We prove that all recursively enumerable languages can be generated by context-free returning parallel communicating grammar systems by showing how the parallel communicating grammars can simulate two-counter machines, a class of Turing machine variants which is known to be computationally complete.
On the computational power of context-free PC grammar systems
β Scribed by Niculae Mandache
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 132 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0304-3975
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β¦ Synopsis
It is shown that non-returning parallel communicating grammar systems with -free contextfree components can generate any recursively enumerable language. Since it was proven that such systems can be simulated by returning PC grammar systems with context-free components, the result extends to those.
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