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Decidable sentences of Church-Rosser congruences. (English) Zbl 0525.68015

##### MSC:
 68Q65 Abstract data types; algebraic specification 03D03 Thue and Post systems, etc. 20M35 Semigroups in automata theory, linguistics, etc. 03B25 Decidability of theories and sets of sentences
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##### References:
 [1] Berstel, J., Congruences plus que parfaites et langages algébrique, (), 123-147 [2] Book, R., Confluent and other types of thue systems, J. assoc. comput. Mach., 29, 171-182, (1982) · Zbl 0478.68032 [3] Book, R., When is a monoid a group? the church-rosser case is tractable, Theoret. comput. sci., 18, 325-331, (1982) · Zbl 0489.68021 [4] Book, R.; Jantzen, M.; Wrathall, C., Monadic thue systems, Theoret. comput. sci., 19, 231-251, (1982) · Zbl 0488.03020 [5] Book, R.; Ó’Dúnlaing, C., Testing for the church-rosser property, Theoret. comput. sci., 16, 223-229, (1981) · Zbl 0479.68035 [6] Cochet, Y.; Nivat, M., Une généralisation des ensembles de Dyck, Israel J. math., 9, 389-395, (1971) · Zbl 0215.56005 [7] Hopcroft, J.; Ullman, J., Formal languages and their relation to automata, (1969), Addison-Wesley Reading, MA · Zbl 0196.01701 [8] Huet, G., Confluent reductions: abstract properties and applications to term rewriting systems, J. assoc. comput. Mach., 27, 797-821, (1980) · Zbl 0458.68007 [9] Hunt, H.; Rosenkrantz, D.; Szymanski, T., On the equivalence, containment, and covering problems for the regular and context-free languages, J. comput. systems sci., 12, 222-268, (1976) · Zbl 0334.68044 [10] Knuth, D.; Bendix, P., Simple word problems in universal algebras, (), 263-297 · Zbl 0188.04902 [11] Lallemont, G., Semigroups and combinatorial applications, (1979), Wiley New York [12] Meyer, A.; Stockmeyer, L., The equivalence problem for regular expressions with squaring requires exponential space, Proc. 13th IEEE symp. switching and automata theory, 125-129, (1972) [13] Nivat (avec M. Benois), M., Congruences parfaites et quasi-parfaites, Séminaire dubreil 25e année, (1971-1972), 7-01-09 [14] O’Donnell, M., Computing in systems described by equations, () · Zbl 0421.68038 [15] O’Dúnlaing, C., Finite and infinite regular thue systems, () · Zbl 0512.03018 [16] Rosen, B., Tree-manipulating systems and church-rosser theorems, J. assoc. comput. Mach., 20, 160-187, (1973) · Zbl 0267.68013
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