Stratified Context Unification Is in PSPACE

  • Authors:
  • Manfred Schmidt-Schauß

  • Affiliations:
  • -

  • Venue:
  • CSL '01 Proceedings of the 15th International Workshop on Computer Science Logic
  • Year:
  • 2001

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Abstract

Context unification is a variant of second order unification and also a generalization of string unification. Currently it is not known whether context unification is decidable. A decidable specialization of context unification is stratified context unification, which is equivalent to satisfiability of one-step rewrite constraints. This paper contains an optimization of the decision algorithm, which shows that stratified context unification can be done in polynomial space.