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Probabilistic Team Semantics

  • Arnaud Durand
  • Miika Hannula
  • Juha Kontinen
  • Arne Meier
  • Jonni VirtemaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10833)

Abstract

Team semantics is a semantical framework for the study of dependence and independence concepts ubiquitous in many areas such as databases and statistics. In recent works team semantics has been generalised to accommodate also multisets and probabilistic dependencies. In this article we study a variant of probabilistic team semantics and relate this framework to a Tarskian two-sorted logic. We also show that very simple quantifier-free formulae of our logic give rise to \(\mathrm {NP} \)-hard model checking problems.

Notes

Acknowledgements

The second author was supported by grant 3711702 of the Marsden Fund. The third author was supported by grant 308712 of the Academy of Finland. This work was supported in part by the joint grant by the DAAD (57348395) and the Academy of Finland (308099). We also thank the anonymous referees for their helpful suggestions.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Arnaud Durand
    • 1
  • Miika Hannula
    • 2
  • Juha Kontinen
    • 3
  • Arne Meier
    • 4
  • Jonni Virtema
    • 5
    Email author
  1. 1.Institut de Mathématiques de Jussieu - Paris Rive Gauche, CNRS UMR 7586, Université Paris DiderotParisFrance
  2. 2.Department of Computer ScienceUniversity of AucklandAucklandNew Zealand
  3. 3.Department of Mathematics and StatisticsUniversity of HelsinkiHelsinkiFinland
  4. 4.Institut für Theoretische InformatikLeibniz Universität HannoverHanoverGermany
  5. 5.Databases and Theoretical Computer ScienceHasselt UniversityHasseltBelgium

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