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On the completeness of the Lambek calculus with respect to relativized relational semantics
Journal of Logic, Language and Information 3 (3):233-246 (1994)
Abstract
Recently M. Szabolcs [12] has shown that many substructural logics including Lambek CalculusL are complete with respect to relativized Relational Semantics. The current paper proves that it is sufficient forL to consider a relativization to the relation x dividesy in some fixed semigroupG.My notes
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Citations of this work
Models for the Lambek calculus.Mati Pentus - 1995 - Annals of Pure and Applied Logic 75 (1-2):179-213.
A Labelled Deductive System for Relational Semantics of the Lambek Calculus.Miroslawa Kolowska-Gawiejnowicz - 1999 - Mathematical Logic Quarterly 45 (1):51-58.
References found in this work
The Mathematics of Sentence Structure.Joachim Lambek - 1958 - Journal of Symbolic Logic 65 (3):154-170.
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.
A brief survey of frames for the Lambek calculus.Kosta Došen - 1992 - Mathematical Logic Quarterly 38 (1):179-187.
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