A Note on the Cooperation in Rewriting Systems with Context-Dependency Checking

This paper discusses the cooperation and its effect on the generative power of rewriting systems with some kind of simple context-dependency checking represented by the mechanism of random context grammars. Specifically, it discusses the cooperation in terms of cooperating distributed grammar systems with respect to all basic types of cooperation protocols, and proves that although the cooperation is powerful enough to increase the generative power of both permitting and forbidding random context grammars, it has no effect on the generative power of random context grammars. It also discusses two possible definitions of the relation of the direct derivation step used in the literature.