On the Generating Power of Regularly Controlled Bidirectional Grammars

Peter R.J. Asveld, Jan Anne Hogendorp

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    3 Citations (Scopus)
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    RCB-grammars or regularly controlled bidirectional grammars are context-free grammars of which the rules can be used in a productive and in a reductive fashion. In addition, the application of these rules is controlled by a regular language. Several modes of derivation can be distinguished for this kind of grammar. In this paper the generating power of the derivation mode that uses right-occurrence rewriting (RO-mode) is determined. Furthermore, a new mode called RA is introduced, which is a better formalization of the intuitive idea of right-occurrence rewriting than the RO-mode. The RO- and RA-mode have the same generating power, viz. the corresponding RCB-grammars both generate the recursively enumerable languages. Consequently, providing RCB/RO-grammars with a time bound results in a less powerful grammar model.
    Original languageEnglish
    Pages (from-to)75-91
    Number of pages17
    JournalInternational journal of computer mathematics
    Issue number1
    Publication statusPublished - 1991


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