@article{ITA_2000__34_6_467_0, author = {Ilie, Lucian and Plandowski, Wojciech}, title = {Two-variable word equations}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {467--501}, publisher = {EDP-Sciences}, volume = {34}, number = {6}, year = {2000}, mrnumber = {1844714}, zbl = {0977.68070}, language = {en}, url = {http://archive.numdam.org/item/ITA_2000__34_6_467_0/} }
TY - JOUR AU - Ilie, Lucian AU - Plandowski, Wojciech TI - Two-variable word equations JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2000 SP - 467 EP - 501 VL - 34 IS - 6 PB - EDP-Sciences UR - http://archive.numdam.org/item/ITA_2000__34_6_467_0/ LA - en ID - ITA_2000__34_6_467_0 ER -
%0 Journal Article %A Ilie, Lucian %A Plandowski, Wojciech %T Two-variable word equations %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2000 %P 467-501 %V 34 %N 6 %I EDP-Sciences %U http://archive.numdam.org/item/ITA_2000__34_6_467_0/ %G en %F ITA_2000__34_6_467_0
Ilie, Lucian; Plandowski, Wojciech. Two-variable word equations. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 34 (2000) no. 6, pp. 467-501. http://archive.numdam.org/item/ITA_2000__34_6_467_0/
[1] Finding patterns common to a set of strings. J. Comput. System Sci. 21 (1980) 46-62. | MR | Zbl
,[2] Recent results in Sturmian words, edited by J. Dassow, G. Rozenberg and A. Salomaa, Developments in Language Theory II, World Sci. Publishing (1996) 13-24. | MR | Zbl
,[3] Word equations with two variables, in Proc. of IWW-ERT'91, edited by H. Abdulrab and J. P. Pecuchet. Springer, Berlin, Lecture Notes in Comput Sci. 667 (1991) 43-57. | MR | Zbl
and ,[4] Combinatorics of words, edited by G. Rozenberg and A. Salomaa, Handbook of Formal Languages. Springer, Berlin (1997) 329-438. | MR
and ,[5] Some combinatorial properties of sturmian words. Theoret. Comput. Sci. 136 (1994) 361-385. | MR | Zbl
and ,[6] Efficient solving of the word equations in one variable, in Proc. of MFCS'94. Springer, Berlin, Lecture Notes in Comput. Sci. 841 (1994) 336-341. | MR
, and ,[7] Equations in free semigroups. Trudy Mat. Inst. Steklov 107 (1971). English transl. Proc Steklov Inst. of Mathematics 107 (1971). Amer. Math. Soc. (1976). | MR | Zbl
,[8] Decision problems for patterns. J. Comput. System Sci. 50 (1995) 53-63. | MR | Zbl
, , and ,[9] The expressibility of languages and relations by word equations, in Proc. of ICALP'97. Springer, Berlin, Lecture Notes in Comput. Sci. 1256 (1997) 98-109. | MR
, and ,[10] Complexity of Makanin's algorithm. J. A CM 43 (1996) 670-684. | MR | Zbl
and ,[11] Combinatorics on Words. Addison-Wesley, Reading, MA (1983. | MR | Zbl
,[12] The problem of solvability of equations in a free semigroup. Mat. Sb. 103 (1977) 147-233. English transl, in Math. U.S.S.R. Sb. 32 (1977). | MR | Zbl
,[13] Mots infinis en arithmetique, edited by M. Nivat and D. Perrin, Automata on infinite words. Springer, Berlin, Lecture Notes in Comput. Sci. 192 (1984). | MR | Zbl
,[14] On Systems of equations in a free group. Math. USSR Izvestija 25 (1985) 115-162. | MR | Zbl
,[15] On Systems of equations in a free group. Ph. D. Thesis, Moscow State University (1987).
,[16] Elementary Theory of Numbers. Elseviers Science Publishers B.V., Amsterdam, and PWN - Polish Scientific Publishers, Warszawa (1988). | MR | Zbl
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