Download Advances in Computing Science ASIAN 98: 4th Asian Computing by Susumu Hayashi, Ryosuke Sumitomo (auth.), Jieh Hsiang, PDF

By Susumu Hayashi, Ryosuke Sumitomo (auth.), Jieh Hsiang, Atsushi Ohori (eds.)

This booklet constitutes the refereed lawsuits of the 4th Asian Computing technological know-how convention, ASIAN'98, held in Manila, The Philippines, in December 1998.
The 17 revised complete papers provided have been rigorously reviewed and chosen from a complete of forty three submissions. additionally incorporated are a number of invited contributions. one of the subject matters coated are computerized deduction, facts conception, rewriting structures, application semantics, allotted processing, algorithms, and graph-theoretical features.

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Additional info for Advances in Computing Science ASIAN 98: 4th Asian Computing Science Conference Manila, The Philippines, December 8–10, 1998 Proceedings

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Mechanizing Reasoning about Large Finite Tables in a Rewrite Based Theorem Prover Deepak Kapur and M. edu Abstract. Finite tables are commonly used in many hardware and software applications. In most theorem provers, tables are typically axiomatized using predicates over the table indices. For proving conjectures expressed using such tables, provers often have to resort to brute force case analysis, usually based on indices of a table. Resulting proofs can be unnecessarily complicated and lengthy.

We slightly abuse the notation and write lookup(t, i1, j1) to mean the entry associated with the index values i1, j1 in the table t. For convenience, we introduce the syntactic sugar for lookup(t, i1, j1) and write it as t(i1, j1). A table can then be specified by enumerating its entries as: t(i1, j1) := v1, t(i2, j2) := v2, ... For example, the diagonal matrix dm can be specified as follows. Numbers 0, 1, 2, 3 are free constructors of the enumerated type n03. The value type of the table is natural numbers, but only the subrange 0 − 4 is being used.

It avoids the errors that may be introduced by abstractions. Additional proof obligations for proving abstractions correct are avoided. Moreover, the gap between implementation and verification models of circuits is reduced. The main drawback of using explicit tables however, is the large number of cases that are generated in the correctness proofs. implementation and the verification The proposed approach addresses these concerns by firstly avoiding abstractions by directly considering tables as they are, and secondly by exploiting the structure of tables–their entries as well as indices.

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