Natural Deduction for Post’s Logics and their Duals

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

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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Natural Deduction for Three-Valued Regular Logics.Yaroslav Petrukhin - 2017 - Logic and Logical Philosophy 26 (2):197–206.
An Axiomatisation of the Conditionals of Post's Many Valued Logics.Stan J. Surma - 1995 - Mathematical Logic Quarterly 41 (3):369-372.
Post Completeness in Congruential Modal Logics.Peter Fritz - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11. College Publications. pp. 288-301.
Fitch-style natural deduction for modal paralogics.Hans Lycke - 2009 - Logique Et Analyse 52 (207):193-218.
The Geometry of Negation.Massimo Warglien & Achille C. Varzi - 2003 - Journal of Applied Non-Classical Logics 13 (1):9-19.
Finite-valued reductions of infinite-valued logics.Aguzzoli Stefano & Gerla Brunella - 2002 - Archive for Mathematical Logic 41 (4):361-399.
Relational proof system for relevant logics.Ewa Orlowska - 1992 - Journal of Symbolic Logic 57 (4):1425-1440.

Analytics

Added to PP
2018-03-29

Downloads
21 (#718,251)

6 months
7 (#411,886)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Yaroslav Petrukhin
Moscow State University

Citations of this work

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

Add more citations