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arXiv · 2010.03185

QCTL model-checking with QBF solvers

A. Hossain·F. Laroussinie
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Abstract

Quantified CTL (QCTL) extends the temporal logic CTL with quantifications over atomic propositions. This extension is known to be very expressive: QCTL allows us to express complex properties over Kripke structures (it is as expressive as MSO). Several semantics exist for the quantifications: here, we work with the structure semantics, where the extra propositions label the Kripke structure (and not its execution tree), and the model-checking problem is known to be PSPACE-complete in this framework. We propose a new model-checking algorithm for QCTL based on a reduction to QBF. We consider several reduction strategies and we compare them with a prototype (based on several QBF solvers) on different examples.

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A. Hossain, F. Laroussinie. 2020-10-06. QCTL model-checking with QBF solvers. https://arxiv.org/abs/2010.03185

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