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Constructive canonicity in non-classical logics
Annals of Pure and Applied Logic 86 (1):1-32 (1997)
Abstract
Sufficient syntactic conditions for canonicity in intermediate and intuitionistic modal logics are given. We present a new technique which does not require semantic first-order reduction and which is constructive in the sense that it works in an intuitionistic metatheory through a model without points which is classically isomorphic to the usual canonical modelMy notes
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Citations of this work
Algorithmic correspondence and canonicity for non-distributive logics.Willem Conradie & Alessandra Palmigiano - 2019 - Annals of Pure and Applied Logic 170 (9):923-974.
Elementary canonical formulae: extending Sahlqvist’s theorem.Valentin Goranko & Dimiter Vakarelov - 2006 - Annals of Pure and Applied Logic 141 (1):180-217.
A Sahlqvist theorem for distributive modal logic.Mai Gehrke, Hideo Nagahashi & Yde Venema - 2004 - Annals of Pure and Applied Logic 131 (1-3):65-102.
Algorithmic correspondence and canonicity for distributive modal logic.Willem Conradie & Alessandra Palmigiano - 2012 - Annals of Pure and Applied Logic 163 (3):338-376.
Kripke completeness of strictly positive modal logics over meet-semilattices with operators.Stanislav Kikot, Agi Kurucz, Yoshihito Tanaka, Frank Wolter & Michael Zakharyaschev - 2019 - Journal of Symbolic Logic 84 (2):533-588.
References found in this work
A new proof of Sahlqvist's theorem on modal definability and completeness.G. Sambin & V. Vaccaro - 1989 - Journal of Symbolic Logic 54 (3):992-999.
The McKinsey axiom is not canonical.Robert Goldblatt - 1991 - Journal of Symbolic Logic 56 (2):554-562.
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