Publication detail

Final sentential forms

KOŽÁR, T. MEDUNA, A. KŘIVKA, Z.

Original Title

Final sentential forms

Type

conference paper

Language

English

Original Abstract

Let G be a context-free grammar with a total alphabet V, and let F be a final language over an alphabet W as a subset of V. A final sentential form is any sentential form of G that, after omitting symbols from V-W, it belongs to F. The string resulting from the elimination of all nonterminals from W in a final sentential form is in the language of G finalized by F if and only if it contains only terminals. The language of any context-free grammar finalized by a regular language is context-free. On the other hand, it is demonstrated that L is a recursively enumerable language if and only if there exists a propagating context-free grammar G such that L equals the language of G finalized by {w#rev(w):string w over alphabet {0,1}}, where rev(w) is the reversal of w.

Keywords

sentential form, Turing power, recursively enumerable language, propagating context-free grammar, palindromial language, queue grammar

Authors

KOŽÁR, T.; MEDUNA, A.; KŘIVKA, Z.

Released

15. 9. 2023

Publisher

School of Computer Science and Engineering, University of New South Wales

Location

Famagusta

ISBN

2075-2180

Periodical

Electronic Proceedings in Theoretical Computer Science, EPTCS

Year of study

388

Number

9

State

unknown

Pages from

38

Pages to

47

Pages count

9

URL

https://arxiv.org/abs/2309.08719v1

BibTex

@inproceedings{BUT185173,
  author="Tomáš {Kožár} and Alexandr {Meduna} and Zbyněk {Křivka}",
  title="Final sentential forms",
  booktitle="Proceedings 13th International Workshop on Non-Classical Models of Automata and Applications",
  year="2023",
  journal="Electronic Proceedings in Theoretical Computer Science, EPTCS",
  volume="388",
  number="9",
  pages="38--47",
  publisher="School of Computer Science and Engineering, University of New South Wales",
  address="Famagusta",
  doi="10.4204/EPTCS.388.6",
  issn="2075-2180",
  url="https://arxiv.org/abs/2309.08719v1"
}