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An admissibility criterion for inference rules with metavariables in the modal logic S4.α N

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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.α 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.

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References

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Authors and Affiliations

  1. Krasnoyarsk State Pedagogical University, Krasnoyarsk, Russia

    A. N. Rutskii

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  1. A. N. Rutskii
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Original Russian Text Copyright © 2007 Rutskiĭ A. N.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 2, pp. 396–407, March–April, 2007.

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Rutskii, A.N. An admissibility criterion for inference rules with metavariables in the modal logic S4.α N . Sib Math J 48, 317–326 (2007). https://doi.org/10.1007/s11202-007-0033-1

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  • DOI: https://doi.org/10.1007/s11202-007-0033-1

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