Mona: Monadic Second-Order Logic in Practice
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CIAA '00 Revised Papers from the 5th International Conference on Implementation and Application of Automata
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Bounded validity checking of interval duration logic
TACAS'05 Proceedings of the 11th international conference on Tools and Algorithms for the Construction and Analysis of Systems
On sampling abstraction of continuous time logic with durations
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
Hybrid Metric Propositional Neighborhood Logics with Interval Length Binders
Electronic Notes in Theoretical Computer Science (ENTCS)
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ICTAC'06 Proceedings of the Third international conference on Theoretical Aspects of Computing
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QDDC is a logic for specifying quantitative timing properties of reactive systems. An automata theoretic decision procedure for QDDC reduces each formula to a finite state automaton accepting precisely the models of the formula. This construction has been implemented into a validity/model checking tool for QDDC called DCVALID. Unfortunately, the size of the final automaton as well as the intermediate automata which are encountered in the construction can some times be prohibitively large. In this paper, we present some validity preserving transformations to QDDC formulae which result into more efficient construction of the formula automaton and hence reduce the validity checking time. The transformations can be computed in linear time. We provide a theoretical as well as an experimental analysis of the improvements in the formula automaton size and validity checking time due to our transformations.