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Bounded Number of Parallel Productions in Scattered Context Grammars with Three Nonterminals
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SYSNO ASEP 0345656 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Bounded Number of Parallel Productions in Scattered Context Grammars with Three Nonterminals Author(s) Masopust, Tomáš (MU-W) RID, ORCID, SAI Source Title Fundamenta Informaticae. - : IOS Press - ISSN 0169-2968
Roč. 99, č. 4 (2010), s. 473-480Number of pages 8 s. Language eng - English Country NL - Netherlands Keywords Scattered context grammars ; parallel productions ; descriptional complexity ; generative power Subject RIV BA - General Mathematics CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000279638200005 EID SCOPUS 77954729583 DOI 10.3233/FI-2010-258 Annotation Scattered context grammars with three nonterminals are known to be computationally complete. So far, however, it was an open problem whether the number of parallel productions can be bounded along with three nonterminals. In this paper, we prove that every recursively enumerable language is generated by a scattered context grammar with three nonterminals and five parallel productions, each of which simultaneously rewrites no more than nine nonterminals. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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