Bisimulations for intuitionistic temporal logics

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 thateventually', which is definable in terms of until', cannot be defined in terms ofnext' and henceforth', and similarly thathenceforth', definable in terms of release', cannot be defined in terms ofnext' and `until', even over the smaller class of here-and-there models.