A feasible algorithm for typing in elementary affine logic

  • Authors:
  • Patrick Baillot;Kazushige Terui

  • Affiliations:
  • Laboratoire d'Informatique de Paris-Nord / CNRS, Université Paris-Nord, France;National Institute of Informatics, Tokyo, Japan

  • Venue:
  • TLCA'05 Proceedings of the 7th international conference on Typed Lambda Calculi and Applications
  • Year:
  • 2005

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Abstract

We give a new type inference algorithm for typing lambda-terms in Elementary Affine Logic (EAL), which is motivated by applications to complexity and optimal reduction. Following previous references on this topic, the variant of EAL type system we consider (denoted EAL*) is a variant where sharing is restricted to variables and without polymorphism. Our algorithm improves over the ones already known in that it offers a better complexity bound: if a simple type derivation for the term t is given our algorithm performs EAL* type inference in polynomial time in the size of the derivation.