Automata with generalized Rabin pairs for probabilistic model checking and LTL synthesis

K. Chatterjee, A. Gaiser, J. Kretinsky, 8044 (2013) 559–575.


Conference Paper | Published | English
Department
Series Title
LNCS
Abstract
The model-checking problem for probabilistic systems crucially relies on the translation of LTL to deterministic Rabin automata (DRW). Our recent Safraless translation [KE12, GKE12] 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.
Publishing Year
Date Published
2013-07-01
Volume
8044
Page
559 - 575
Conference
CAV: Computer Aided Verification
Conference Location
St. Petersburg, Russia
Conference Date
2013-07-13 – 2013-07-19
IST-REx-ID

Cite this

Chatterjee K, Gaiser A, Kretinsky J. Automata with generalized Rabin pairs for probabilistic model checking and LTL synthesis. 2013;8044:559-575. doi:10.1007/978-3-642-39799-8_37
Chatterjee, K., Gaiser, A., & Kretinsky, J. (2013). Automata with generalized Rabin pairs for probabilistic model checking and LTL synthesis. Presented at the CAV: Computer Aided Verification, St. Petersburg, Russia: Springer. https://doi.org/10.1007/978-3-642-39799-8_37
Chatterjee, Krishnendu, Andreas Gaiser, and Jan Kretinsky. “Automata with Generalized Rabin Pairs for Probabilistic Model Checking and LTL Synthesis.” Lecture Notes in Computer Science. Springer, 2013. https://doi.org/10.1007/978-3-642-39799-8_37.
K. Chatterjee, A. Gaiser, and J. Kretinsky, “Automata with generalized Rabin pairs for probabilistic model checking and LTL synthesis,” vol. 8044. Springer, pp. 559–575, 2013.
Chatterjee K, Gaiser A, Kretinsky J. 2013. Automata with generalized Rabin pairs for probabilistic model checking and LTL synthesis. 8044, 559–575.
Chatterjee, Krishnendu, et al. Automata with Generalized Rabin Pairs for Probabilistic Model Checking and LTL Synthesis. Vol. 8044, Springer, 2013, pp. 559–75, doi:10.1007/978-3-642-39799-8_37.

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