A Labelled Deductive System for Relational Semantics of the Lambek Calculus

Mathematical Logic Quarterly 45 (1):51-58 (1999)
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Abstract

We present a labelled version of Lambek Calculus without unit, and we use it to prove a completeness theorem for Lambek Calculus with respect to some relational semantics

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10.1002/malq.19990450105

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References found in this work

The Mathematics of Sentence Structure.Joachim Lambek - 1958 - Journal of Symbolic Logic 65 (3):154-170.
Language in action.Johan Van Benthem - 1991 - Journal of Philosophical Logic 20 (3):225-263.
Mathematical linguistics and proof theory.Wojciech Buszkowski - 1997 - In J. F. A. K. Van Benthem, Johan van Benthem & Alice G. B. Ter Meulen (eds.), Handbook of Logic and Language. Elsevier. pp. 683--736.
Completeness Results for Lambek Syntactic Calculus.Wojciech Buszkowski - 1986 - Mathematical Logic Quarterly 32 (1‐5):13-28.
Completeness Results for Lambek Syntactic Calculus.Wojciech Buszkowski - 1986 - Mathematical Logic Quarterly 32 (1-5):13-28.

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