22 Oct 1999 10:24:19 +0200 Message-ID: <38101F33.2F428077 [at] informatik [dot] uni-wuerzburg.de> Date: Fri, 22 Oct 1999 10:24:19 +0200 From: "J.Wolff v. Gudenberg" X-Mailer: Mozilla 4.61 [en] (X11; I; Linux 2.2.12 i686) X-Accept-Language: en MIME-Version: 1.0 To: Arnold Neumaier CC: beebe [at] math [dot] utah.edu, reliable_computing [at] interval [dot] usl.edu Subject: Re: New paper on interval arithmetic References: <199910220555.HAA06689 [at] homer [dot] mat.univie.ac.at> Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Arnold Neumaier wrote: > > Klatte, R. > Ullrich, Ch. > Complex sector arithmetic > Computing 24, 139-148 (1980) > > contains already the arithmetic proposed by Juan Flores. Not completely. The TOMS paperdescribes an optimal enclosure for addition of sectors. J. W.v.G. > See also: > > Nickel, K. > Arithmetic of complex sets > Computing 24, 97-105 (1980) > > Arnold Neumaier -- __o \<, ___________________()/ ()__________________ Prof. Dr. J. Wolff v. Gudenberg Lehrstuhl fuer Informatik II wolff [at] informatik [dot] uni-wuerzburg.de Universitaet Wuerzburg Tel. 0931 / 888-6602 Am Hubland Fax. 0931 / 888-6603 D-97074 Wuerzburg URL http://www-info2.informatik.uni-wuerzburg.de/staff/wvg --------------------------------------------- From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 22 05:04:11 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id FAA02395 for reliable_computing-outgoing; Fri, 22 Oct 1999 05:04:11 -0500 (CDT) Received: from relay.unican.es (relay.unican.es [130.206.5.45]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with SMTP id FAA02390 for ; Fri, 22 Oct 1999 05:03:22 -0500 (CDT) Received: from hall.matesco.unican.es by relay.unican.es with SMTP (1.37.109.4/16.2) id AA20909; Fri, 22 Oct 99 12:11:41 +0100 Received: from [193.144.183.3] by matesco.unican.es (SMI-8.6/SMI-SVR4) id LAA18080; Fri, 22 Oct 1999 11:59:22 +0100 Mime-Version: 1.0 X-Sender: gvega [at] hall [dot] matesco.unican.es Message-Id: Date: Fri, 22 Oct 1999 11:57:45 +0200 To: reliable_computing [at] interval [dot] usl.edu, communaute [at] medicis [dot] polytechnique.fr From: "RAJENDRA AKERKAR" (by way of Laureano Gonzalez-Vega) Subject: ISACA'2000 First call for papers Content-Type: text/plain; charset="iso-8859-1" ; format="flowed" Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by interval.usl.edu id FAA02391 Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk ISACA’2000 International Symposium on Applications of Computer Algebra Goa, October 3 - 5, 2000 First Announcement (Call for Papers) The conference is endorsed as one of the 2000 activities of the Technomathematics Research Foundation, Kolhapur (TMRF), India. The conference will be held in Goa, India. Main Topics Algebraic methods relevant to all domains concerned with computer, intelligent systems and communications. The scope includes, but not limited to robotics, VLSI technology, signal processing, coding, term specification, theorem proving, symbolic software, algorithmic information theory, knowledge engineering, logic, functional languages, and artificial intelligence methodologies. International Scientific Committee Rajendra Akerkar (India), Jacques Calmet (Germany), Gregory Chaitin (USA), Victor Edneral (Moscow), Mark Encarnacion (Phillippines), Keith Geddes (Waterloo), Vladimir Gerdt (Russia), Laureano Gonzalez-Vega(Spain), Erich Kaltofen (USA), Deepak Kapur (USA), Werner Krandick (Germany), Richard Liska (Prague), Eugenio Roanes-Lozano (Spain), B.Pletsch (USA), Tom Sederberg (USA), Stanly Steinberg (USA), Michael Wester (USA), Paul Wellin (USA), Horst Zimmer (Germany). Invited Speakers Jacques Calmet [Karlsruhe, Germany] 1. Integration of Deduction and Computation. 2. On the Specification of Computer Alebra Systems. Keith Geddes [Waterloo, Canada] 1. Algorithms for Indefinite and Definite Integration in Maple. 2. Hybrid Symbolic-Numeric Methods Applied to Definite Integrals and ODEs. Gregory Chaitin [IBM, USA] 1. Using Mathematica to exhibit randomness in arithmetic. 2. How to run algorithmic information theory on the computer. Time and Location The symposium will take place from 3 to 5 October 2000 in a luxury 5 star hotel in Goa. Details about accommodation and hotel rates will be mailed in January 2000. Call for Papers Participants wishing to present a paper on their most recent research results should send the complete paper of their talk to R. A. Akerkar, Convener, ISACA’2000. Full, camera ready quality papers (TEN A4 pages maximum, title and abstract included) must be received by regular mail before 30th May 2000. Only hard copies will be accepted. The ISACA’2000 proceedings will be published at the time of symposium. Every scientist who wish to present and submit papers for the proceedings are encouraged to send their registration fee alongwith paper before 3oth May 2000. ISACA’2000 REGISTRATION FORM PLEASE PRINT: Name (Last/Family, First, M.I):_______________________________________________ Name on Badge: ___________________________________________________ Affiliation: ____________________________________________________ Address:_______________________________________________ City/State/Zip/Country: ____________________________________________________ Phone (day time): ______________ Fax:_______________ IEEE/ACM/SIAM/TMRF Membership Number:_____________ E-Mail:_____________ Dietary needs: _________ Vegetarian _________ Spicy PLEASE CIRCLE APPROPRIATE FEES: Conference Registration Fees*: [Deadline for registration 15th July 2000] Foreign Institutions Indian Institutions Participant US $ 350 Rs. 4000 Full-time