Titlebook: Rewriting Techniques and Applications; 5th International Co Claude Kirchner Conference proceedings 1993 Springer-Verlag Berlin Heidelberg 1

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0302-9743 constraint solving; semantic unification,disunification and combination; higher-order logics; andtheorem proving, with several papers on distributed theoremproving, theorem proving with constraints and completion.978-3-540-56868-1978-3-662-21551-7Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Equational and membership constraints for infinite trees,r set defining devices are greatest . of regular systems of equations with a deterministic form of union. As the main technical particularity of the algorithms we present a novel memorization technique. We believe that both satisfiability and entailment tests can be implemented in an efficient and incremental manner.

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Some lambda calculi with categorical sums and products,und (base-type) confluence is proved for the full calculus; full confluence is proved for the calculus omitting the rule for strong sums. In the latter case, fixed-point constructors may be added while retaining confluence.

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0302-9743 Canada, in June 1993.The volume includes three invited lectures, "Rewritetechniques in theorem proving" (L. Bachmair),"Provingproperties of typed lambda terms: realizability, covers, andsheaves" (J. Gallier), and "On some algorithmic problems forgroups and monoids" (S.J. Adian), together with 29 sel

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Rewrite techniques in theorem proving, equations, called rewrite rules, that are used for replacements in the indicated direction only. A given expression is rewritten until a simplest possible form, a noremal form, is obtained. Thus, the theory of rewriting is in essence a theory of normal forms. If a rewrite system is convergent, then

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Redundancy criteria for constrained completion,rreducibility predicate. We present several inference systems which show in a very precise way how to take advantage of redundancy notions in the context of constrained equational reasoning. A notable feature of these systems is the variety of tradeoffs they present for removing redundant instances

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