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KŘIVKA, Z. MEDUNA, A.
Originální název
Jumping Grammars
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
This paper introduces and studies jumping grammars, which represent a grammatical counterpart to the recently introduced jumping automata. These grammars are conceptualized just like classical grammars except that during the applications of their productions, they can jump over symbols in either direction within the rewritten strings. More precisely, a jumping grammar rewrites a string z according to a rule x -> y in such a way that it selects an occurrence of x in z, erases it, and inserts y anywhere in the rewritten string, so this insertion may occur at a different position than the erasure of x. The paper concentrates its attention on investigating the generative power of jumping grammars. More specifically, it compares this power with that of jumping automata and that of classical grammars. A special attention is paid to various context-free versions of jumping grammars, such as regular, right-linear, linear, and context-free grammars of finite index. In addition, we study the semilinearity of context-free, context-sensitive, and monotonous jumping grammars. We also demonstrate that the general versions of jumping grammars characterize the family of recursively enumerable languages. In its conclusion, the paper formulates several open problems and suggests future investigation areas.
Klíčová slova
Modified grammars; discontinuous rewriting; generative power; jumping finite automata; semilinearity; finite index.
Autoři
KŘIVKA, Z.; MEDUNA, A.
Rok RIV
2015
Vydáno
1. 10. 2015
ISSN
0129-0541
Periodikum
International Journal of Foundations of Computer Science
Ročník
26
Číslo
6
Stát
Singapurská republika
Strany od
709
Strany do
731
Strany počet
23
URL
https://www.fit.vut.cz/research/publication/10735/
BibTex
@article{BUT119793, author="Zbyněk {Křivka} and Alexandr {Meduna}", title="Jumping Grammars", journal="International Journal of Foundations of Computer Science", year="2015", volume="26", number="6", pages="709--731", doi="10.1142/S0129054115500409", issn="0129-0541", url="https://www.fit.vut.cz/research/publication/10735/" }