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Decidability of Predicate Logics with Team Semantics

Authors Juha Kontinen, Antti Kuusisto, Jonni Virtema

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Juha Kontinen
Antti Kuusisto
Jonni Virtema

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Juha Kontinen, Antti Kuusisto, and Jonni Virtema. Decidability of Predicate Logics with Team Semantics. In 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 58, pp. 60:1-60:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016) https://doi.org/10.4230/LIPIcs.MFCS.2016.60

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-Schoenfinkel-Ramsey prefix classes of dependence logic.

Subject Classification

Keywords
  • team semantics
  • dependence logic
  • complexity
  • two-variable logic

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