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Distributive Full Lambek Calculus Has the Finite Model Property
Studia Logica 91 (2):201-216 (2009)
Abstract
We prove the Finite Model Property (FMP) for Distributive Full Lambek Calculus ( DFL ) whose algebraic semantics is the class of distributive residuated lattices ( DRL ). The problem was left open in [8, 5]. We use the method of nuclei and quasi–embedding in the style of [10, 1].My notes
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Citations of this work
The Lambek Calculus Extended with Intuitionistic Propositional Logic.Michael Kaminski & Nissim Francez - 2016 - Studia Logica 104 (5):1051-1082.
The finite model property for semilinear substructural logics.San-Min Wang - 2013 - Mathematical Logic Quarterly 59 (4-5):268-273.
Modality, Semantics and Interpretations: The Second Asian Workshop on Philosophical Logic.Shier Ju, Hu Liu & Hiroakira Ono (eds.) - 2015 - Heidelberg, Germany: Springer.
References found in this work
Adding involution to residuated structures.Nikolaos Galatos & James G. Raftery - 2004 - Studia Logica 77 (2):181 - 207.
The finite model property for various fragments of intuitionistic linear logic.Mitsuhiro Okada & Kazushige Terui - 1999 - Journal of Symbolic Logic 64 (2):790-802.
Algebraic aspects of cut elimination.Francesco Belardinelli, Peter Jipsen & Hiroakira Ono - 2004 - Studia Logica 77 (2):209 - 240.
Gentzenization and decidability of some contraction-less relevant logics.Ross T. Brady - 1991 - Journal of Philosophical Logic 20 (1):97 - 117.
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