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  1. On the Methods of Constructing Hilbert-type Axiom Systems for Finite-valued Propositional Logics of Łukasiewicz.Mateusz M. Radzki - 2021 - History and Philosophy of Logic 43 (1):70-79.
    The article explores the following question: which among the most often examined in the literature method of constructing Hilbert-type axiom systems for finite-valued propositional logics of Łukasi...
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  • On a Three-Valued Logic with Blamey’s Interjunction for the Formal Description of Atomic Transactions.Mateusz M. Radzki - 2020 - Axiomathes 30 (2):177-191.
    The article demonstrates that to describe the property of atomicity of transactions in database systems, we need a three-valued logic with propositional connective characterized in the same way as Blamey’s interjunction. However, the article explains that since Blamey’s partial logic with interjunction is a logic without tautologies, it does not satisfy some salient conditions of being a logic of atomic transactions. The article introduces a logic of the considered kind, and provides an example of the formal exposition of the case (...)
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