@article { Gutman20260715, author = "Gutman A.E.", title = "Object-oriented data via prefix rewriting. Part III: Recurrence", journal = "Sib. Matem. Zh.", year = "2026", volume = "67", number = "5", pages = "891--902", doi = "10.33048/smzh.2026.67.510", language = "russian", annote = "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" }