Student US $ 250 Rs. 2500 The registration fee includes a copy of the proceedings, lunches, and refreshments on October 3, 4, and 5 and conference Banquet. Conference registration fee does not include participation in the tutorials, if any. Extra fee of US$ 200/ Rs. 2000 will be charged for accompanying person. Conference Registration Fee: ______________ + Accompanying Person Fee: ___________ Total Fee: ______________________________ Issuing Bank/Institution: ______________ Cheque/Draft Number: ______________ Date & Place:__________________ Signature:___________________ Please send registration form via regular-mail. Payment must be enclosed. Please make cheques payable to TMRF, Kolhapur, India. All cheques/DDs MUST be either in U.S. Dollars drawn on a U.S. Bank or in Indian Rs. drawn on an Indian bank at Kolhapur. Sorry, we are unable to accept credit cards for payment of registration fees. Participants currently residing in India may pay in Indian Rs., all others (including NRIs) must pay in U.S. Dollars. Written requests for refunds must be received no later than July 30, 2000. Refunds are subject to a US $50 (Rs. 2150) processing fee. All no-show registrants will be charged in full. Important Dates Deadline for Paper Submission : 30th May 2000 Deadline for Registration & Notification of Paper Acceptance : 15th July 2000 Camera-ready Copy due : 30th July 2000. Please mail to: ISACA’2000 Secretariat, C/O TMRF, 204/17 KH, New Shahupuri, Kolhapur 416001, India. Email: tmrf [at] pn3 [dot] vsnl.net.in, rakerkar [at] hotmail [dot] com Phone: 0091-231-654522. *Few Scholarships to a) full time students, b) TMRF Activity Group Members and c) researchers at Indian institutions will be available soon. These scholarships are not available to participants from non-Indian institutions. Visa and Passports: All participants who are not citizens of India must obtain a valid visa from Indian Consulates or High Commissions. The procedure may take some time, check with your travel consultant in advance. Currency: The currency is the Indian Rupee. The conversion rate at the time of this publication is 1 US $ to Rs. 43.35 (approx). Credit cards are accepted in most luxury hotels. The Reserve Bank of India may have certain restrictions on converting Rupees to other currencies. For details, check with an Indian Consulate or your travel consultant. Time and Weather: The Indian Standard Time(IST) is 5 1/2 hours ahead of the Greenwich Mean Time(GMT) and is 13 1/2 hours ahead of the U. S. Pacific Standard Time(PST). Travel: Most international carriers fly to India. Many of them fly into Goa via Mumbai. Indian Airlines and several private airlines connect Goa with major cities on a daily basis. It is advisable to make reservations early as travel is heavy during the months of October. The meeting does not endorse any travel agency. Accommodation: Accommodation will be available in two different categories [ 5 star Luxury & Delux ] and information regarding this will be mailed to interested participants soon. ------End of File---------------------- ______________________________________________________ Get Your Private, Free Email at http://www.hotmail.com From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 22 06:14:14 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id GAA02780 for reliable_computing-outgoing; Fri, 22 Oct 1999 06:14:14 -0500 (CDT) Received: from rztsun.rz.tu-harburg.de (rztsun.rz.tu-harburg.de [134.28.200.14]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id GAA02775 for ; Fri, 22 Oct 1999 06:14:06 -0500 (CDT) Received: from zeta.ti3.tu-harburg.de (zeta.ti3.tu-harburg.de [134.28.20.70]) by rztsun.rz.tu-harburg.de (8.9.0/8.8.8) with ESMTP id NAA18458; Fri, 22 Oct 1999 13:14:03 +0200 (MET DST) Received: from armada.math.ti3.tu-harburg.de (armada [134.28.20.121]) by zeta.ti3.tu-harburg.de (AIX4.2/UCB 8.7/8.7) with SMTP id NAA14864; Fri, 22 Oct 1999 13:15:27 +0200 (DFT) Received: by armada.math.ti3.tu-harburg.de with Microsoft Mail id <01BF1C8E.603CE300 [at] armada [dot] math.ti3.tu-harburg.de>; Fri, 22 Oct 1999 13:07:21 +-200 Message-ID: <01BF1C8E.603CE300 [at] armada [dot] math.ti3.tu-harburg.de> From: "Siegfried M. Rump" To: "'Nelson H. F. Beebe'" Cc: "'reliable_computing'" Subject: AW: New paper on interval arithmetic Date: Fri, 22 Oct 1999 13:07:20 +-200 MIME-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk There is a "Kreisring-Sektor-Arithmetik", which is an arithmetic between sectors of a fan. It has been developed in Karlsruhe some years ago. I am not exactly sure about the authors, I think it was Ullrich and may be others. One of my Ph.D. students, P. Batra, developed recently a in some way similar, but alternative arithmetic for complex sets. Best Siegfried M. Rump This new paper on an unusual application of interval arithmetic, and recorded in the TOMS bibliography at http://www.math.utah.edu/pub/tex/bib/idx/toms/index.html http://www.math.utah.edu/pub/tex/bib/index-table-t.html#toms http://www.math.utah.edu/pub/tex/bib/toc/toms.html may be of interest to some of you: @String{j-TOMS = "ACM Transactions on Mathematical Software"} @Article{Flores:1999:CFR, author = "Juan Flores", title = "Complex Fans: {A} Representation for Vectors in Polar Form with Interval Attributes", journal = j-TOMS, volume = "25", number = "2", pages = "129--156", month = jun, year = "1999", CODEN = "ACMSCU", ISSN = "0098-3500", bibdate = "Wed Oct 20 18:21:35 MDT 1999", bibsource = "http://www.acm.org/pubs/toc/", URL = "http://www.acm.org/pubs/citations/journals/toms/1999-25-2/p129-flores/; http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Flores:1999:CFR", abstract = "If we allow the magnitude and angle of a complex number (expressed in polar form) to range over an interval, it describes a semicircular region, similar to a fan; these regions are what we call complex fans. Complex numbers are a special case of complex fans, where the magnitude and angle are point intervals. Operations (especially addition) with complex numbers in polar form are complicated. What most applications do is to convert them to rectangular form, perform operations, and return the result to polar form. However, if the complex number is a Complex Fan, that transformation increases ambiguity in the result. That is, the resulting Fan is not the smallest Fan that contains all possible results. The need for minimal results took us to develop algorithms to perform the basic arithmetic operations with complex fans, ensuring the result will always be the smallest possible complex fan. We have developed the arithmetic operations of addition, negation, subtraction, product, and division of complex fans. The algorithms presented in this article are written in pseudocode, and the programs in Common Lisp, making use of CLOS (Common Lisp Object System). Translation to any other high-level programming language should be straightforward.", acknowledgement = ack-nhfb, keywords = "abstract data type; complex fans; complex numbers; interval computation; qualitative reasoning", subject = "Mathematics of Computing - Mathematical Software ({\bf G.4}): Algorithm design and analysis; Computing Methodologies -Artificial Intelligence - Knowledge Representation Formalisms and Methods ({\bf I.2}); Computer Applications - Physical Sciences and Engineering ({\bf J.2}): Engineering", } ------------------------------------------------------------------------------- - Nelson H. F. Beebe Tel: +1 801 581 5254 - - Center for Scientific Computing FAX: +1 801 585 1640, +1 801 581 4148 - - University of Utah Internet e-mail: beebe [at] math [dot] utah.edu - - Department of Mathematics, 322 INSCC beebe [at] acm [dot] org - - 155 S 1400 E RM 233 beebe [at] ieee [dot] org - - Salt Lake City, UT 84112-0090, USA URL: http://www.math.utah.edu/~beebe - ------------------------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 22 09:20:51 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id JAA03296 for reliable_computing-outgoing; Fri, 22 Oct 1999 09:20:51 -0500 (CDT) Received: from csc-sun.math.utah.edu (root@csc-sun.math.utah.edu [128.110.198.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id JAA03291 for ; Fri, 22 Oct 1999 09:20:47 -0500 (CDT) Received: from suncore.math.utah.edu (suncore0.math.utah.edu [128.110.198.5]) by csc-sun.math.utah.edu (8.9.3/8.9.3) with ESMTP id IAA04034; Fri, 22 Oct 1999 08:20:28 -0600 (MDT) Received: (from beebe@localhost) by suncore.math.utah.edu (8.9.3/8.9.3) id IAA09242; Fri, 22 Oct 1999 08:20:27 -0600 (MDT) Date: Fri, 22 Oct 1999 08:20:27 -0600 (MDT) From: "Nelson H. F. Beebe" To: reliable_computing [at] interval [dot] usl.edu Cc: beebe [at] math [dot] utah.edu X-US-Mail: "Center for Scientific Computing, Department of Mathematics, 322 INSCC, University of Utah, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA" X-Telephone: +1 801 581 5254 X-FAX: +1 801 585 1640, +1 801 581 4148 X-URL: http://www.math.utah.edu/~beebe Subject: Followup on recent TOMS paper on interval arithmetic Message-ID: Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Thanks to the respondents who pointed out earlier work related to the new TOMS paper on interval arithmetic that I posted a BibTeX entry for yesterday. The bibliography of that paper does include references to the Klatte/Ullrich 1980 paper, but not the Nickel 1980 paper. It may be useful to some of you to know that I released earlier this week an extensive bibliography of the Springer-Verlag journal Computing, and the companion conference proceedings series Computing Supplementum. Journal publication began in 1966, and the journal currently appears eight times yearly in two four-issue volumes. The bibliography is complete from 1978 to date for the journal, and is complete for all 13 volumes of the Supplementum. A page gap analysis and average article size for the journal suggests that about 135 articles remain to be found for the years 1966--1977. My local academic library has no volumes of Computing before 1979, and I've exhausted all of the databases available to me, so until further sources become available, I'm unable to fill in the holes. The reason that this journal should be of interest to the reliable_computing list's readership is its publication of a substantial number of papers on interval arithmetic. I find 133 articles with "interval" in the title, 14 with the word "range", and 57 titles with the pattern "arithm". At least 5 of the Supplementum proceedings volumes are from conferences concentrating on interval arithmetic. For further details, visit ftp://ftp.math.utah.edu/pub/tex/bib/computing.bib ftp://ftp.math.utah.edu/pub/tex/bib/toc/computing.html http://www.math.utah.edu/pub/tex/bib/index-table-c.html#computing http://www.math.utah.edu/pub/tex/bib/idx/computing/index.html http://www.math.utah.edu/pub/tex/bib/toc/computing.html The latter two URLs point to an extensive cross-referenced index, and a brief table-of-contents. While there are some blemishes in these that will be repaired when I can find time to do so, they are already quite useful. ------------------------------------------------------------------------------- - Nelson H. F. Beebe Tel: +1 801 581 