Predicate Diagrams for the Verification of Reactive Systems

We define a class of diagrams that represent abstractions of—possibly infinite-state—reactive systems described by specifications written in temporal logic. Our diagrams are intended as the basis for the verification of both safety and liveness properties of such systems. Non-temporal proof obligations establish the correspondence between the original specification and the diagram, whereas model checking can be used to verify properties over finite-state abstractions.We describe the use of abstract interpretation techniques to generate proof diagrams from a given specification and user-defined predicates that represent sets of states.