Abstract
Nonmonotonic reasoning has been proposed as an extension to classical first-order logic. Now people are interested in temporal reasoning with nonmonotonic logic [6]. We combine the monotonic logic [7] with a temporal logic to get a more general reasoning language. We discuss a monotonic logic TML which has predicate formulas, temporal formulas and a special modal formula, and give a completeness theorem of it. We use TH(Δ) to designate the set of theorems of a temporal-nonmonotonic theory Δ which has the same language with TML. The completeness theorem of the temporal-nonmonotonic logic naturally arises. Like the relationship between predicate logic with a practical logic programming language PROLOG, we propose a useful temporal-nonmonotonic reasoning language TN for the temporal-nonmonotonic logic. As an appendix we supply an algorithm for the programming language TN.
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Tang, T.G. Programming in temporal-nonmonotonic reasoning. J Autom Reasoning 7, 383–401 (1991). https://doi.org/10.1007/BF00249021
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DOI: https://doi.org/10.1007/BF00249021