Detail publikace

Jumping Grammars

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/"
}