Bisimulations for temporal logic

We define bisimulations for temporal logic with Since and Until. This new notion is compared to existing notions of bisimulations, and then used to develop the basic model theory of temporal logic with Since and Until. Our results concern both invariance and definability. We conclude with a brief discussion of the wider applicability of our ideas.
Keywords modal and temporal logic  expressive power  model theory  definability
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DOI 10.1023/A:1008223921944
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Marco Aiello & Johan van Benthem (2002). A ModalWalk Through Space. Journal of Applied Non-Classical Logics 12 (3-4):319-363.

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