Article
Details
Citation
Milne P (2016) A non-classical refinement of the interpolation property for classical propositional logic. Logique et Analyse, 59 (235), pp. 273-281. http://virthost.vub.ac.be/lnaweb/ojs/index.php/LogiqueEtAnalyse/article/view/1856; https://doi.org/10.2143/LEA.235.0.3170109
Abstract
We refine the interpolation property of the {^, v, ¬}-fragment of classical propositional logic, showing that if /|= ¬Φ, and /|= Ψ then there is an interpolant Χ constructed using at most atomic formulas occurring in both Φ and Ψ and negation, conjunction and disjunction, such that (i) Φ entails Χ in Kleene’s strong three-valued logic and (ii) Χ entails Ψ in Priest’s Logic of Paradox.
Keywords
Interpolation theorem for classical propositional logic; Kleene’s strong 3-valued logic; Priest’s Logic of Paradox
Journal
Logique et Analyse: Volume 59, Issue 235
Status | Published |
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Publication date | 30/09/2016 |
Date accepted by journal | 05/12/2014 |
URL | http://hdl.handle.net/1893/23248 |
Publisher | Peeters-Leuven |
Publisher URL | http://virthost.vub.ac.be/…rticle/view/1856 |
ISSN | 0024-5836 |
People (1)
Emeritus Professor, Philosophy