The most natural, compositional, way of modeling real-time systems uses a dense domain for time. The satisfiability of timing constraints that are capable of expressing punctuality in this model, however, is known to be undecidable. We introduce a temporal language than can constrain the time difference between events only with finite, yet arbitrary, precision and show the resulting logic to be EXPSPACE-complete. This result allows us to develop an algorithm for the verification of timing properties of real-time systems with dense semantics.
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Categories and Subject Descriptors: D.3 [Programming Languages] -- real-time systems; D.2.1 [Software Engineering]: Requirements/Specifications -- languages; F.3.1 [Logics and Meanings of Programs]: Specifying and Verifying and Reasoning about Programs -- logics of programs, mechanical verification, specification techniques; F.4.3 [Mathematical Logic and Formal Languages]: Formal Languages -- classes defined by automata, decision problems
General Terms: Theory, Verification
Additional Key Words and Phrases: Model checking, real time, temporal logic, timed automata
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