Detail publikačního výsledku

Simple Matrix Grammars and Their Leftmost Variants

MEDUNA, A.; SOUKUP, O.

Originální název

Simple Matrix Grammars and Their Leftmost Variants

Anglický název

Simple Matrix Grammars and Their Leftmost Variants

Druh

Článek WoS

Originální abstrakt


In essence, simple matrix grammars can be seen as sequences of context-free grammars, referred to as their components, which work in parallel. The present paper demonstrates that two-component simple matrix grammars are as powerful as ordinary matrix grammars. Then, it places three leftmost derivation restrictions upon these grammars and demonstrates that under two of these restrictions, simple matrix grammars are computational complete--that is, they are equivalent with Turing machines. From a historical perspective, concerning simple matrix grammars, the paper also makes several remarks that correct false statements published about them in the past.

Anglický abstrakt


In essence, simple matrix grammars can be seen as sequences of context-free grammars, referred to as their components, which work in parallel. The present paper demonstrates that two-component simple matrix grammars are as powerful as ordinary matrix grammars. Then, it places three leftmost derivation restrictions upon these grammars and demonstrates that under two of these restrictions, simple matrix grammars are computational complete--that is, they are equivalent with Turing machines. From a historical perspective, concerning simple matrix grammars, the paper also makes several remarks that correct false statements published about them in the past.

Klíčová slova

simple matrix grammars, leftmost derivations, generative power

Klíčová slova v angličtině

simple matrix grammars, leftmost derivations, generative power

Autoři

MEDUNA, A.; SOUKUP, O.

Rok RIV

2017

Vydáno

08.06.2016

ISSN

0129-0541

Periodikum

INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE

Svazek

27

Číslo

3

Stát

Singapurská republika

Strany od

359

Strany do

373

Strany počet

15

URL

BibTex

@article{BUT130903,
  author="Alexandr {Meduna} and Ondřej {Soukup}",
  title="Simple Matrix Grammars and Their Leftmost Variants",
  journal="INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE",
  year="2016",
  volume="27",
  number="3",
  pages="359--373",
  doi="10.1142/S0129054116400141",
  issn="0129-0541",
  url="http://www.worldscientific.com/doi/10.1142/S0129054116400141"
}