Alternative axiomatics and complexity of deliberative STIT theories

@article{Balbiani2008AlternativeAA,
  title={Alternative axiomatics and complexity of deliberative STIT theories},
  author={Philippe Balbiani and Andreas Herzig and Nicolas Troquard},
  journal={J. Philosophical Logic},
  year={2008},
  volume={37},
  pages={387-406}
}
We propose two alternatives to Xu’s axiomatization of the Chellas STIT. The first one also provides an alternative axiomatization of the deliberative STIT. The second one starts from the idea that the historic necessity operator can be defined as an abbreviation of operators of agency, and can thus be eliminated from the logic of the Chellas STIT. The second axiomatization also allows us to establish that the problem of deciding the satisfiability of a STIT formula without temporal operators is… CONTINUE READING

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