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A propositional logic of temporal connectives

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Epstein R. L., Buitrago-Díaz E.
Logic and Logical Philosophy
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2015
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vol. 24
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issue 2
155–200
EN
We investigate how to formalize reasoning that takes account of time by using connectives like “before” and “after.” We develop semantics for a formal logic, which we axiomatize. In proving that the axiomatization is strongly complete we show how a temporal ordering of propositions can yield a linear timeline. We formalize examples of ordinary language sentences to illustrate the scope and limitations of this method. We then discuss ways to deal with some of those limitations.
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