Correctness of Multiplicative Proof Nets is Linear

  • Authors:
  • Stefano Guerrini

  • Affiliations:
  • -

  • Venue:
  • LICS '99 Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 1999

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Abstract

We reformulate Danos contractibility criterion in terms of a sort of unification. As for term unification, a direct implementation of the unification criterion leads to a quasi-linear algorithm. Linearity is obtained after observing that the disjoint-set union-find at the core of the unification criterion is a special case of union-find with a real linear time solution.