Time-Bounded Verification*

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Time-Bounded Verification*

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1 Oxford University Computing Laboratory, UK. {joel,jbw}@comlab.ox.ac. ... lems for timed automata over time intervals of fixed, bounded length. One of our main ...

Time-Bounded Verification? Jo¨el Ouaknine1 , Alexander Rabinovich2 , and James Worrell1 1

2

Oxford University Computing Laboratory, UK {joel,jbw}@comlab.ox.ac.uk School of Computer Science, Tel Aviv University, Israel [email protected]

Abstract. We study the decidability and complexity of verification problems for timed automata over time intervals of fixed, bounded length. One of our main results is that time-bounded language inclusion for timed automata is 2EXPSPACE-Complete. We also investigate the satisfiability and model-checking problems for Metric Temporal Logic (MTL), as well as monadic first- and second-order logics over the reals with order and the +1 function (FO(