Semantical analysis of weak Kleene logics

Journal of Applied Non-Classical Logics 29 (1):1-36 (2019)
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Abstract

This paper presents a semantical analysis of the Weak Kleene Logics Kw3 and PWK from the tradition of Bochvar and Halldén. These are three-valued logics in which a formula takes the third value if at least one of its components does. The paper establishes two main results: a characterisation result for the relation of logical con- sequence in PWK – that is, we individuate necessary and sufficient conditions for a set

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Massimiliano Carrara
University of Padua

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