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arXiv · 1410.5037

Decidability of predicate logics with team semantics

Juha Kontinen·Antti Kuusisto·Jonni Virtema
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Abstract

We study the complexity of predicate logics based on team semantics. We show that the satisfiability problems of two-variable independence logic and inclusion logic are both NEXPTIME-complete. Furthermore, we show that the validity problem of two-variable dependence logic is undecidable, thereby solving an open problem from the team semantics literature. We also briefly analyse the complexity of the Bernays-Sch\"onfinkel-Ramsey prefix classes of dependence logic.

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Juha Kontinen, Antti Kuusisto, Jonni Virtema. 2014-10-19. Decidability of predicate logics with team semantics. https://arxiv.org/abs/1410.5037

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