Faster basic syntactic mutation with sorts for some separable equational theories

  • Authors:
  • Christopher Lynch;Barbara Morawska

  • Affiliations:
  • Department of Computer Science, Clarkson University, Potsdam, NY;Chair for Automata Theory, Institute for Theoretical Computer Science, Dresden University of Technology, Germany

  • Venue:
  • RTA'05 Proceedings of the 16th international conference on Term Rewriting and Applications
  • Year:
  • 2005

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Abstract

Sorting information arises naturally in E-unification problems. This information is used to rule out invalid solutions. We show how to use sorting information to make E-unification procedures more efficient. We illustrate our ideas using Basic Syntactic Mutation. We give classes of problems where E-unification becomes polynomial. We show how E-unification can be separated into a polynomial part and a more complicated part using a specialized algorithm. Our approach is motivated by a real problem arising from Cryptographic Protocol Verification.