Abstract:Temporal reasoning can be formalised by various systems of temporal logic, which has been broadly applied in formal verification via model checking and in other computer science fields. Temporal logic...Temporal reasoning can be formalised by various systems of temporal logic, which has been broadly applied in formal verification via model checking and in other computer science fields. Temporal logic usually builds upon classical logic; however temporal propositions are not necessarily crisply true or false as Arthur Prior, a founder of temporal logic, used an intermediate truth value in his discussion on the so-called master argument. In this paper we develop fuzzy temporal logic, namely a temporal logical system that allows for intermediate truth values. Specifically, we develop temporal logic on the basis of Lukasiewicz logic (one of the most traditional fuzzy logical systems), and prove its fundamental properties such as completeness, the finite model property and decidability. We finally analyse Prior's discussion on the master argument by applying fuzzy temporal logic developed in this paper.Read More
Publication Year: 2023
Publication Date: 2023-08-13
Language: en
Type: article
Indexed In: ['crossref']
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