Journal article

ABDULLA Parosh A., HOLÍK Lukáš, CHEN Yu-Fang and VOJNAR Tomáš. Mediating for reduction (on minimizing alternating Buchi automata). Theoretical Computer Science. Paris: Elsevier Science, 2014, vol. 2014, no. 552, pp. 26-43. ISSN 0304-3975. Available from: http://dx.doi.org/10.1016/j.tcs.2014.08.003
Publication language:english
Original title:Mediating for reduction (on minimizing alternating Buchi automata)
Title (cs):Zprostředkování pro redukci (minimzlizace alternujících Buchi automatů)
Pages:26-43
Place:FR
Year:2014
URL:http://dx.doi.org/10.1016/j.tcs.2014.08.003
Journal:Theoretical Computer Science, Vol. 2014, No. 552, Paris, FR
ISSN:0304-3975
URL:http://dx.doi.org/10.1016/j.tcs.2014.08.003 [HTML]
Keywords
alternating Buchi automata
space reduction
simulation
quotinet
mediation

Annotation
We propose a new approach for minimizing alternating Buchi automata (ABA). The approach is based on the mediated equivalence on states of an ABA, which is the maximal equivalence contained in the mediated preorder. Two states p and q are related by the mediated preorder if there is a~mediator (mediating state) which forward simulates p and backward simulates q. Under further conditions, letting a computation on some word jump from q to p preserves the language as the automaton can anyway already accept the word without jumps by runs through the mediator. We further show how the mediated equivalence can be computed efficiently. Finally, we show that, compared to the standard forward simulation equivalence, the mediated equivalence can yield much larger reductions when applied within the process of complementing Buchi automata where ABA are used as an intermediate model.

BibTeX:
@ARTICLE{
   author = {A. Parosh Abdulla and Luk{\'{a}}{\v{s}} Hol{\'{i}}k and
	Yu-Fang Chen and Tom{\'{a}}{\v{s}} Vojnar},
   title = {Mediating for reduction (on minimizing alternating Buchi
	automata)},
   pages = {26--43},
   journal = {Theoretical Computer Science},
   volume = {2014},
   number = {552},
   year = {2014},
   ISSN = {0304-3975},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10741}
}

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