5254 - - Center for Scientific Computing FAX: +1 801 585 1640, +1 801 581 4148 - - University of Utah Internet e-mail: beebe [at] math [dot] utah.edu - - Department of Mathematics, 322 INSCC beebe [at] acm [dot] org - - 155 S 1400 E RM 233 beebe [at] ieee [dot] org - - Salt Lake City, UT 84112-0090, USA URL: http://www.math.utah.edu/~beebe - ------------------------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 22 09:40:04 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id JAA03601 for reliable_computing-outgoing; Fri, 22 Oct 1999 09:40:04 -0500 (CDT) Received: from skiff.cs.vu.nl (root [at] skiff [dot] cs.vu.nl [192.31.231.56]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id JAA03595 for ; Fri, 22 Oct 1999 09:40:00 -0500 (CDT) Received: by skiff.cs.vu.nl (Smail #62) id m11efqM-000TgXC; Fri, 22 Oct 99 16:38 +0200 Message-Id: From: femke [at] cs [dot] vu.nl (Raamsdonk van F) Subject: CL2000: 2nd call for papers To: reliable_computing [at] interval [dot] usl.edu Date: Fri, 22 Oct 1999 16:38:58 +0200 (MET DST) X-Mailer: ELM [version 2.4 PL24alpha3] MIME-Version: 1.0 Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: 7bit Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk *** apologies for multiple copies *** First International Conference on Computational Logic, CL2000 Imperial College, London, UK 24th to 28th July, 2000 2nd call for papers CL2000 is the first conference in a major new series of annual international conferences bringing together the various communities of researchers who have a common interest in Computational Logic. CL2000 is collocating with the following conferences: DOOD2000: 6th Int'l Conference on Rules and Objects in Databases ILP2000: 10th Int'l Workshop on Inductive Logic Programming LOPSTR2000: 10th Int'l Workshop on Logic-based Program Synthesis and Transformation CL2000 will include seven streams covering various subfields of computational logic, each with its own separate Program Committee: - Database Systems (DOOD2000) - Program Development (LOPSTR2000) - Knowledge Representation and Non-monotonic Reasoning - Automated Deduction: Putting Theory into Practice - Constraints - Logic Programming: Theory and Extensions - Logic Programming: Implementations and Applications The last three streams effectively constitute the former ICLP conference series that will be now integrated into CL2000. ILP2000 will be collocating as a separate conference. Papers on all aspects of the theory, implementation, and application of Computational Logic are invited, where Computational Logic is to be understood broadly as the use of logic in Computer Science. Provisional deadlines: Papers must be submitted by 1 February, 2000 Authors will be notified of acceptance/rejection by 1 May, 2000 Camera-ready versions must be received by 1 June, 2000 Further information is available at the conference web site: http://www.doc.ic.ac.uk/cl2000 From owner-reliable_computing [at] interval [dot] usl.edu Mon Oct 25 13:02:18 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id NAA09090 for reliable_computing-outgoing; Mon, 25 Oct 1999 13:02:18 -0500 (CDT) Received: from Fourier.visgraf.impa.br (external.visgraf.impa.br [147.65.1.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id NAA09085 for ; Mon, 25 Oct 1999 13:01:53 -0500 (CDT) Received: from Newton.visgraf.impa.br (Newton [147.65.6.52]) by Fourier.visgraf.impa.br (8.9.3/8.9.3) with ESMTP id QAA17107 for ; Mon, 25 Oct 1999 16:01:01 -0200 (EDT) From: Luiz Henrique de Figueiredo Received: by Newton.visgraf.impa.br (8.9.3) id QAA09283; Mon, 25 Oct 1999 16:00:56 -0200 (EDT) Date: Mon, 25 Oct 1999 16:00:56 -0200 (EDT) Message-Id: <199910251800.QAA09283 [at] Newton [dot] visgraf.impa.br> To: reliable_computing [at] interval [dot] usl.edu Subject: Re: Accreditation of Codes Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk >From: "Kearfott R. Baker" >Date: Wed, 20 Oct 1999 13:53:27 -0500 (CDT) >The attached is just one example of how intervals have been used in >the process of proving various results. For another example of the use of interval arithmetic in mathematical proofs, see "The dynamics of the foliation of Jouanolou on the complex projective 2-space" by Cesar Camacho and Luiz Henrique de Figueiredo submitted to "Ergodic Theory and Dynamical Systems". http://www.impa.br/~lhf/cc/paper.ps.gz http://www.impa.br/~lhf/cc/paper.pdf This paper uses global optimization and also AWA. --lhf From owner-reliable_computing [at] interval [dot] usl.edu Thu Oct 28 08:54:06 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id IAA14391 for reliable_computing-outgoing; Thu, 28 Oct 1999 08:54:06 -0500 (CDT) Received: from matesco.unican.es (hall.matesco.unican.es [193.144.183.40]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id IAA14386 for ; Thu, 28 Oct 1999 08:53:50 -0500 (CDT) Received: from [193.144.183.3] (sturm.matesco.unican.es [193.144.183.3]) by matesco.unican.es (8.8.8+Sun/8.8.8) with ESMTP id PAA01612; Thu, 28 Oct 1999 15:50:15 +0100 (WET DST) Mime-Version: 1.0 X-Sender: gvega [at] hall [dot] matesco.unican.es Message-Id: Date: Thu, 28 Oct 1999 15:53:40 +0200 To: reliable_computing [at] interval [dot] usl.edu, communaute [at] medicis [dot] polytechnique.fr From: Laureano Gonzalez-Vega Subject: ISSAC2000 First Announcement and call for papers Content-Type: text/plain; charset="us-ascii" ; format="flowed" Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk \documentstyle[fullpage]{article} \thispagestyle{empty} \begin{document} \begin{center} \Large\bf First Announcement and Call for Papers \par\vspace{8pt} \Huge\bf ISSAC 