An Epistemic Predicate CTL* for Finite Control π-Processes

We examine model checking of finite control π-calculus processes against specifications in epistemic predicate CTL*. In contrast to branching time settings such as CTL or the modal μ-calculus, the general problem, even for LTL, is undecidable, essentially because a process can use the environment as unbounded storage. To circumvent this problem attention is restricted to closed processes for which internal communication along a given set of known channels is observable. This allows to model processes operating in a suitably memory-bounded environment. We propose an epistemic predicate full CTL* with perfect recall which is interpreted on the computation trees defined by such finite control π-calculus processes. We demonstrate the decidability of model-checking by a reduction to the decidability of validity in quantified full propositional CTL*.