Complexity of Existential Positive First-Order Logic

Manuel Bodirsky; Miki Hermann; Florian Richoux

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arXiv · 1011.4757

Complexity of Existential Positive First-Order Logic

Manuel Bodirsky·Miki Hermann·Florian Richoux

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Abstract

Let gamma be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in gamma is in Logspace or complete for the class CSP(gamma)_NP under deterministic polynomial-time many-one reductions. Here, CSP(gamma)_NP is the class of problems that can be reduced to the Constraint Satisfaction Problem of gamma under non-deterministic polynomial-time many-one reductions.

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Manuel Bodirsky, Miki Hermann, Florian Richoux. 2010-11-22. Complexity of Existential Positive First-Order Logic. https://arxiv.org/abs/1011.4757

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