Proving VLRL Action Properties with the Maude Model Checker

The Verification Logic for Rewriting Logic (VLRL) is a modal action logic in which rewrite rules are captured as actions. This paper studies a possible representation of the VLRL action formulae using the Next and the Until operators of Linear Temporal Logic (LTL). In particular, it studies the use of the Maude model checker to prove VLRL action formulae. Action modalities of VLRL fix the transition that will take place in a state and the context in which it will be applied, while LTL operators do not. Thus, to represent action modalities in LTL it is necessary to transform the initial rewrite theory into a new one in which the states carry the information about the transitions used and the context in which they have taken place. VLRL properties are then studied in the transformed theory by translating VLRL formulae into equivalent LTL formulae.