A fragment of dependence logic capturing polynomial time

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Ebbing, Johannes; Kontinen, Juha; Mueller, Julian-Steffen; Vollmer, Heribert: A fragment of dependence logic capturing polynomial time. In: Logical Methods in Computer Science 10 (2014), Nr. 3, 3. DOI: https://doi.org/10.2168/LMCS-10(3:3)2014

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Sum total of downloads: 185




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Abstract: 
In this paper we study the expressive power of Horn-formulae in dependence logic and show that they can express NP-complete problems. Therefore we define an even smaller fragment D*-Horn and show that over finite successor structures it captures the complexity class P of all sets decidable in polynomial time. Furthermore, we show that the open D*-Horn-formulae correspond to the negative fragment of SO there exists-Horn.
License of this version: CC BY-ND 2.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2014
Appears in Collections:Fakultät für Elektrotechnik und Informatik

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1 image of flag of Germany Germany 143 77.30%
2 image of flag of United States United States 20 10.81%
3 image of flag of China China 7 3.78%
4 image of flag of Sweden Sweden 2 1.08%
5 image of flag of Canada Canada 2 1.08%
6 image of flag of Ukraine Ukraine 1 0.54%
7 image of flag of Taiwan Taiwan 1 0.54%
8 image of flag of Romania Romania 1 0.54%
9 image of flag of India India 1 0.54%
10 image of flag of Australia Australia 1 0.54%
    other countries 6 3.24%

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