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Tensed Ontology Based on Simple Partial Logic


Daisuke Kachi

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Return to Temporal Logic in Computer Science 2


Abstract

Simple partial logic (SPL) is, broadly speaking, an extensional logic which allows for the truth-value gap. First I give a system of propositional SPL by partializing classical logic, as well as extending it with several non-classical truth-functional operators. Second I show a way based on SPL to construct a system of tensed ontology, by representing tensed statements as two kinds of necessary statements in a linear model that consists of the present and future worlds. Finally I compare that way with other two ways based on Lukasiewicz's three-valued logic and branching temporal logic.


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