Relation-Changing Logics as Fragments of Hybrid Logics

Areces, C., Fervari, R., Hoffmann, G., and Martel, M.. Relation-Changing Logics as Fragments of Hybrid Logics. In Proceedings of the Seventh International Symposium on Games, Automata, Logics and Formal Verification, pp. 16–29, Open Publishing Association, Catania, Italy, September 2016.

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Abstract:

Relation-changing modal logics are extensions of the basic modal logic that allow changes to the accessibility relation of a model during the evaluation of a formula. In particular, they are equipped with dynamic modalities that are able to delete, add, and swap edges in the model, both locally and globally. We provide translations from these logics to hybrid logic along with an implementation. In general, these logics are undecidable, but we use our translations to identify decidable fragments. We also compare the expressive power of relation-changing modal logics with hybrid logics.

BibTeX: (download)

@INPROCEEDINGS{arec:rela16,
  author = {Areces, C. and Fervari, R. and Hoffmann, G. and Martel, M.},
  title = {Relation-Changing Logics as Fragments of Hybrid Logics},
  booktitle = {Proceedings of the Seventh International Symposium on Games, Automata,
	Logics and Formal Verification},
  year = {2016},
  editor = {Cantone, D. and Delzanno, G.},
  volume = {226},
  series = {Electronic Proceedings in Theoretical Computer Science},
  pages = {16--29},
  address = {Catania, Italy},
  month = {September},
  publisher = {Open Publishing Association},
  abstract = {Relation-changing modal logics are extensions of the basic modal logic
	that allow changes to the accessibility relation of a model during
	the evaluation of a formula. In particular, they are equipped with
	dynamic modalities that are able to delete, add, and swap edges in
	the model, both locally and globally. We provide translations from
	these logics to hybrid logic along with an implementation. In general,
	these logics are undecidable, but we use our translations to identify
	decidable fragments. We also compare the expressive power of relation-changing
	modal logics with hybrid logics.},
  doi = {10.4204/EPTCS.226.2},
  owner = {areces},
  timestamp = {2016.09.30}
}

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