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Communication Dans Un Congrès Année : 2017

Bisimulations for intuitionistic temporal logics

Résumé

We introduce bisimulations for the logic ITLe with `next', `until' and `release', an intuitionistic temporal logic based on structures equipped with a partial order used to interpret intuitionistic implication and a monotone function used to interpret the temporal modalities. Our main results are that `eventually', which is definable in terms of `until', cannot be defined in terms of `next' and `henceforth', and similarly that `henceforth', definable in terms of `release', cannot be defined in terms of `next' and `until', even over the smaller class of here-and-there models.

Dates et versions

hal-01892946 , version 1 (10-10-2018)

Identifiants

Citer

Philippe Balbiani, Joseph Boudou, Martin Dieguez, David Fernández-Duque. Bisimulations for intuitionistic temporal logics. 7th Workshop on Intuitionistic Modal Logic and Applications (IMLA 2017), Jul 2017, Toulouse, France. ⟨10.48550/arXiv.1803.05078⟩. ⟨hal-01892946⟩
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