Tsai, Ming-Hsien and Fogarty, Seth and Vardi, Moshe Y. and Tsay, Yih-Kuen - State of B\"uchi Complementation

lmcs:1059 - Logical Methods in Computer Science, December 18, 2014, Volume 10, Issue 4
State of B\"uchi Complementation

Authors: Tsai, Ming-Hsien and Fogarty, Seth and Vardi, Moshe Y. and Tsay, Yih-Kuen

Complementation of B\"uchi automata has been studied for over five decades since the formalism was introduced in 1960. Known complementation constructions can be classified into Ramsey-based, determinization-based, rank-based, and slice-based approaches. Regarding the performance of these approaches, there have been several complexity analyses but very few experimental results. What especially lacks is a comparative experiment on all of the four approaches to see how they perform in practice. In this paper, we review the four approaches, propose several optimization heuristics, and perform comparative experimentation on four representative constructions that are considered the most efficient in each approach. The experimental results show that (1) the determinization-based Safra-Piterman construction outperforms the other three in producing smaller complements and finishing more tasks in the allocated time and (2) the proposed heuristics substantially improve the Safra-Piterman and the slice-based constructions.

Source : oai:arXiv.org:1406.4575
DOI : 10.2168/LMCS-10(4:13)2014
Volume: Volume 10, Issue 4
Published on: December 18, 2014
Submitted on: April 10, 2013
Keywords: Computer Science - Formal Languages and Automata Theory,Computer Science - Logic in Computer Science


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