2000 \par\vspace{15pt} \par\large\bf International Symposium on Symbolic and Algebraic Computation \par\vspace{3pt} University of St Andrews, Scotland, August 7--9, 2000 \par \vspace{10pt} \par\end{center} %\hrulefill %\subsection*{Join Us for ISSAC 2000} ISSAC is an annual international symposium that provides an opportunity to learn of new developments and to present original research in all areas of symbolic and algebraic computation. ISSAC 2000 will be held at St Andrews, Scotland's oldest university. Visitors to St Andrews will discover a city full of charm and historical interest, and golfers will be delighted by the many famous and challenging golf courses in the area. \subsection*{Conference Topics and Activities} Planned activities include invited presentations, research and survey papers, poster sessions, tutorial courses, vendor exhibits and software demonstrations. Proposals for workshops, tutorials, demonstrations, panel discussions or other related activities are welcome and should be communicated to the General Chair. Topics of the meeting include, but are not limited to: \begin{itemize} \item {\it Algorithmic mathematics}: Algebraic algorithms, symbolic algorithms, symbolic-numeric algorithms, geometric algorithms. \item {\it Computer science}: Computer algebra, computational logic, computational geometry, computational visualization. \item {\it Applications in}: Architecture, engineering, economics and finance, science, mathematics, education. \end{itemize} \subsection*{Call for Papers} Research results and insightful analyses of current concerns are the primary focus. Papers will be reviewed by a program committee and additional referees. Survey articles may be suitable for submission, if clearly identified as such, and will be considered in a separate category from the research papers. {\it Simultaneous submission for publication elsewhere is not allowed.} Authors are invited to submit papers to the Program Committee Chair before December 17, 1999. Notification of acceptance will be sent by March 31, 2000. For full instructions on paper submission, please consult the conference Web site, or contact the Program Committee Chair (C. Bajaj, Department of Computer Sciences, University of Texas, Austin, TX 78733, USA, bajaj [at] cs [dot] utexas.edu). There will be a separate poster session. For instructions on submitting a poster, please consult the conference Web site. \subsection*{Further Information} Full information can be found on the conference Web site, {\bf http://www-gap.dcs.st-and.ac.uk/issac2000}. E-mail inquiries may be sent to issac2000 [at] dcs [dot] st-and.ac.uk or to one of the conference committee members listed below. \begin{quote} General Chair: T. Recio, Universidad de Cantabria, recio [at] matesco [dot] unican.es \\ Local Arrangements Chair: S. Linton, University of St Andrews, sal [at] dcs [dot] st-and.ac.uk \\ Program Committee Chair: C. Bajaj, University of Texas at Austin, bajaj [at] cs [dot] utexas.edu \\ Editor: C. Traverso, Universita di Pisa, traverso [at] posso [dot] dm.unipi.it \end{quote} Written inquiries may be directed to ISSAC 2000, Division of Computer Science, University of St Andrews, North Haugh, St Andrews, Fife, Scotland, KY16 9SS. \end{document} From owner-reliable_computing [at] interval [dot] usl.edu Fri Oct 29 10:03:25 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id KAA16502 for reliable_computing-outgoing; Fri, 29 Oct 1999 10:03:24 -0500 (CDT) Received: from mail.iat.cnr.it (mail.iat.cnr.it [146.48.65.43]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id KAA16497 for ; Fri, 29 Oct 1999 10:03:20 -0500 (CDT) Received: from ieiserv.iei.pi.cnr.it (ieiserv.iei.pi.cnr.it [131.114.200.2]) by mail.iat.cnr.it (PMDF V5.2-32 #36023) id <01JHPPW4KS6OCDR41K [at] mail [dot] iat.cnr.it> (original mail from t.bolognesi [at] IEI [dot] PI.CNR.IT) for reliable_computing [at] interval [dot] usl.edu; Fri, 29 Oct 1999 17:01:26 +0200 Received: from ieiserv.iei.pi.cnr.it (ieiserv.iei.pi.cnr.it [131.114.200.2]) by mail.iat.cnr.it (PMDF V5.2-32 #36023) with ESMTP id <01JHPPW33OXOCDR5FY [at] mail [dot] iat.cnr.it> for forte-pstv-2000-lists-expand [at] reprocess [dot] iat.cnr.it (ORCPT rfc822;forte-pstv-2000-lists [at] mail [dot] iat.cnr.it); Fri, 29 Oct 1999 17:01:13 +0200 Received: from [131.114.200.22] (mac-bolognesi.iei.pi.cnr.it [131.114.200.22]) by ieiserv.iei.pi.cnr.it (8.9.1/8.9.1) with ESMTP id SAA21902 for ; Fri, 29 Oct 1999 18:01:54 +0000 (GMT) Date: Fri, 29 Oct 1999 17:05:14 +0100 From: Tommaso Bolognesi Subject: FORTE / PSTV 2000 - preliminary CfP X-Sender: bolog [at] ieiserv [dot] iei.pi.cnr.it To: forte-pstv-2000-lists [at] mail [dot] iat.cnr.it Reply-to: forte-pstv-2000 [at] cpr [dot] it Message-id: MIME-version: 1.0 Content-type: text/plain; charset=us-ascii Content-transfer-encoding: 7BIT Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk ----------------------- Preliminary Call for Papers --------------- ********** ********** ************** ************** ************** ************** F O R T E / P S T V 2 0 0 0 ************** ************** ************** ************** ************** ************** ----------------------- Pisa, October 10-13, 2000 --------------- IFIP TC6/WG6.1 Joint International Conference FORMAL DESCRIPTION TECHNIQUES for Distributed Systems and Communication Protocols (FORTE XIII) PROTOCOL SPECIFICATION, TESTING, AND VERIFICATION (PSTV XX) ===> HomePage: http://forte-pstv-2000.cpr.it ===> e-mail: forte-pstv-2000 [at] cpr [dot] it The PSTV series of international workshops started in 1981; the first edition of