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Modal Inclusion Logic: Being Lax is Simpler than Being Strict

  • Lauri Hella
  • Antti Kuusisto
  • Arne MeierEmail author
  • Heribert Vollmer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9234)

Abstract

We investigate the computational complexity of the satisfiability problem of modal inclusion logic. We distinguish two variants of the problem: one for strict and another one for lax semantics. The complexity of the lax version turns out to be complete for EXPTIME, whereas with strict semantics, the problem becomes \({\mathsf{{NEXPTIME}}}\)-complete.

Notes

Acknowledgements

The authors thank the anonymous referees for their comments. The third author is supported by DFG grant ME 4279/1-1. The second author acknowledges support from Jenny and Antti Wihuri Foundation.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Lauri Hella
    • 1
  • Antti Kuusisto
    • 2
  • Arne Meier
    • 3
    Email author
  • Heribert Vollmer
    • 3
  1. 1.School of Information SciencesUniversity of TampereTampereFinland
  2. 2.Department of Philosophy, Stockholm University, SE-106 91 Stockholm, Sweden and DTU ComputeTechnical University of DenmarkKgs. LyngbyDenmark
  3. 3.Institut für Theoretische InformatikLeibniz Universität HannoverHannoverGermany

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