Verification and diagnosis of testing equivalence and reduction relation

In protocol engineering, a common approach for system design and implementation is to verify if an implementation specification (or any lower level specification) satisfies its service specification. If an implementation specification does not satisfy its service specification, it is necessary to find out the faults and correct them. In this paper, we present an efficient algorithm for verifying whether an implementation satisfies its service specification related by the testing equivalence and the reduction relation, and generating diagnostic information if an implementation does not satisfy its service specification, based on the transformation of the service specification into a special deterministic machine, called refusal graph, and the coupled product of the refusal graph and the implementation