the FORTE conference was held in 1988. Since 1996, the two meetings have been combined into a single event. FORTE/PSTV 2000 will address Formal Description Techniques (FDT's) applicable to Distributed Systems and Communication Protocols. The term FDT's, originally referring to the international standards Estelle, LOTOS, SDL, ASN.1 and TTCN, is taken here in its broadest sense, and includes a variety of formal methods and techniques, such as CCS, pi-calculus, timed and stochastic process algebra, VDM, Z, B, Automata and Timed Automata, Statecharts, Logics, TLA, Message Sequence Charts, ADT's, OBJ, Larch, formal Object-Oriented approaches, and others. The conference is a forum for presentation and discussion of the state of the art in theory, application, tools and industrialization of FDT's. It deals with the entire development cycle of communication protocols, distributed systems and applications (requirements capture, specification, design, verification, performance analysis, implementation and testing), and provides a valuable orientation for newcomers. Research papers and industrial usage reports, as well as proposals for tutorials and advanced technology seminars, posters and tool demonstrations are solicited, particularly in the following areas: o FDT-based system and protocol engineering o Semantical foundations o Extensions of FDT's o Formal approaches to concurrent/distributed Object-Oriented systems o Real-time and probability aspects o Performance modeling and analysis o Quality of Service modeling and analysis o Verification and validation o Relations between informal and formal specification o FDT based protocol implementation o Software tools and support environments o FDT application to distributed systems, high speed protocols, Internet protocols, multimedia and multicast protocols o FDT application to wireless and mobile communication, intelligent networks, network management, and network security o Protocol testing, including conformance testing, interoperability testing, and performance testing o Test generation, selection and coverage o Practical experience and case studies o Corporate strategic and financial consequences of using formal methods FORTE / PSTV 2000 will start on October 10th with one day of tutorials and advanced technology seminars, and will continue with three days of technical presentations. Tool demonstrations and poster displays will be possible throughout the conference. A Best Paper Award will be offered by IFIP TC6 to the author(s) of the best submitted paper. A limited number of Satellite Workshops may be arranged: potential organisers please contact the Programme Committee chairmen. IMPORTANT DATES March 7, 2000 Submission deadline May 15, 2000 Notification of acceptance June 15, 2000 Camera ready copy CONFERENCE CHAIR Tommaso Bolognesi (C.N.R. - I.E.I. - Pisa) PROGRAMME COMMITTEE CO-CHAIRS Tommaso Bolognesi (C.N.R. - I.E.I. - Pisa) Diego Latella (C.N.R. - Istituto CNUCE - Pisa) PROGRAMME COMMITTEE To be announced PROCEEDINGS Kluwer Academic Publishers. --------------------- SUBMISSION POLICY --------------------- Full original research papers and industrial usage reports should be up to 16 pages, including abstract, names and affiliations of all authors, and a list of keywords facilitating the assignment of papers to referees. For industrial usage reports, short papers up to 8 pages are also welcome. Electronic submissions are highly recommended, and should be formatted according to the templates and styles for the final proceedings, which are available at http://www.wkap.com/ifip/ (check the Conference Web site for detailed instructions). Please send two e- mails, respectively containing: o a plain text (ASCII) including only: submission category (research paper or industrial usage report), paper title, name and affiliation of authors, keywords, abstract, and full contact information of the primary author; o your complete paper in postscript format; to: forte-pstv-2000 [at] cpr [dot] it Authors are encouraged to use the A4 paper size and to make sure that their submissions are printable on a variety of postscript printers (e.g. by using standard fonts). Authors are required not to send papers that have been submitted to another conference or to a journal. TUTORIAL / ADVANCED SEMINAR SUBMISSION Send your proposal by e-mail before March 7th, 2000, to Alessandro Fantechi: fantechi [at] dsi [dot] unifi.it, indicating also the expected duration of your presentation (ranging from two hours to a full day). TOOL DEMO SUBMISSION Send your proposal by e-mail before September 1st, 2000, to Maurizio Caneve: m.caneve [at] cpr [dot] it. From owner-reliable_computing [at] interval [dot] usl.edu Sun Oct 31 12:21:52 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id MAA19451 for reliable_computing-outgoing; Sun, 31 Oct 1999 12:21:52 -0600 (CST) Received: from cs.utep.edu (galaxy.cs.utep.edu [129.108.5.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id MAA19446 for ; Sun, 31 Oct 1999 12:21:49 -0600 (CST) Received: from earth.cs.utep.edu (earth.cs.utep.edu [129.108.5.21]) by cs.utep.edu (8.9.3/8.9.3) with SMTP id LAA29476 for ; Sun, 31 Oct 1999 11:21:42 -0700 (MST) Message-Id: <199910311821.LAA29476 [at] cs [dot] utep.edu> Date: Sun, 31 Oct 1999 11:21:42 -0700 (MST) From: vladik Reply-To: vladik Subject: from NA Digest To: reliable_computing [at] interval [dot] usl.