Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 1, Pages 26–33 (Mi vmumm596)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Deduction normalization theorem for Sette's logic and its modifications

Ya. I. Petrukhin

Lomonosov Moscow State University, Faculty of Philosophy
Full-text PDF (260 kB) Citations (3)
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Abstract: In this paper we formulate natural deduction systems for Sette's three-valued paraconsistent logic $\bf P^1$ and some related logics. For presented calculi we prove soundness, completeness, and normalization theorems.
Key words: normalization, natural deduction system, three-valued logic, four-valued logic, paraconsistent logic, paracomplete logic.
Received: 01.12.2017
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 1, Pages 25–31
DOI: https://doi.org/10.3103/S0027132219010054
Bibliographic databases:
Document Type: Article
UDC: 510.644
Language: Russian
Citation: Ya. I. Petrukhin, “Deduction normalization theorem for Sette's logic and its modifications”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 1, 26–33; Moscow University Mathematics Bulletin, 74:1 (2019), 25–31
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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