Lower Bounds for Complementation of omega-Automata Via the Full Automata Technique

Qiqi Yan

doi:10.2168/LMCS-4(1:5)2008

Qiqi Yan - Lower Bounds for Complementation of omega-Automata Via the Full Automata Technique

lmcs:992 - Logical Methods in Computer Science, March 19, 2008, Volume 4, Issue 1 - https://doi.org/10.2168/LMCS-4(1:5)2008

Lower Bounds for Complementation of omega-Automata Via the Full Automata TechniqueArticle

Authors: Qiqi Yan

In this paper, we first introduce a lower bound technique for the state complexity of transformations of automata. Namely we suggest first considering the class of full automata in lower bound analysis, and later reducing the size of the large alphabet via alphabet substitutions. Then we apply such technique to the complementation of nondeterministic \omega-automata, and obtain several lower bound results. Particularly, we prove an \omega((0.76n)^n) lower bound for Büchi complementation, which also holds for almost every complementation or determinization transformation of nondeterministic omega-automata, and prove an optimal (\omega(nk))^n lower bound for the complementation of generalized Büchi automata, which holds for Streett automata as well.

https://doi.org/10.2168/LMCS-4(1:5)2008

Source: arXiv.org:0802.1226

Volume: Volume 4, Issue 1

Published on: March 19, 2008

Imported on: July 25, 2007

Keywords: Computer Science - Logic in Computer Science,F.4.1,F.4.3

Licence: arXiv.org - Non-exclusive license to distribute

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Mathematics Subject Classification 2020¹

Sources:

[1] zbMATH Open.

Bibliographic References

21 Documents citing this article

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