interpolation and bisimulation in temporal logic

Building on recent model theoretic results for Since-Until logics we define an adequate notion of bisimulation and establish general theorems concerning the interpolation property. Using these general results we prove that the basic SU-logic and any SU-logic whose class of frames can be defined by universal Horn formulas have interpolation. In particular, the SU-logic of branching time has interpolation, while linear time fails to have this property.

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