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: OaPpPWUauEfmJcwRTldHdg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.4 SunOS 5.7 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk From: Kamal Abdali Date: Mon, 25 Oct 1999 09:56:59 -0400 Subject: NSF's Information Technology Research Program The National Science Foundations's newly announced Information Technology Research (ITR) program should be of interest to the scientific computing/computational science research community. There is a web site http://www.itr.nsf.gov that includes the program announcement, various information items, and a FAQ. The ITR program has been developed in response to the President's Information Technology Advisory Committee (PITAC) Report to the President. The report, entitled "Information Technology Research: Investing in Our Future" http://www.ccic.gov/ac/report , contains a number of findings and recommendations. High end computing is one of the Technical Research priorities in the report. The high-end computing research recommended by PITAC is covered in, among other places, the section entitled "Advanced Computational Science" in the ITR announcement. This section invites proposals for leading-edge research in algorithms, software and systems that is applicable to scientific and engineering computation. The list of research topics explicitly mentioned in this section include: numerical methods, optimization, symbolic and algebraic computation, computational geometry, software libraries, problem-solving environments, computer graphics and scientific visualization. From owner-reliable_computing [at] interval [dot] usl.edu Sun Oct 31 12:26:59 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id MAA19523 for reliable_computing-outgoing; Sun, 31 Oct 1999 12:26:59 -0600 (CST) Received: from cs.utep.edu (galaxy.cs.utep.edu [129.108.5.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id MAA19513 for ; Sun, 31 Oct 1999 12:26:41 -0600 (CST) Received: from earth.cs.utep.edu (earth.cs.utep.edu [129.108.5.21]) by cs.utep.edu (8.9.3/8.9.3) with SMTP id LAA29484 for ; Sun, 31 Oct 1999 11:26:39 -0700 (MST) Message-Id: <199910311826.LAA29484 [at] cs [dot] utep.edu> Date: Sun, 31 Oct 1999 11:26:39 -0700 (MST) From: vladik Reply-To: vladik Subject: from NA Digest To: reliable_computing [at] interval [dot] usl.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: +SZVIYTrxMBTR4/2MM40BQ== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.3.4 SunOS 5.7 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk From: G. W. Stewart Date: Mon, 25 Oct 1999 14:55:57 -0400 (EDT) Subject: Rounding Error On October 11, I posted the following query in the NA Digest. I'm giving a talk later this month on rounding error to the Baltimore-Washington Section of SIAM. I would appreciate any interesting anecdotes on real-life embarrassments due to rounding error. I recall (though I don't know the details) stories about an index on the Canadian stock market drifting off true and something about a missile in the Iraq war. If you know the details of these or any other stories, please pass them on to me. Pete Stewart The response was certainly gratifying. Within two days I received 64 messages. They were a great help in preparing my talk, which I gave on October 20 at Johns Hopkins. My thanks to everyone. (For those who are interested, a postscript file of my transparencies can be found at ftp://thales.cs.umd.edu/pub/misc/roundtalk.ps) I was surprised to find how few incidents were reported. Apparently, with some notable exceptions, the problems due to roundoff are themselves at the level of roundoff. Many responders asked me to post a summary. Here is a list of the incidents I used in my talk with references and a brief description. 1. The Patriot and the Scud. Sources 1. General Accounting Office Report GAO/IMTEC-92-26. 2. Robert Skeel, "Roundoff Error Cripples Patriot Missile," SIAM News, July 1992. On February 25, 1991, during the Gulf War, a Patriot missile defense system let a Scud get through. It hit a barracks, killing 28 people. The problem was in the differencing of floating point numbers obtained by converting and scaling an integer timing register. The GAO report has less than the full story. For that see Skeel's excellent article. 2. The short flight of the Ariane 5. Source 1. Report by the Inquiry Board. http://www.esrin.esa.it/htdocs/tidc/Press/Press96/ariane5rep.html On June 4, 1996, the first Ariane 5 was launched. All went well for 36 seconds. Then the Ariane veered off course and self-destructed. The problem was in the Inertial Reference System, which produced an operation exception trying to convert a 64-bit floating-point number to a 12-bit integer. It sent a diagnostic word to the On-Board Computer, which interpreted it as flight data. Finis. Ironically, the computation was done by legacy software from the Ariane 4, and its results were not needed after lift-off. 3. The Vancouver Stock Exchange Sources 1. The Wall Street Journal November 8, 1983, p.37. 2. The Toronto Star, November 19, 1983. 3. B.D. McCullough and H.D. Vinod Journal of Economic Literature Vol XXXVII (June 1999), pp. 633-665. (References communicated by Valerie Fraysse) In 1982 (I figure) the Vancouver Stock Exchange instituted a new index initialized to a value of 1000.000. The index was updated after each transaction. Twenty two months later it had fallen to 520. The cause was that the updated value was truncated rather than rounded. The rounded calculation gave a value of 1098.892. 4. Parliamentary elections in Schleswig-Holstein. Sources 1. Rounding error changes Parliament makeup Debora Weber-Wulff The Risks Digest Volume 13, Issue 37, 1992 http://catless.ncl.ac.uk/Risks/ In German parliamentary elections, a party with less than 5.0% of the vote cannot be seated. The Greens appeared to have a cliff-hanging 5.0%, until it was discovered (after the results had been announced) that they really had only 4.97%. The printout was to two figures, and the actual percentage was rounded to 5.0%. 