Model Checking for the Full Hybrid Computation Tree Logic

Abstract

We consider the hybridisations of the full branching time logic CTL* through the addition of nominals, binders and jumps. We formally define three fragments restricting the interplay between hybrid operators and path formulae contrary to previous proposals in the literature which ignored potential problems with a formal semantics. We then investigate the model checking problem for these logics obtaining complexities from PSPACE-completeness to non-elementary decidability.