A Model Checker for Value-Passing Mu-Calculus Using Logic Programming

Recent advances in logic programming have been successfully used to build practical verification toolsets, as evidenced by the XMC system. Thus far, XMC has supported value-passing process languages, but has been limited to using the propositional fragment of modal mucalculus as the property specification logic. In this paper, we explore the use of data variables in the property logic. In particular, we present valuepassing modal mu-calculus, its formal semantics and describe a natural implementation of this semantics as a logic program. Since logic programs naturally deal with variables and substitutions, such an implementation need not pay any additional price— either in terms of performance, or in complexity of implementation— for having the added flexibility of data variables in the property logic. Our preliminary implementation supports this expectation.