This book constitutes the refereed proceedings of the 7th International Conference on Rewriting Techniques and Applications, RTA-96, held in New Brunswick, NJ, USA, in July 1996. The 27 revised full papers presented in this volume were selected from a total of 84 submissions, also included are six system descriptions and abstracts of three invited papers. The topics covered include analysis of term rewriting systems, string and graph rewriting, rewrite-based theorem proving, conditional term rewriting, higher-order rewriting, unification, symbolic and algebraic computation, and efficient implementation of rewriting on sequential and parallel machines.…mehr
This book constitutes the refereed proceedings of the 7th International Conference on Rewriting Techniques and Applications, RTA-96, held in New Brunswick, NJ, USA, in July 1996. The 27 revised full papers presented in this volume were selected from a total of 84 submissions, also included are six system descriptions and abstracts of three invited papers. The topics covered include analysis of term rewriting systems, string and graph rewriting, rewrite-based theorem proving, conditional term rewriting, higher-order rewriting, unification, symbolic and algebraic computation, and efficient implementation of rewriting on sequential and parallel machines.
Rewrite-based automated reasoning: Challenges ahead.- Fine-grained concurrent completion.- AC-complete unification and its application to theorem proving.- Superposition theorem proving for abelian groups represented as integer modules.- Symideal Gröbner bases.- Termination of constructor systems.- Dummy elimination in equational rewriting.- On proving termination by innermost termination.- A recursive path ordering for higher-order terms in ?-long ?-normal form.- Higher-order superposition for dependent types.- Higher-order narrowing with definitional trees.- Design of a proof assistant.- A compiler for nondeterministic term rewriting systems.- Combinatory reduction systems with explicit substitution that preserve strong normalisation.- Confluence properties of extensional and non-extensional ?-calculi with explicit substitutions (extended abstract).- On the power of simple diagrams.- Coherence for sharing proof nets.- Modularity of termination in term graph rewriting.- Confluence of terminating conditional rewrite systems revisited.- Applications of rewrite techniques in monoids and rings.- Compositional term rewriting: An algebraic proof of Toyama's theorem.- The first-order theory of one-step rewriting is undecidable.- An algorithm for distributive unification.- On the termination problem for one-rule semi-Thue system.- Efficient second-order matching.- Linear second-order unification.- Unification of higher-order patterns in a simply typed lambda-calculus with finite products and terminal type.- Decidable approximations of term rewriting systems.- Semantics and strong sequentially of priority term rewriting systems.- Higher-order families.- A new proof manager and graphic interface for the larch prover.- ReDuX 1.5: New facets of rewriting.- CiME: Completionmodulo E.- Distributed larch prover (DLP): An experiment in parallelizing a rewrite-rule based prover.- EPIC: An equational language Abstract machine and supporting tools.- SPIKE-AC: A system for proofs by induction in Associative-Commutative theories.- On gaining efficiency in completion-based theorem proving.
Rewrite-based automated reasoning: Challenges ahead.- Fine-grained concurrent completion.- AC-complete unification and its application to theorem proving.- Superposition theorem proving for abelian groups represented as integer modules.- Symideal Gröbner bases.- Termination of constructor systems.- Dummy elimination in equational rewriting.- On proving termination by innermost termination.- A recursive path ordering for higher-order terms in ?-long ?-normal form.- Higher-order superposition for dependent types.- Higher-order narrowing with definitional trees.- Design of a proof assistant.- A compiler for nondeterministic term rewriting systems.- Combinatory reduction systems with explicit substitution that preserve strong normalisation.- Confluence properties of extensional and non-extensional ?-calculi with explicit substitutions (extended abstract).- On the power of simple diagrams.- Coherence for sharing proof nets.- Modularity of termination in term graph rewriting.- Confluence of terminating conditional rewrite systems revisited.- Applications of rewrite techniques in monoids and rings.- Compositional term rewriting: An algebraic proof of Toyama's theorem.- The first-order theory of one-step rewriting is undecidable.- An algorithm for distributive unification.- On the termination problem for one-rule semi-Thue system.- Efficient second-order matching.- Linear second-order unification.- Unification of higher-order patterns in a simply typed lambda-calculus with finite products and terminal type.- Decidable approximations of term rewriting systems.- Semantics and strong sequentially of priority term rewriting systems.- Higher-order families.- A new proof manager and graphic interface for the larch prover.- ReDuX 1.5: New facets of rewriting.- CiME: Completionmodulo E.- Distributed larch prover (DLP): An experiment in parallelizing a rewrite-rule based prover.- EPIC: An equational language Abstract machine and supporting tools.- SPIKE-AC: A system for proofs by induction in Associative-Commutative theories.- On gaining efficiency in completion-based theorem proving.
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