By Silvano Dal Zilio, Andrew D. Gordon (auth.), Mogens Nielsen, Branislav Rovan (eds.)

ISBN-10: 3540446125

ISBN-13: 9783540446125

ISBN-10: 3540679014

ISBN-13: 9783540679011

This booklet constitutes the refereed lawsuits of the twenty fifth overseas Symposium on Mathematical Foundations of desktop technology, MFCS 2000, held in Bratislava/Slovakia in August/September 2000. The fifty seven revised complete papers offered including 8 invited papers have been conscientiously reviewed and chosen from a complete of 147 submissions. The publication offers an outstanding review on present examine in theoretical informatics. All correct foundational concerns, from mathematical logics in addition to from discrete arithmetic are lined. anyone attracted to theoretical laptop technology or the speculation of computing will make the most of this ebook.

**Read or Download Mathematical Foundations of Computer Science 2000: 25th International Symposium, MFCS 2000 Bratislava, Slovakia, August 28 – September 1, 2000 Proceedings PDF**

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This e-book constitutes the refereed lawsuits of the twenty fifth foreign Symposium on Mathematical Foundations of desktop technology, MFCS 2000, held in Bratislava/Slovakia in August/September 2000. The fifty seven revised complete papers provided including 8 invited papers have been rigorously reviewed and chosen from a complete of 147 submissions.

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**Sample text**

LISP & Functional Programming (ACM, 1986) pp. 162-173. 7. A. , MACSYMA Reference Manual (version 9). T. , 1977. 8. , Cannon,J. , Programming with algebraic structures: design of the Magma language. Proc. ISSAC 1994, ACM, New York, 1994, pp. 52–57. 9. , Cannon,J. , The Magma algebra system. I: The user language. J. Symbolic Comp. 24 (1997) pp. 235–265. Zbl. 68039. 10. A. , Enlarging the REDUCE Domain of Computation. Proc. SYMSAC 86, ACM, New York, 1986, pp. 100–106. 11. , Lugiez,D. , A rewrite-based type discipline for a subset of computer algebra.

In this respect it is similar to a magma [8,9] or a theory [26]. *? =? ˆ? /? : (%,%) -> % 1 : () -> % coerce : % -> OutputForm conjugate : (%,%) -> % inv : % -> % one? ˜=? : (%,%) -> Boolean Note that (mathematical) equality is specifically defined here. Thus an Axiom Group is more than just a mathematical group: it is one in which equality is decidable — certainly not the case in all mathematical groups [52, pp. 430–431]. We discuss this point later. The axioms are currently mostly defined as a special form of comment in the Axiom source code, and are intended for human use.

In Proceedings PLDI’95, pages 174–185, 1995. 3. A. Banerjee, N. Heintze, and J. Riecke. Region analysis and the polymorphic lambda calculus. In Proceedings LICS’99, 1999. 4. L. Birkedal, M. Tofte, and M. Vejlstrup. From region inference to von Neumann machines via region representation inference. In Proceedings POPL’96, pages 171– 183. 1996. 5. L. Cardelli, G. Ghelli, and A. D. Gordon. Ambient groups and mobility types. In Proceedings TCS2000, Lecture Notes in Computer Science. Springer, 2000. To appear.

### Mathematical Foundations of Computer Science 2000: 25th International Symposium, MFCS 2000 Bratislava, Slovakia, August 28 – September 1, 2000 Proceedings by Silvano Dal Zilio, Andrew D. Gordon (auth.), Mogens Nielsen, Branislav Rovan (eds.)

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