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arXiv · 1210.3321

A Fragment of Dependence Logic Capturing Polynomial Time

Johannes Ebbing·Juha Kontinen·Julian-Steffen Müller·Heribert Vollmer
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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 study the question which of our results can ge generalized to the case of open formulae of D-Horn* and so-called downwards monotone polynomial time properties of teams.

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Johannes Ebbing, Juha Kontinen, Julian-Steffen Müller, Heribert Vollmer. 2014-09-03. A Fragment of Dependence Logic Capturing Polynomial Time. https://doi.org/10.2168/lmcs-10(3%3A3)2014

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