Symbolic Model Checking for Propositional Projection Temporal Logic

Abstract

This paper presents a symbolic model checking algorithm for Propositional Projection Temporal Logic (PPTL). Within this method, the model of a system is specified by a Kripke structure M, and the desired property is specified in a PPTL formula P. First, M is symbolically represented with boolean functions while -P is transformed into its normal form. Then the set of states in M that satisfies -P, namely Sat(-P), is computed recursively with respect to the transition relations. Thus, whether the system satisfies the property can be equivalently checked by determining the emptiness of Sat(-P). All the operations above can be implemented by a graph algorithm operated on ROBDDs.