Technical report

ABDULLA Parosh A., CHEN Yu-Fang, CLEMENTE Lorenzo, HOLÍK Lukáš, HONG Chih-Duo, MAYR Richard and VOJNAR Tomáš. Advanced Ramsey-based Büchi Automata Inclusion Testing. FIT-TR-2011-03, Brno: Faculty of Information Technology BUT, 2011.
Publication language:english
Original title:Advanced Ramsey-based Büchi Automata Inclusion Testing
Title (cs):Pokročilé techniky testování inkluze na Büchiho automatech s využitím technik založených na Ramseyho teorému
Pages:45
Place:FIT-TR-2011-03, Brno, CZ
Year:2011
Publisher:Faculty of Information Technology BUT
URL:http://www.fit.vutbr.cz/~vojnar/Publications/fit-tr-2011-03.pdf [PDF]
Keywords
Büchi automata, inclusion checking, Ramsey theorem, simulation relations
Annotation
Checking language inclusion between two nondeterministic Büchi automata A and B is computationally hard (PSPACE-complete). However, several approaches which are efficient in many practical cases have been proposed. We build on one of these, which is known as the Ramsey-based approach. It has recently been shown that the basic Ramsey-based approach can be drastically optimized by using powerful subsumption techniques, which allow one to prune the search-space when looking for counterexamples to inclusion. While previous works only used subsumption based on set inclusion or forward simulation on A and B, we propose the following new techniques: (1) A larger subsumption relation based on a combination of backward and forward simulations on A and B. (2) A method to additionally use forward simulation between A and B. (3) Abstraction techniques that can speed up the computation and lead to early detection of counterexamples. The new algorithm was implemented and tested on automata derived from real-world model checking benchmarks, and on the Tabakov-Vardi random model, thus showing the usefulness of the proposed techniques.
BibTeX:
@TECHREPORT{
   author = {A. Parosh Abdulla and Yu-Fang Chen and Lorenzo Clemente and
	Lukáš Holík and Chih-Duo Hong and Richard Mayr and Tomáš
	Vojnar},
   title = {Advanced Ramsey-based Büchi Automata Inclusion Testing},
   pages = {45},
   year = {2011},
   location = {FIT-TR-2011-03, Brno, CZ},
   publisher = {Faculty of Information Technology BUT},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php.en?id=9721}
}

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