Confluence of conditional rewrite systems

Nachum Dershowitz, Mitsuhiro Okada, G. Sivakumar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

41 Citations (Scopus)

Abstract

Conditional rewriting has been studied both from the point of view of algebraic data type specifications and as a computational paradigm combining logic and functional programming. An important issue, in either case, is determining whether a rewrite system has the Church-Rosser, or confluence, property. In this paper, we settle negatively the question whether “joinability of critical pairs” is, in general, sufficient for confluence of terminating conditional systems. We review known sufficient conditions for confluence, and also prove two new positive results for systems having critical pairs and arbitrarily big terms in conditions.

Original languageEnglish
Title of host publicationConditional Term Rewriting Systems - 1st International Workshop, Proceedings
PublisherSpringer Verlag
Pages31-44
Number of pages14
Volume308 LNCS
ISBN (Print)9783540192428
DOIs
Publication statusPublished - 1988 Jan 1
Externally publishedYes
Event1st International Workshop on Conditional Term Rewriting Systems, 1987 - Orsay, France
Duration: 1987 Jul 81987 Jul 10

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume308 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other1st International Workshop on Conditional Term Rewriting Systems, 1987
CountryFrance
CityOrsay
Period87/7/887/7/10

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ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Dershowitz, N., Okada, M., & Sivakumar, G. (1988). Confluence of conditional rewrite systems. In Conditional Term Rewriting Systems - 1st International Workshop, Proceedings (Vol. 308 LNCS, pp. 31-44). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 308 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-19242-5_3