# On Quantified Propositional Logics and the Exponential Time Hierarchy

@inproceedings{Hannula2016OnQP, title={On Quantified Propositional Logics and the Exponential Time Hierarchy}, author={Miika Hannula and Juha Kontinen and Martin L{\"u}ck and Jonni Virtema}, booktitle={GandALF}, year={2016} }

We study quantified propositional logics from the complexity theoretic point of view. First we introduce alternating dependency quantified boolean formulae (ADQBF) which generalize both quantified and dependency quantified boolean formulae. We show that the truth evaluation for ADQBF is AEXPTIME(poly)-complete. We also identify fragments for which the problem is complete for the levels of the exponential hierarchy. Second we study propositional team-based logics. We show that DQBF formulae…

## 21 Citations

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This paper considers the logic FO(∼), the extension of first-order logic with team semantics by unrestricted Boolean negation, and proves that its satisfiability problem is decidable, and in fact complete for the recently introduced non-elementary class TOWER(poly).

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- 2018

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- 2018

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