Model Checking Quantified Computation Tree Logic

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Model Checking Quantified Computation Tree Logic
Propositional temporal logic is not suitable for expressing properties on the evolution of dynamically allocated entities over time. In particular, it is not possible to trace such entities through computation steps, since this requires the ability to freely mix quantification and temporal operators. In this paper we study Quantified Computation Tree Logic (QCTL), which extends the well-known propositional computation tree logic, PCTL, with first and (monadic) second order quantification. The semantics of QCTL is expressed on automata, which are automata enriched with abstract algebras at each state, and with reallocations at each transition that express an injective renaming of the algebra elements from one state to the next. The reallocations enable minimization of the automata modulo bisimilarity, essentially through symmetry reduction. Our main result is to show that each combination of a QCTL formula and a finite algebra automaton can be transformed to an equivalent PCTL formula o...
Arend Rensink
Added 13 Oct 2010
Updated 13 Oct 2010
Type Conference
Year 2006
Authors Arend Rensink
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