On a Three-Valued Logic with Blamey’s Interjunction for the Formal Description of Atomic Transactions

Axiomathes 30 (2):177-191 (2020)
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Abstract

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 of an atomic transaction. Finally, the article explains the philosophical significance of the introduced logic.

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References found in this work

The thought: A logical inquiry.Gottlob Frege - 1956 - Mind 65 (259):289-311.
Many-valued logics.Grzegorz Malinowski - 1993 - New York: Oxford University Press. Edited by L. Goble.
Deviant logic, fuzzy logic: beyond the formalism.Susan Haack - 1974 - Chicago: University of Chicago Press. Edited by Susan Haack.
Many-Valued Logic.Nicholas Rescher - 1970 - British Journal for the Philosophy of Science 21 (4):405-406.
Topics in philosophical logic.Nicholas Rescher - 1969 - Dordrecht,: D. Reidel.

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