Characteristic formulas for processes with divergence

Abstract

Characteristic formulae have been introduced by Graf and Sifakis to relate equational reasoning about proceses to reasoning in a modal logic, and therefore to allow proofs about processes to be carried out in a logical framework. This work, which concerned finite processes and bisimulation-like equivalences, has later on been extended to finite state processes and further equivalences. Based upon an intuitionistic understanding of Hennessy-Milner Logic (HML) with mutual recursion, we extend these results to cover bisimulation-like preorders, which are sensitive to liveness properties. This demonstrates the expressive power of intuitionistically interpreted HML with mutual recursion, and it builds the theoretical basis for a uniform and efficient method to automatically verify bisimulation-like relations between processes by means of model checking. © 1994 Academic Press, Inc.