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Model Checking and Validity in Propositional and Modal Inclusion Logics

Authors Lauri Hella, Antti Kuusisto, Arne Meier, Jonni Virtema

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Lauri Hella
Antti Kuusisto
Arne Meier
Jonni Virtema

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Lauri Hella, Antti Kuusisto, Arne Meier, and Jonni Virtema. Model Checking and Validity in Propositional and Modal Inclusion Logics. In 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 83, pp. 32:1-32:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017) https://doi.org/10.4230/LIPIcs.MFCS.2017.32

Abstract

Propositional and modal inclusion logic are formalisms that belong to the family of logics based on team semantics. This article investigates the model checking and validity problems of these logics. We identify complexity bounds for both problems, covering both lax and strict team semantics. By doing so, we come close to finalising the programme that ultimately aims to classify the complexities of the basic reasoning problems for modal and propositional dependence, independence, and inclusion logics.

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Keywords
  • Inclusion Logic
  • Model Checking
  • Complexity

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