David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Symbolic Logic 65 (2):481-518 (2000)
This paper contains a joint study of two sentential logics that combine a many-valued character, namely tetravalence, with a modal character; one of them is normal and the other one quasinormal. The method is to study their algebraic counterparts and their abstract models with the tools of Abstract Algebraic Logic, and particularly with those of Brown and Suszko's theory of abstract logics as recently developed by Font and Jansana in their "A General Algebraic Semantics for Sentential Logics". The logics studied here arise from the algebraic and lattice-theoretical properties we review of Tetravalent Modal Algebras, a class of algebras studied mainly by Loureiro, and also by Figallo, Landini and Ziliani, at the suggestion of the late Antonio Monteiro
|Keywords||Abstract Logic Generalized Matrix Tetravalent Modal Algebra Four-Valued Modal Algebra De Morgan Algebra Three-Valued Lukasiewicz Algebra Four-Valued Logic Modal Logic Algebraizable Logic Full Model Strongly Adequate Gentzen Calculus|
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Sergio A. Celani (2011). Classical Modal De Morgan Algebras. Studia Logica 98 (1-2):251-266.
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