Abstract
We introduce a methodology whereby an arbitrary logic system L can be enriched with temporal features to create a new system T(L). The new system is constructed by combining L with a pure propositional temporal logic T (such as linear temporal logic with “Since” and “Until”) in a special way. We refer to this method as “adding a temporal dimension to L” or just “temporalising L”. We show that the logic system T(L) preserves several properties of the original temporal logic like soundness, completeness, decidability, conservativeness and separation over linear flows of time. We then focus on the temporalisation of first-order logic, and a comparison is make with other first-order approaches to the handling of time.
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Finger, M., Gabbay, D.M. Adding a temporal dimension to a logic system. J Logic Lang Inf 1, 203–233 (1992). https://doi.org/10.1007/BF00156915
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DOI: https://doi.org/10.1007/BF00156915