Sciact
  • EN
  • RU

Object-oriented data via prefix rewriting. Part III: Recurrence Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2026, Volume: 67, Number: 5, Pages: 1106–1115 Pages count : 10 DOI: 10.1134/S0037446626050101
Tags prefix rewriting, term rewriting, information system, object-oriented data
Authors Gutman A.E. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia

Funding (1)

1 Министерство науки и высшего образования РФ FWNF-2026-0022

Abstract: For an arbitrary prefix rewriting system, algorithms are described for recognizing recurrent words and verifying their existence, a new finite recurrence basis is proposed, and conditions for the existence of weakly recurrent words are obtained, together with a relation between such words and infinite chains of weak rewriting.
Cite: Gutman A.E.
Object-oriented data via prefix rewriting. Part III: Recurrence
Siberian Mathematical Journal. 2026. V.67. N5. P.1106–1115. DOI: 10.1134/S0037446626050101
Original: Гутман А.Е.
Объектно-ориентированные данные и префиксная перезапись. Часть III: Рекуррентность
Сибирский математический журнал. 2026. Т.67. №5. С.891–902. DOI: 10.33048/smzh.2026.67.510
Dates:
Submitted: Jul 15, 2026
Accepted: Aug 3, 2026
Published print: Sep 30, 2026
Published online: Sep 30, 2026
Identifiers: No identifiers
Altmetrics: