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arXiv · 1803.05078

Bisimulations for intuitionistic temporal logics

Philippe Balbiani·Joseph Boudou·Marín Diéguez·David Fernández-Duque
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Abstract

We introduce bisimulations for the logic $ITL^e$ 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.

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Philippe Balbiani, Joseph Boudou, Marín Diéguez, David Fernández-Duque. 2018-03-14. Bisimulations for intuitionistic temporal logics. https://arxiv.org/abs/1803.05078

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