Cut-Free Calculi and Relational Semantics for Temporal STIT Logics

Kees van BerkelKees van Berkel, Tim LyonTim Lyon

ISBN: 978-3-030-19570-0
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Kees van Berkel, Tim Lyon
Cut-Free Calculi and Relational Semantics for Temporal STIT Logics
In Calimeri, Francesco and Leone, Nicola and Manna, Marco, eds., Logics in Artificial Intelligence, volume 11468, 803-819, 2019. Springer

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KurzfassungAbstract
We present cut-free labelled sequent calculi for a central formalism in logics of agency: STIT logics with temporal operators. These include sequent systems for LDM, TSTIT and XSTIT. All calculi presented possess essential structural properties such as contraction- and cut-admissibility. The labelled calculi G3LDM and G3TSTIT are shown sound and complete relative to irreflexive temporal frames. Additionally, we extend current results by showing that also XSTIT can be characterized through relational frames, omitting the use of BT+AC frames.
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Forschungsgruppe:Research Group: Computational LogicComputational Logic

The final publication is available at Springer via http://dx.doi.org/https://doi.org/10.1007/978-3-030-19570-0_52.

@inproceedings{BL2019,
  author    = {Kees van Berkel and Tim Lyon},
  title     = {Cut-Free Calculi and Relational Semantics for Temporal {STIT}
               Logics},
  editor    = {Calimeri and Francesco and Leone and Nicola and Manna and Marco},
  booktitle = {Logics in Artificial Intelligence},
  volume    = {11468},
  publisher = {Springer},
  year      = {2019},
  pages     = {803-819},
  doi       = {https://doi.org/10.1007/978-3-030-19570-0_52}
}