Model checking CTL is almost always inherently sequential

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Beyersdorff, Olaf; Meier, Arne; Mundhenk, M.; Schneider, T.; Thomas, Michael et al.: Model checking CTL is almost always inherently sequential. In: Logical Methods in Computer Science 7 (2011), Nr. 2, 12. DOI: http://dx.doi.org/10.2168/LMCS-7(2:12)2011

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Sum total of downloads: 91




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Abstract: 
The model checking problem for CTL is known to be P-complete (Clarke, Emerson, and Sistla (1986), see Schnoebelen (2002)). We consider fragments of CTL obtained by restricting the use of temporal modalities or the use of negations-restrictions already studied for LTL by Sistla and Clarke (1985) and Markey (2004). For all these fragments, except for the trivial case without any temporal operator, we systematically prove model checking to be either inherently sequential (P-complete) or very efficiently parallelizable (LOGCFL-complete). For most fragments, however, model checking for CTL is already P-complete. Hence our results indicate that, in cases where the combined complexity is of relevance, approaching CTL model checking by parallelism cannot be expected to result in any significant speedup. We also completely determine the complexity of the model checking problem for all fragments of the extensions ECTL, CTL+, and ECTL+.
License of this version: CC BY-ND 2.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2011
Appears in Collections:Fakultät für Elektrotechnik und Informatik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 76 83.52%
2 image of flag of United States United States 7 7.69%
3 image of flag of Russian Federation Russian Federation 3 3.30%
4 image of flag of No geo information available No geo information available 1 1.10%
5 image of flag of Moldova, Republic of Moldova, Republic of 1 1.10%
6 image of flag of Korea, Republic of Korea, Republic of 1 1.10%
7 image of flag of China China 1 1.10%
8 image of flag of Switzerland Switzerland 1 1.10%

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