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A Rule-Extension of the Non-Associative Lambek Calculus
Authors:Wansing  Heinrich
Affiliation:(1) Institute of Philosophy, Dresden University of Technology, 01062 Dresden, Germany
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.
Keywords:Categorial Grammar  Lambek Calculus  coimplication
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