On word problems in Horn theories

  • Emmanuel Kounalis
  • Michael Rusinowitch
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 310)


We interpret Horn clauses as conditional rewrite rules. Then we give sufficient conditions so that the word problem can be decided by conditional normalization in some Horn theory. We also show how to prove theorems in the initial models of Horn theories.


Horn clause resolution term-rewriting system word problems initial model inductionless induction 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Emmanuel Kounalis
    • 1
  • Michael Rusinowitch
    • 2
  1. 1.LRI Universite de Paris-SudOrsay CedexFrance
  2. 2.CRIN Campus Scientifique BP 239Vandoeuvre les NancyFrance

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