This paper presents a strategy together with tool support for the translation of state machines from equational theories into rewrite theories, aiming at automatically generating rewrite theory specifications. Duplicate effort can be saved on specifying state machines both in equational theories and rewrite theories, when we incorporate the theorem proving facilities of CafeOBJ with the model checking facilities of Maude. Experimental results show that efficiencies of the generated specifications by the proposed strategy are significantly improved, compared with those that are generated by three other existing translation strategies.

There are two ways to describe a state machine as an algebraic specification: a behavioral specification and a rewrite specification. In this study, we propose a translation system from behavioral specifications to rewrite specifications to obtain a verification system which has the strong points of verification techniques for both specifications. Since our translation system is complete with respect to invariant properties, it helps us to obtain a counter-example for an invariant property through automatic exhaustive searching for a rewrite specification.

SAL is a toolkit for analyzing transition systems, providing several different tools. Among the tools are a BDD-based symbolic model checker (SMC) and an SMT-based infinite bounded model checker (infBMC). The unique functionality provided by SAL is k-induction, which is supported by infBMC. Given appropriate lemmas, infBMC can prove automatically by k-induction that an infinite-state transition system satisfies invariant properties. Maude is a specification language and system based on membership equational logic and rewriting logic. Maude is equipped with an on-the-fly explicit state model checker. The unique functionality provided by the Maude model checker supports inductive data types. We make a comparison of SAL (especially SMC and infBMC) and the Maude model checker by conducting case studies in which the Suzuki-Kasami distributed mutual exclusion algorithm is analyzed. The purpose of the comparison is to clarify some of the two tools' functionalities, especially the unique ones, through the case studies.