The complexity of propositional linear temporal logics
Journal of the ACM (JACM)
The temporal logic of reactive and concurrent systems
The temporal logic of reactive and concurrent systems
The complexity of probabilistic verification
Journal of the ACM (JACM)
Temporal verification of reactive systems: safety
Temporal verification of reactive systems: safety
A temporal logic for proving properties of topologically general executions
Information and Computation
Reduction Theorems for Boolean Formulas Using Delta-Trees
JELIA '00 Proceedings of the European Workshop on Logics in Artificial Intelligence
A New Algebraic Tool for Automatic Theorem Provers
Annals of Mathematics and Artificial Intelligence
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Reduction strategies are introduced for the future fragment of a temporal propositional logic on linear discrete time, named FNext. These reductions are based on the information collected from the syntactic structure of the formula, which allows the development of efficient strategies to decrease the size of temporal propositional formulas, viz. new criteria to detect the validity or unsatisfiability of subformulas, and a strong generalisation of the pure literal rule. These results, used as an inner processing step, allow to improve the performance of any automated theorem prover.