On the complexity of higher-order matching in the linear λ-calculus

  • Authors:
  • Sylvain Salvati;Philippe De Groote

  • Affiliations:
  • LORIA UMR, INRIA, Vandoeuvre lès Nancy Cedex, France;LORIA UMR, INRIA, Vandoeuvre lès Nancy Cedex, France

  • Venue:
  • RTA'03 Proceedings of the 14th international conference on Rewriting techniques and applications
  • Year:
  • 2003

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Abstract

We prove that linear second-order matching in the linear λ-calculus with linear occurrences of the unknowns is NP-complete. This result shows that context matching and second-order matching in the linear λ-calculus are, in fact, two different problems.