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Studia Logica

, Volume 71, Issue 3, pp 355–388 | Cite as

Classical Non-Associative Lambek Calculus

  • Philippe de Groote
  • François Lamarche
Article

Abstract

We introduce non-associative linear logic, which may be seen as the classical version of the non-associative Lambek calculus. We define its sequent calculus, its theory of proof-nets, for which we give a correctness criterion and a sequentialization theorem, and we show proof search in it is polynomial.

non-associative Lambek calculus linear logic proof-net 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Philippe de Groote
    • 1
  • François Lamarche
    • 1
  1. 1.Projet CalligrammeLORIA UMR no 7503 — INRIA, Campus ScientifiqueVandœuvre lès Nancy CedexFrance

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