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Sbornik: Mathematics, 2016, Volume 207, Issue 9, Pages 1344–1360
DOI: https://doi.org/10.1070/SM8667 (Mi sm8667) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A realization theorem for the Gödel-Löb provability logic

D. S. Shamkanov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (530 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/SM8667
Abstract: We present a new justification logic corresponding to the Gödel-Löb provability logic $\mathsf{GL}$ and prove the realization theorem connecting these two systems in such a way that all the realizations provided in the theorem are normal.
Bibliography: 9 titles.
Keywords: justification logic, provability logic, realization theorem, cyclic proofs.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant no.~14-50-00005.
Received: 04.02.2016
Bibliographic databases:
Document Type: Article
UDC: 510.6
MSC: 03B42, 03F07, 03F45
Language: English
Original paper language: Russian
Citation: D. S. Shamkanov, “A realization theorem for the Gödel-Löb provability logic”, Sb. Math., 207:9 (2016), 1344–1360
Citation in format AMSBIB
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\vol 207
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\pages 1344--1360
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  • https://www.mathnet.ru/eng/sm/v207/i9/p171
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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