Generalized and formalized uncurrying

  • Authors:
  • Christian Sternagel;René Thiemann

  • Affiliations:
  • Institute of Computer Science, University of Innsbruck, Austria;Institute of Computer Science, University of Innsbruck, Austria

  • Venue:
  • FroCoS'11 Proceedings of the 8th international conference on Frontiers of combining systems
  • Year:
  • 2011

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Abstract

Uncurrying is a termination technique for applicative term rewrite systems. During our formalization of uncurrying in the theorem prover Isabelle, we detected a gap in the original pen-and-paper proof which cannot directly be filled without further preconditions. Our final formalization does not demand additional preconditions, and generalizes the existing techniques since it allows to uncurry non-applicative term rewrite systems. Furthermore, we provide new results on uncurrying for relative termination and for dependency pairs.