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Matematicheskie Zametki, 2012, Volume 91, Issue 3, Pages 331–346
DOI: https://doi.org/10.4213/mzm9138 (Mi mzm9138) 		 
This article is cited in 20 scientific papers (total in 20 papers)

On the Positive Fragment of the Polymodal Provability Logic $\mathbf{GLP}$

E. V. Dashkov

M. V. Lomonosov Moscow State University
Full-text PDF (571 kB) Citations (20)
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DOI: https://doi.org/10.4213/mzm9138
Abstract: The fragment of the polymodal provability logic $\mathbf{GLP}$ in the language with connectives $\top$, $\wedge$, and $\langle n\rangle$ for all $n\in\omega$ is considered. For this fragment, a deductive system it constructed, a Kripke semantics is proposed, and a polynomial bound for the complexity of a decision procedure is obtained.
Keywords: modal logic, graded provability logic $\mathbf{GLP}$, equational calculus, deductive system, Kripke semantics, complexity of a decision procedure.
Received: 24.04.2011
Revised: 17.07.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 318–333
DOI: https://doi.org/10.1134/S0001434612030029
Bibliographic databases:
Document Type: Article
UDC: 510
Language: Russian
Citation: E. V. Dashkov, “On the Positive Fragment of the Polymodal Provability Logic $\mathbf{GLP}$”, Mat. Zametki, 91:3 (2012), 331–346; Math. Notes, 91:3 (2012), 318–333
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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