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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 396–407 (Mi smj33)  
This article is cited in 1 scientific paper (total in 1 paper)

An admissibility criterion for inference rules with metavariables in the modal logic $S4.\alpha_N$

A. N. Rutskii

Krasnoyarsk State Pedagogical University named after V. P. Astaf'ev
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Abstract: Using the criterion of this paper, we solve the substitution problem and obtain an algorithm for determining the solvability of logical equations in the modal logic $S4.\alpha_N$. Another corollary of the criterion is the solvability of the corresponding quasiequational theory of the free modal algebra whose signature is enriched with constants for the free generators.
Keywords: admissible inference rule, metavariable, modal logic, inference rule.
Received: 14.02.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 2, Pages 317–326
DOI: https://doi.org/10.1007/s11202-007-0033-1
Bibliographic databases:
UDC: 510.643
Language: Russian
Citation: A. N. Rutskii, “An admissibility criterion for inference rules with metavariables in the modal logic $S4.\alpha_N$”, Sibirsk. Mat. Zh., 48:2 (2007), 396–407; Siberian Math. J., 48:2 (2007), 317–326
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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