On extensions of intermediate logics by strong negation

Journal of Philosophical Logic 27 (1):49-73 (1998)
Abstract
In this paper we will study the properties of the least extension n(Λ) of a given intermediate logic Λ by a strong negation. It is shown that the mapping from Λ to n(Λ) is a homomorphism of complete lattices, preserving and reflecting finite model property, frame-completeness, interpolation and decidability. A general characterization of those constructive logics is given which are of the form n(Λ). This summarizes results that can be found already in [13, 14] and [4]. Furthermore, we determine the structure of the lattice of extensions of n(LC)
Keywords constructive logic  intuitionistic logic  Nelson algebras  lattices of logics
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Reprint years 2004
DOI 10.1023/A:1004222213212
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References found in this work BETA
Constructible Falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.
Nelson Algebras Through Heyting Ones: I.Andrzej Sendlewski - 1990 - Studia Logica 49 (1):105-126.

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Citations of this work BETA
On Axiomatizing Shramko-Wansing's Logic.Sergei P. Odintsov - 2009 - Studia Logica 91 (3):407 - 428.
Extensions of Priest-da Costa Logic.Thomas Macaulay Ferguson - 2014 - Studia Logica 102 (1):145-174.

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