2014/01/21 by Sven Schewe, Thomas Varghese · 1 citation
Computer Science · #cs.FL #cs.GT
paper · pdf · doi:10.1007/978-3-662-44522-8_41
published as Proceedings of MFCS 2014, Springer-Verlag Lecture Notes in Computer Science Vol. 8634(1): pp 486-498
arxiv created 2014/01/21 · arxiv updated 2014/09/12
Parity word automata and their determinisation play an important role in automata and game theory. We discuss a determinisation procedure for nondeterministic parity automata through deterministic Rabin to deterministic parity automata. We prove that the intermediate determinisation to Rabin automata is optimal. We show that the resulting determinisation to parity automata is optimal up to a small constant. Moreover, the lower bound refers to the more liberal Streett acceptance. We thus show that determinisation to Streett would not lead to better bounds than determinisation to parity. As a side-result, this optimality extends to the determinisation of Büchi automata.