Publication details

One Theorem to Rule Them All: A Unified Translation of LTL into ω-Automata

Authors

ESPARZA Javier KŘETÍNSKÝ Jan SICKERT Salomon

Year of publication 2018
Type Article in Proceedings
Conference Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2018, Oxford, UK, July 09-12, 2018
MU Faculty or unit

Faculty of Informatics

Citation
Doi https://doi.org/10.1145/3209108.3209161
Description We present a unified translation of LTL formulas into deterministic Rabin automata, limit-deterministic Büchi automata, and nondeterministic Büchi automata. The translations yield automata of asymptotically optimal size (double or single exponential, respectively). All three translations are derived from one single Master Theorem of purely logical nature. The Master Theorem decomposes the language of a formula into a positive boolean combination of languages that can be translated into -automata by elementary means. In particular, Safra's, ranking, and breakpoint constructions used in other translations are not needed.

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