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Finitely generated free Heyting algebras
Journal of Symbolic Logic 51 (1):152-165 (1986)
Abstract
The aim of this paper is to give, using the Kripke semantics for intuitionism, a representation of finitely generated free Heyting algebras. By means of the representation we determine in a constructive way some set of "special elements" of such algebras. Furthermore, we show that many algebraic properties which are satisfied by the free algebra on one generator are not satisfied by free algebras on more than one generatorLinks
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Citations of this work
Unification, finite duality and projectivity in varieties of Heyting algebras.Silvio Ghilardi - 2004 - Annals of Pure and Applied Logic 127 (1-3):99-115.
Hereditarily Structurally Complete Intermediate Logics: Citkin’s Theorem Via Duality.Nick Bezhanishvili & Tommaso Moraschini - 2023 - Studia Logica 111 (2):147-186.
On Bellissima’s construction of the finitely generated free Heyting algebras, and beyond.Luck Darnière & Markus Junker - 2010 - Archive for Mathematical Logic 49 (7-8):743-771.
Criteria for admissibility of inference rules. Modal and intermediate logics with the branching property.Vladimir V. Rybakov - 1994 - Studia Logica 53 (2):203 - 225.
Free equivalential algebras.Katarzyna Słomczyńska - 2008 - Annals of Pure and Applied Logic 155 (2):86-96.
References found in this work
Distributive Lattices.Raymond Balbes & Philip Dwinger - 1977 - Journal of Symbolic Logic 42 (4):587-588.
An Algebraic Approach to Non-Classical Logics.Anne Preller - 1977 - Journal of Symbolic Logic 42 (3):432-432.
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