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Sbornik: Mathematics, 2011, Volume 202, Issue 5, Pages 683–695
DOI: https://doi.org/10.1070/SM2011v202n05ABEH004161 (Mi sm7665) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On symbolic models for Single-Conclusion Logic of Proofs

V. N. Krupski

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (282 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2011v202n05ABEH004161
Abstract: In this paper we define symbolic models for Single-Conclusion Logics of Proofs. We prove the soundness and completeness of these logics with respect to the corresponding classes of symbolic models. We apply the semantic methods developed in this paper to justify the use of terms of single-conclusion logic of proofs as notation for derivations in this logic.
Bibliography: 17 titles.
Keywords: formal derivation, proof predicate, single-conclusion logic of proofs, Mkrtychev models, internalization property.
Received: 13.12.2009
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 5, Pages 63–76
DOI: https://doi.org/10.4213/sm7665
Bibliographic databases:
Document Type: Article
UDC: 510.64+510.67
MSC: 03F45
Language: English
Original paper language: Russian
Citation: V. N. Krupski, “On symbolic models for Single-Conclusion Logic of Proofs”, Mat. Sb., 202:5 (2011), 63–76; Sb. Math., 202:5 (2011), 683–695
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v202/i5/p63
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:452
    Russian version PDF:216
    English version PDF:9
    References:41
    First page:18
     
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