Automata with Generalized Rabin Pairs for Probabilistic Model Checking and LTL Synthesis

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Authors

CHATTERJEE Krishnendu GAISER Andreas KŘETÍNSKÝ Jan

Year of publication 2013
Type Article in Proceedings
Conference Computer Aided Verification - 25th International Conference, CAV 2013
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1007/978-3-642-39799-8_37
Field Informatics
Keywords linear temporal logic; automata; determinism; synthesis; probabilistic model checking
Description The model-checking problem for probabilistic systems crucially relies on the translation of LTL to deterministic Rabin automata (DRW). Our recent Safraless translation for the LTL(F,G) fragment produces smaller automata as compared to the traditional approach. In this work, instead of DRW we consider deterministic automata with acceptance condition given as disjunction of generalized Rabin pairs (DGRW). The Safraless translation of LTL(F,G) formulas to DGRW results in smaller automata as compared to DRW. We present algorithms for probabilistic model-checking as well as game solving for DGRW conditions. Our new algorithms lead to improvement both in terms of theoretical bounds as well as practical evaluation. We compare PRISM with and without our new translation, and show that the new translation leads to significant improvements.
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