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

References found in this work

Introduction to Metamathematics.Stephen Cole Kleene - 1952 - Princeton, NJ, USA: North Holland.
In Contradiction: A Study of the Transconsistent.Graham Priest - 1987 - Dordrecht, Netherland: Oxford University Press.
Past, Present and Future.Arthur N. Prior - 1967 - Oxford, England: Clarendon Press.

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