Cut-free sequent and tableau systems for propositional Diodorean modal logics

@article{Gor1994CutfreeSA,
  title={Cut-free sequent and tableau systems for propositional Diodorean modal logics},
  author={Rajeev Gor{\'e}},
  journal={Studia Logica},
  year={1994},
  volume={53},
  pages={433-457}
}
  • R. Goré
  • Published 1 September 1994
  • Mathematics
  • Studia Logica
We present sound, (weakly) complete and cut-free tableau systems for the propositional normal modal logicsS4.3, S4.3.1 andS4.14. When the modality □ is given a temporal interpretation, these logics respectively model time as a linear dense sequence of points; as a linear discrete sequence of points; and as a branching tree where each branch is a linear discrete sequence of points.Although cut-free, the last two systems do not possess the subformula property. But for any given finite set of… 
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