A Gödel Calculus for Linear Temporal Logic
A Gödel Calculus for Linear Temporal Logic
We consider GTL, a variant of linear temporal logic based on Gödel-Dummett propositional logic. In recent work, we have shown this logic to enjoy natural semantics both as a fuzzy logic and as a superintuitionistic logic. Using semantical methods, the logic was shown to be PSPACE-complete. In this paper we provide a deductive calculus for GTL, and show this calculus to be sound and complete for the above-mentioned semantics.
FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Mathematics and Statistics, vagueness, Uncertainty, many-valued and fuzzy logics, Reasoning with time, space and perceptions, Logic in Computer Science (cs.LO)
FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Mathematics and Statistics, vagueness, Uncertainty, many-valued and fuzzy logics, Reasoning with time, space and perceptions, Logic in Computer Science (cs.LO)
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