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On Self-Admissible Quasi-Characterizing Inference Rules

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Abstract

We study quasi-characterizing inference rules (this notion was introduced into consideration by A. Citkin (1977). The main result of our paper is a complete description of all self-admissible quasi-characterizing inference rules. It is shown that a quasi-characterizing rule is self-admissible iff the frame of the algebra generating this rule is not rigid. We also prove that self-admissible rules are always admissible in canonical, in a sense, logics S4 or IPC regarding the type of algebra generating rules.

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Authors and Affiliations

  1. Department of Mathematics, Krasnoyarsk University, pr. Svobodnyi 79 660, 062, Krasnoyarsk, Russia

    V. V. Rybakov

  2. Department of Mathematics Science Faculty, Ege University, Bornova-Izmir, 35100, Turkey

    M. Terziler & C. Gencer

Authors
  1. V. V. Rybakov
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  2. M. Terziler
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  3. C. Gencer
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Rybakov, V.V., Terziler, M. & Gencer, C. On Self-Admissible Quasi-Characterizing Inference Rules. Studia Logica 65, 417–428 (2000). https://doi.org/10.1023/A:1005244015730

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