Determinization and Limit-determinization of Emerson-Lei automata [article]

Tobias John, Simon Jantsch, Christel Baier, Sascha Klüppelholz
2021 arXiv   pre-print
We study the problem of determinizing ω-automata whose acceptance condition is defined on the transitions using Boolean formulas, also known as transition-based Emerson-Lei automata (TELA). The standard approach to determinize TELA first constructs an equivalent generalized Büchi automaton (GBA), which is later determinized. We introduce three new ways of translating TELA to GBA. Furthermore, we give a new determinization construction which determinizes several GBA separately and combines them
more » ... sing a product construction. An experimental evaluation shows that the product approach is competitive when compared with state-of-the-art determinization procedures. We also study limit-determinization of TELA and show that this can be done with a single-exponential blow-up, in contrast to the known double-exponential lower-bound for determinization. Finally, one version of the limit-determinization procedure yields good-for-MDP automata which can be used for quantitative probabilistic model checking.
arXiv:2106.15892v1 fatcat:rgx7n2ba6rbmvalnmyiktf5rxu