The Dyck language D'-1-* is not generated by any matrix grammar of finite index
Information and Computation
On cooperating/distributed grammar systems
Journal of Information Processing and Cybernetics
Handbook of formal languages, vol. 2
Programmed Grammars and Classes of Formal Languages
Journal of the ACM (JACM)
Hybrid modes in cooperating distributed grammar systems: internal versus external hybridization
Theoretical Computer Science
Grammar Systems: A Grammatical Approach to Distribution and Cooperation
Grammar Systems: A Grammatical Approach to Distribution and Cooperation
Regulated Rewriting in Formal Language Theory
Regulated Rewriting in Formal Language Theory
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Based on a derivation mode f for cooperating distributed (CD) grammar systems, we introduce a new form of cooperation protocol, the so called "cut-f-mode" of derivation. Intuitively, in the cut-f-mode of derivation the sentential form is partitioned (cut) into several subwords, where some of these subwords are distributed to the components, which derive them according to the underlying f-mode of derivation, and finally the new sentential form is obtained by concatenating all the subwords-derived or not-in their original order. According to the original motivation from distributed artificial intelligence, the new functioning mode appears to be more realistic than the original model. We investigate the cut-mode versions of the basic derivation modes and some of their combined versions. It turns out that in most cases, the cut-f-mode is at most as powerful as the corresponding non-cut-mode, that is, the f-mode itself. In some cases the power is even reduced to that of context-free grammars.