Software and Computational Systems Lab

Publications about Büchi Automata

1. Marek Jankola and Jan Strejček. Tighter Construction of Tight Büchi Automata. 2024. Springer. Keyword(s): Büchi Automata PDF
   Abstract

   Tight automata are useful in providing the shortest coun- terexample in LTL model checking and also in constructing a maximally satisfying strategy in LTL strategy synthesis. There exists a translation of LTL formulas to tight Büchi automata and several translations of Büchi automata to equivalent tight Büchi automata. This paper presents an- other translation of Büchi automata to equivalent tight Büchi automata. The translation is designed to produce smaller tight automata and it asymptotically improves the best-known upper bound on the size of a tight Büchi automaton equivalent to a given Büchi automaton. We also provide a lower bound, which is more precise than the previously known one. Further, we show that automata reduction methods based on quo- tienting preserve tightness. Our translation was implemented in a tool called Tightener. Experimental evaluation shows that Tightener usually produces smaller tight automata than the translation from LTL to tight automata known as CGH.
   BibTeX Entry

   @inproceedings{JankolaFOSSACS2024, author = {Marek Jankola and Jan Strejček}, title = {Tighter Construction of Tight Büchi Automata}, year = {2024}, publisher = {Springer}, pdf = {https://www.sosy-lab.org/research/pub/2024-FOSSACS.Tighter_Construction_of_Tight_Buchi_Automata.pdf}, abstract = {Tight automata are useful in providing the shortest coun- terexample in LTL model checking and also in constructing a maximally satisfying strategy in LTL strategy synthesis. There exists a translation of LTL formulas to tight Büchi automata and several translations of Büchi automata to equivalent tight Büchi automata. This paper presents an- other translation of Büchi automata to equivalent tight Büchi automata. The translation is designed to produce smaller tight automata and it asymptotically improves the best-known upper bound on the size of a tight Büchi automaton equivalent to a given Büchi automaton. We also provide a lower bound, which is more precise than the previously known one. Further, we show that automata reduction methods based on quo- tienting preserve tightness. Our translation was implemented in a tool called Tightener. Experimental evaluation shows that Tightener usually produces smaller tight automata than the translation from LTL to tight automata known as CGH.}, keyword = {Büchi Automata}, }