Abstract

It is well-known that model-checking and satisfiability for PLTL are PSPACE-complete. By contrast, very little is known about whether there exist some interesting fragments of PLTL with a lower worst-case complexity. Such results would help understand why PLTL model-checkers are successfully used in practice.In this paper we investigate this issue and consider model-checking and satisfiability for all fragments of PLTL one obtains when restrictions are put on (1) the temporal connectives allowed, (2) the number of atomic propositions, and (3) the temporal height.KeywordsModal LogicTemporal LogicLinear Temporal LogicPropositional VariableAtomic PropositionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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