Decidable matching for convergent systems

Preliminary Version
  • Nachum Dershowitz
  • Subrata Mitra
  • G. Sivakumar
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 607)


We provide a simple system, based on transformation rules, which is complete for certain classes of semantic matching problems, where the equational theory with respect to which the semantic matching is performed has a convergent rewrite system. We also use this transformation system to describe decision procedures for semantic matching problems. We give counterexamples to show that semantic matching becomes undecidable (as it generally is) when the conditions we give are weakened. Our main result pertains to convergent systems with variable preserving rules, with some particular patterns of defined functions on the right hand sides.


Normal Form Decision Procedure Transformation Rule Function Symbol Match Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Nachum Dershowitz
    • 1
  • Subrata Mitra
    • 1
  • G. Sivakumar
    • 2
  1. 1.Department of Computer ScienceUniversity of IllinoisUrbanaUSA
  2. 2.Department of Computer ScienceIndian Institute of TechnologyBombayIndia

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