Model Checking Using Description Logic

Abstract

Model checking is an automated technique for the verification of finite-state systems that is widely used in practice. In Bounded Model Checking (BMC) the system is checked only until a given execution depth from the initial state. State of the art model checkers apply Binary Decision Diagrams (BDDs) as well as Satisfiability Solving (SAT) for this task. However, both methods suffer from the state explosion problem, which restricts the application of model checking to only modestly sized systems. The importance of model checking makes it worthwhile to explore alternative technologies, in the hope of enabling the application of the technique to a wider class of systems. Description Logic (DL) is a family of knowledge representation formalisms, mainly used for designing ontologies, for which reasoning is based on tableaux techniques. In this article, we show how model checking problems can be solved using DL reasoning. We present two different encodings of a model checking problem as a consistency check in DL, and show how DL can serve as a natural setting for representing and solving a BMC problem. Experimental results, using the DL reasoner FaCT++, give encouraging results.