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References
M.H. Albert, J. Lawrence, A proof of Ehrenfeucht's Conjecture, Theoretical Computer Science 41 (1985) 121–123.
K. Culik II, J. Karhumäki, System of equations over a free monoid and Ehrenfeucht's Conjecture, Discrete Math. 43 (1983) 139–153.
S. Eilenberg, M.P. Schützenberger, Rational sets in commutative monoids, J. of Algebra 13 (1969) 173–191.
T. Harju, J. Karhumäki, W. Plandowski, Compactness of systems of equations in semigroups, manuscript, 1994.
M.I. Kargapolov, J. Merzlakov, “Theory of Groups”, Nauka, Moscow, 1982.
J. Karhumäki, The Ehrenfeucht Conjecture: A compactness claim for finitely generated free semigroups, Theoretical Computer Science 29 (1984) 285–308.
J. Karhumäki, On recent trends in formal language theory, in Lect. Notes in Computer Science 267 (1987) 136–162.
J. Karhumäki, W. Plandowski, On the defect effect of many identities in free semigroups, manuscript, 1993.
J. Karhumäki, W. Plandowski, On the size of independent systems of equations in semigroups, manuscript, 1994.
J. Karhumäki, W. Plandowski, W. Rytter, Polynomial size test sets for context-free languages, JCSS (to appear).
G. Lallement, “Semigroups and Combinatorial Applications”, John Wiley and Sons, New York, 1979.
J. Lawrence, The nonexistence of finite test set for set-equivalence of finite substitutions, Bull. EATCS 28 (1986) 34–37.
M. Lothaire, “Combinatorics on Words”, Addison-Wesley Publishing Company, Massachussets, 1983.
A. de Luca, A. Restivo, On a generalization of a conjecture of Ehrenfeucht, Bull. EATCS 30 (1986) 84–90.
A.A. Muchnik, A.L. Semenov, “Jewels of Formal Languages”, (Russian translation of a book by A. Salomaa), Mir, Moscow, 1986.
L. Redei, “The Theory of Finitely Generated Commutative Semi-Groups” Oxford-Edinburgh-New York, 1965.
J.-C. Spehner, “Quelques Problemes d'Extension, de Conjugaison et de Presentation des Sous-Monoides d'Un Monoide Libre”, Phd Thesis, Universite Paris VII, 1976.
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Karhumäki, J., Plandowski, W. (1994). On the size of independent systems of equations in semigroups. In: Prívara, I., Rovan, B., Ruzička, P. (eds) Mathematical Foundations of Computer Science 1994. MFCS 1994. Lecture Notes in Computer Science, vol 841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58338-6_91
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