Natural Deduction for Post’s Logics and their Duals

Logica Universalis 12 (1-2):83-100 (2018)

Abstract

In this paper, we introduce the notion of dual Post’s negation and an infinite class of Dual Post’s finitely-valued logics which differ from Post’s ones with respect to the definitions of negation and the sets of designated truth values. We present adequate natural deduction systems for all Post’s k-valued ) logics as well as for all Dual Post’s k-valued logics.

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Yaroslav Petrukhin
Moscow State University

References found in this work

An Algebraic Approach to Non-Classical Logics.Helena Rasiowa - 1974 - Amsterdam, Netherlands: Warszawa, Pwn - Polish Scientific Publishers.
Many-Valued Logic.Nicholas Rescher - 1970 - British Journal for the Philosophy of Science 21 (4):405-406.
Introduction to Logic.Alfons Borgers - 1961 - Journal of Symbolic Logic 35 (1):166.

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Citations of this work

Universal Logic: Evolution of a Project.Jean-Yves Beziau - 2018 - Logica Universalis 12 (1-2):1-8.

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