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Some Complexity Theoretic Aspects of AC Rewriting

  • Stony Brook University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

In this paper we establish several tight complexity bounds on the sequential and parallel complexity of the associative-commutative (AC) matching problem and its variants. One of our main contributions in this paper is the demonstration of a much tighter relationship between AC matching of linear terms and bipartite matching in both sequential and parallel computation. Another contribution is the use of complexity theoretic techniques to find parallelism in these problems. We believe that this approach can be successfully applied to other matching and unification problems that are not amenable to direct parallelization.

Original languageEnglish
Title of host publicationSTACS 89 - 6th Annual Symposium on Theoretical Aspects of Computer Science, Proceedings
EditorsBurkhard Monien, Robert Cori
PublisherSpringer Science and Business Media Deutschland GmbH
Pages407-420
Number of pages14
ISBN (Print)9783540508403
DOIs
StatePublished - 1989
Event6th Symposium on Theoretical Aspects of Computer Science, STACS 1989 - Paderborn, Germany
Duration: Feb 16 1989Feb 18 1989

Publication series

NameLecture Notes in Computer Science
Volume349 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference6th Symposium on Theoretical Aspects of Computer Science, STACS 1989
Country/TerritoryGermany
CityPaderborn
Period02/16/8902/18/89

Keywords

  • Bipartite Match
  • Function Symbol
  • Parallel Complexity
  • Proof Sketch
  • Turing Machine

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