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arXiv · 2510.08122

Complexity Results in Team Semantics: Nonemptiness Is Not So Complex

Aleksi Anttila·Juha Kontinen·Fan Yang
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Abstract

We initiate the study of the complexity-theoretic properties of convex logics in team semantics. We focus on the extension of classical propositional logic with the nonemptiness atom NE, a logic known to be both convex and union closed. We show that the satisfiability problem for this logic is NP-complete, that its validity problem is coNP-complete, and that its model-checking problem is in P.

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Aleksi Anttila, Juha Kontinen, Fan Yang. 2025-10-09. Complexity Results in Team Semantics: Nonemptiness Is Not So Complex. https://doi.org/10.1007/978-3-032-21540-6_1

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