Church-Rosser property and decidability of monadic theories of unary algebras
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 21 (1987) no. 3, pp. 323-329. 
@article{ITA_1987__21_3_323_0,
     author = {Ry\v{s}linkov\'a, Jana},
     title = {Church-Rosser property and decidability of monadic theories of unary algebras},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {323--329},
     publisher = {EDP-Sciences},
     volume = {21},
     number = {3},
     year = {1987},
     mrnumber = {910081},
     zbl = {0639.03008},
     language = {en},
     url = {http://archive.numdam.org/item/ITA_1987__21_3_323_0/}
}
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Ryšlinková, Jana. Church-Rosser property and decidability of monadic theories of unary algebras. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 21 (1987) no. 3, pp. 323-329. http://archive.numdam.org/item/ITA_1987__21_3_323_0/

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2. M. O. Rabin, Decidability of Second-Order Theories and Automata on Infinite Trees, T.A.M.S., 141, 1969. | MR | Zbl

3. M. Jantzen, Thue Systems and the Church-Rosser Property, M.F.C.S.'84, L.N.C.S., Vol. 175, pp. 80-95. | MR | Zbl