Studia Logica

, Volume 71, Issue 3, pp 443–451 | Cite as

A Rule-Extension of the Non-Associative Lambek Calculus

  • Heinrich Wansing

Abstract

An extension L+ of the non-associative Lambek calculus Lis defined. In L+ the restriction to formula-conclusion sequents is given up, and additional left introduction rules for the directional implications are introduced. The system L+ is sound and complete with respect to a modification of the ternary frame semantics for L.

Categorial Grammar Lambek Calculus coimplication 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Heinrich Wansing
    • 1
  1. 1.Institute of PhilosophyDresden University of TechnologyDresdenGermany

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