On the word problem for special semigroups
Izvestiya. Mathematics , Tome 13 (1979) no. 3, pp. 663-676.

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An algorithm is constructed which solves the word problem for special semigroups with overlapping of defining words less than $\frac13$. Bibliography: 4 titles.
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E. V. Kashincev. On the word problem for special semigroups. Izvestiya. Mathematics , Tome 13 (1979) no. 3, pp. 663-676. http://geodesic.mathdoc.fr/item/IM2_1979_13_3_a5/

[1] Adyan S. I., “Opredelyayuschie sootnosheniya i algoritmicheskie problemy dlya grupp i polugrupp”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 85, 1966, 3–123

[2] Lyndon R. S., “On Dehn's Algorithm”, Math. Ann., 166 (1966), 208–228 | DOI | MR | Zbl

[3] Kashintsev E. V., “Grafy i problema tozhdestva dlya konechnoopredelennykh polugrupp”, Uch. zap. Tulskogo pedinstituta, 2 (1970), 290–302

[4] Kashintsev E. V., “K probleme tozhdestva dlya spetsialnykh polugrupp”, IV Vsesoyuzn. konferentsiya po matem. logike, 1976, 58