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Combining Decision Procedures for Positive Theories Sharing Constructors

  • Franz Baader
  • Cesare Tinelli
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2378)

Abstract

This paper addresses the following combination problem: given two equational theories E 1 and E 2 whose positive theories are decidable, how can one obtain a decision procedure for the positive theory of E 1E 2? For theories over disjoint signatures, this problem was solved by Baader and Schulz in 1995. This paper is a first step towards extending this result to the case of theories sharing constructors. Since there is a close connection between positive theories and unification problems, this also extends to the non-disjoint case the work on combining decision procedures for unification modulo equational theories.

Keywords

Word Problem Decision Procedure Equational Theory Positive Theory Free Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Franz Baader
    • 1
  • Cesare Tinelli
    • 2
  1. 1.TU DresdenGermany
  2. 2.University of IowaUSA

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