Abstract. A complete SAT-based model checking algorithm for contextfree processes is presented. We reduce proof search in local model checking to Boolean satisfiability. Bounded proof search can therefore be performed by SAT solvers. Moreover, the completion of proof search is reduced to Boolean unsatisfiability and hence can be checked by SAT solvers. By encoding the local model checking algorithm in [13], SAT solvers are able to verify properties in the universal fragment of alternationfree µ-calculus formula on context-free processes. 1