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Design and Performance Evaluation of Knuth-Bendix Multi-Completion System Using Boolean Constrained Reduction Orders

  • Haruhiko Sato
  • Masahito Kurihara
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 33)

Abstract

A multi-completion system MKB developed by Kurihara and Kondo accepts as input a set of reduction orders in addition to equations and efficiently simulates parallel processes each of which executes the standard completion procedure with one of the given orderings. In this paper, we describe a new system MKBOOL, which is a refinement of MKB in the sense that it restricts the reduction orders to those classes which can be represented by boolean constraints on some domains. Such classes include the recursive path orders (with status) for a finite signature. Our implementation represents a conjunction of the constraints by a binary decision diagram. The comprehensive experiments with the implementation on a set of well-known test problems show that in exchange for that restriction, MKBOOL runs more efficiently than MKB for most of the problems.

Keywords

Term rewriting system Knuth-Bendix completion Multi-completion Recursive path ordering 

Notes

Acknowledgments

This work was partially supported by JSPS Grant-in-Aid for Scientific Research (C), No. 19500020.

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Copyright information

© Springer Science+Business Media B.V 2009

Authors and Affiliations

  • Haruhiko Sato
    • 1
  • Masahito Kurihara
    • 1
  1. 1.Graduate School of Information Science and TechnologyHokkaido UniversityJapan

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