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Gutman A.E.
Object-oriented data via prefix rewriting. Part III: Recurrence [in Russian] //
Sib. Matem. Zh. 2026. V. 67, N 5. P. 891–902.

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.

Keywords:prefix rewriting, term rewriting, information system, object-oriented data.
Type Article
Authors Gutman Alexander Efimovich
Title Object-oriented data via prefix rewriting. Part III: Recurrence
Journal Sibirskii Matematicheskii Zhurnal
Year 2026
Volume 67
Number 5
Pages 891–902
DOI 10.33048/smzh.2026.67.510
Language Russian
© 2026.07.15
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Project  Rewriting systems 
Representation of object-oriented data by means of prefix rewriting systems, and development of the theory
 
 
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September 19, 2026