Complexity of Propositional Logics in Team Semantic

Author:

Hannula Miika1,Kontinen Juha1,Virtema Jonni2,Vollmer Heribert2

Affiliation:

1. University of Helsinki, Helsinki, Finland

2. Leibniz Universität Hannover and University of Helsinki, Helsinki, Finland

Abstract

We classify the computational complexity of the satisfiability, validity, and model-checking problems for propositional independence, inclusion, and team logic. Our main result shows that the satisfiability and validity problems for propositional team logic are complete for alternating exponential-time with polynomially many alternations.

Funder

Jenny and Antti Wihuri Foundation

DAAD

Academy of Finland

Publisher

Association for Computing Machinery (ACM)

Subject

Computational Mathematics,Logic,General Computer Science,Theoretical Computer Science

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1. Parameterized complexity of weighted team definability;Mathematical Structures in Computer Science;2024-02-20

2. On Composing Finite Forests with Modal Logics;ACM Transactions on Computational Logic;2023-04-03

3. Logics with Probabilistic Team Semantics and the Boolean Negation;Logics in Artificial Intelligence;2023

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