5. For a few more examples try searching the RISK Digest (http://catless.ncl.ac.uk/Risks/) with the key word "rounding" (David Goldberg's idea). Once again, thanks to all of you for your help. Pete Stewart From owner-reliable_computing [at] interval [dot] usl.edu Sun Oct 31 18:14:18 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id SAA20314 for reliable_computing-outgoing; Sun, 31 Oct 1999 18:14:17 -0600 (CST) Received: from unknown (184.pool.atl800.gw.eni.net [155.229.7.184]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with SMTP id SAA20300; Sun, 31 Oct 1999 18:14:09 -0600 (CST) From: art123 [at] pacsun [dot] com Subject: laser printer toner advertisement Date: Sun, 31 Oct 1999 15:41:14 Message-Id: <71.152680.191345@> Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk BENCHMARK SUPPLY 7540 BRIDGEGATE COURT ATLANTA GA 30350 ***LASER PRINTER TONER CARTRIDGES*** ***FAX AND COPIER TONER*** CHECK OUT OUR NEW CARTRIDGE PRICES : APPLE LASER WRITER PRO 600 OR 16/600 $69 LASER WRITER SELECT 300,310.360 $69 LASER WRITER 300, 320 $54 LASER WRITER LS,NT,2NTX,2F,2G & 2SC $54 LASER WRITER 12/640 $79 HEWLETT PACKARD LASERJET SERIES 2,3 & 3D (95A) $49 LASERJET SERIES 2P AND 3P (75A) $54 LASERJET SERIES 3SI AND 4SI (91A) $75 LASERJET SERIES 4L AND 4P $49 LASERJET SERIES 4, 4M, 5, 5M, 4+ (98A) $59 LASERJET SERIES 4000 HIGH YIELD (27X) $99 LASERJET SERIES 4V $95 LASERJET SERIES 5SI , 8000 $95 LASERJET SERIES 5L AND 6L $49 LASERJET SERIES 5P, 5MP, 6P, 6MP $59 LASERJET SERIES 5000 (29A) $135 LASERJET SERIES 1100 (92A) $49 LASERJET SERIES 2100 (96A) $89 LASERJET SERIES 8100 (82X) $145 HP LASERFAX LASERFAX 500, 700, FX1, $59 LASERFAX 5000, 7000, FX2, $59 LASERFAX FX3 $69 LASERFAX FX4 $79 LEXMARK OPTRA 4019, 4029 HIGH YIELD $135 OPTRA R, 4039, 4049 HIGH YIELD $135 OPTRA S 4059 HIGH YIELD $135 OPTRA E $59 OPTRA N $115 EPSON EPL-7000, 8000 $105 EPL-1000, 1500 $105 CANON LBP-430 $49 LBP-460, 465 $59 LBP-8 II $54 LBP-LX $54 LBP-MX $95 LBP-AX $49 LBP-EX $59 LBP-SX $49 LBP-BX $95 LBP-PX $49 LBP-WX $95 LBP-VX $59 CANON FAX L700 THRU L790 FX1 $59 CANONFAX L5000 L70000 FX2 $59 CANON COPIERS PC 20, 25 ETC.... $89 PC 3, 6RE, 7, 11 (A30) $69 PC 320 THRU 780 (E40) $89 NEC SERIES 2 LASER MODEL 90,95 $105 PLEASE NOTE: 1) ALL OUR CARTRIDGES ARE GENUINE OEM CARTRIDGES. 2) WE DO NOT SEND OUT CATALOGS OR PRICE LISTS 3) WE DO NOT FAX QUOTES OR PRICE LISTS. 4) WE DO NOT SELL TO RESELLERS OR BUY FROM DISTRIBUTERS 5) WE DO NOT CARRY: BROTHER-MINOLTA-KYOSERA-PANASONIC PRODUCTS 6) WE DO NOT CARRY: XEROX-FUJITSU-OKIDATA OR SHARP PRODUCTS 7) WE DO NOT CARRY ANY COLOR PRINTER SUPPLIES 8) WE DO NOT CARRY DESKJET/INKJET OR BUBBLEJET SUPPLIES 9) WE DO NOT BUY FROM OR SELL TO RECYCLERS OR REMANUFACTURERS WE ACCEPT GOVERNMENT, SCHOOL & UNIVERSITY PURCHASE ORDERS JUST LEAVE YOUR PO # WITH CORRECT BILLING & SHIPPING ADDRESS ****OUR ORDER LINE IS 770-399-0953 **** ****OUR CUSTOMER SERVICE LINE IS 800-586-0540**** ****OUR E-MAIL REMOVAL AND COMPLAINT LINE IS 888-532-7170**** ****PLACE YOUR ORDER AS FOLLOWS**** : BY PHONE 770-399-0953 BY FAX: 770-698-9700 BY MAIL: BENCHMARK PRINT SUPPLY 7540 BRIDGEGATE COURT , ATLANTA GA 30350 MAKE SURE YOU INCLUDE THE FOLLOWING INFORMATION IN YOUR ORDER: 1) YOUR PHONE NUMBER 2) COMPANY NAME 3) SHIPPING ADDRESS 4) YOUR NAME 5) ITEMS NEEDED WITH QUANTITIES 6) METHOD OF PAYMENT. 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From owner-reliable_computing [at] interval [dot] usl.edu Sun Oct 31 19:32:21 1999 Received: (from root@localhost) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) id TAA20718 for reliable_computing-outgoing; Sun, 31 Oct 1999 19:32:20 -0600 (CST) Received: from marnier.ucs.usl.edu (root@ucs-gw.usl.edu [130.70.40.2]) by interval.usl.edu (8.9.1/8.9.1/interval-math-majordomo-1.0) with ESMTP id TAA20713 for ; Sun, 31 Oct 1999 19:31:58 -0600 (CST) Received: from u8174 (rbk5287 [at] goedel [dot] usl.edu [130.70.49.203]) by marnier.ucs.usl.edu (8.9.1/8.9.1/ucs-mx-host_1.3) with SMTP id TAA17018 for ; Sun, 31 Oct 1999 19:31:55 -0600 (CST) Message-Id: <2.2.32.19991101013247.00716fc8 [at] pop [dot] usl.edu> X-Sender: rbk5287 [at] pop [dot] usl.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Sun, 31 Oct 1999 19:32:47 -0600 To: reliable_computing [at] interval [dot] usl.edu From: "R. Baker Kearfott" Subject: Apology for the "spam" Sender: owner-reliable_computing [at] interval [dot] usl.edu Precedence: bulk Colleagues: I regret the advertisement for laser toner that somehow got posted to this list. Although not serious, it was in my judgement very inappropriate for our list. I have left a message with the originator asking that he not do that again, and I will trace how he got the address. Otherwise, I have been happy with the friendly scholarly discussions that have occurred, unmoderated, on this list, and I will endeavor to preserve that environment, without discractions. (Of course, I think material that borders on being promotional is appropriate, provided it is directly related to reliable computing or interval computations. It is not my intention to quash discussion, expression of opinion, or announcements that are a propos.) Sincerely, R. Baker Kearfott --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 981-9744 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA ---------------------------------------------------------------