Towards Interactive Verification of Programmable Logic Controllers using Modal Kleene Algebra and KIV

Abstract

In this paper we develop an approach to interactive verification of programmable logic controllers which often serve as controllers in safety critical systems and hence need thorough verification. As a verification tool we use the KIV system, whereas the formalization is done in modal Kleene algebra. We first prove a bunch of theorems from modal Kleene algebra in KIV, subsequently translate the desired properties of a program for a programmable logic controller in modal Kleene algebra, and finally prove these encoded properties interactively with KIV.