Get Design and Implementation of Symbolic Computation Systems: PDF

By Bruno Buchberger (auth.), Alfonso Miola (eds.)

ISBN-10: 038757235X

ISBN-13: 9780387572352

ISBN-10: 354057235X

ISBN-13: 9783540572350

This quantity constitutes the lawsuits of the overseas Symposium on layout and Implementation of Symbolic Computation platforms (DISCO '93), held in Gmunden, Austria, in September 1993. The becoming value of platforms for symbolic computation has significantly motivated the choice of organizing this 3rd convention within the sequence: DISCO '93 focuses mostly at the such a lot leading edge methodological and technological elements of the layout and implementation of and software program platforms for symbolic and algebraic computation, automatic reasoning, geometric modeling and computation, and automated programming. the final aim of DISCO '93 is to give an up to date view of the sector and to function a discussion board insymbolic computation for the clinical trade between educational, commercial and consumer groups. along with invited talks through Buchberger, Monagan, Omodeo and Hong, the amount comprises 28 contributions, rigorously chosen through a hugely useful foreign application committee from a complete of fifty six submissions.

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Extra resources for Design and Implementation of Symbolic Computation Systems: International Symposium, DISCO '93 Gmunden, Austria, September 15–17, 1993 Proceedings

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TEMPLATEname of the template DATA TYPES data types used in current template TEMPLATES other templates used in current template SUBOBJECTS slots for sub-objects ATTRIBUTES slots for attributes EVENTS event generators CONSTRAINTS restricting conditions on object states VALUATION effect of event occurrences on attributes DERIVATION rules for derived attributes INTERACTION synchronization of events in different objects BEHAVIOR description of object behavior by a CSP-like process END TEMPLATE; To give an example for templates let us assume that we have to describe authors.

5 Analogical Derivation Derivational analogy proposed by J. G. Carbonell[2] is more reasonable than direct analogy. In this section, we illustrate analogical derivation methods based on AITT by examples. When we have types T and S with similar structures, a proof of T (or t e T ) can be obtained by proving T ~ S (or t e T - s e S ) guided by a proof of S (or s e S ) automatically on commom structures of T and S. If there is no common structure at all, the proof is reduced to T ( t e T ) itself, which can be proved manually as in ITr.

It is simpler and easier to apply in some special cases. - Term Introduction 1: ~ T~S t=gse T s=ft~S t e T- s e S The subscription of ~ will be omitted where no ambiguity occurs in the context. The rule below - Term Introduction 2: te T teT~ s~ seS S 38 is another special case where there exists an A e = < f , g >, such that f t = s and g s = t. For instance, let f x = s and g y = t for any x eT, y e S. It is easy to prove that the A c is exactly an analogy between T and S. In this rule, we omit the subscription A e since it is partially defined by this introduction and will be expanded in other parts of a proof.

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Design and Implementation of Symbolic Computation Systems: International Symposium, DISCO '93 Gmunden, Austria, September 15–17, 1993 Proceedings by Bruno Buchberger (auth.), Alfonso Miola (eds.)

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