@article{ITA_1990__24_2_109_0, author = {Abdulrab, Habib}, title = {Solving word equations}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {109--130}, publisher = {EDP-Sciences}, volume = {24}, number = {2}, year = {1990}, mrnumber = {1073531}, zbl = {0701.68053}, language = {en}, url = {http://archive.numdam.org/item/ITA_1990__24_2_109_0/} }
TY - JOUR AU - Abdulrab, Habib TI - Solving word equations JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 1990 SP - 109 EP - 130 VL - 24 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/item/ITA_1990__24_2_109_0/ LA - en ID - ITA_1990__24_2_109_0 ER -
Abdulrab, Habib. Solving word equations. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 24 (1990) no. 2, pp. 109-130. http://archive.numdam.org/item/ITA_1990__24_2_109_0/
1. Résolution d'équations sur les mots: Étude et Implémentation LISP de l'Algorithme de Makanin, Thèse, Université of Rouen, 1987. And Rapport L.I.T.P. 87-25, University of Paris-VII, 1987.
,2. Implementation of Makanin's Algorithm, Rapport L.I.T.P. 87-72, octobre 1987.
,3. Theoretical Computer Science, Vol. 43, 1986, pp. 189-200. | MR | Zbl
and , Complete Sets of Unifiers and Matchers in Equational Theories,4. A Unification Algorithm For Second-Order Monadic Terms. The Mitre Corporation, Bedford, Massachusettes, 10, 1986.
,5. A Bound on Solutions of Linear Integer Equalities and Inequalities, Proc. of Amer. Math. Soc., 1978, pp. 155-158. | MR | Zbl
and ,6. An Algorithm For Integer Solutions to Linear Programs, Recent advances in mathematical programming, R. L. GRAVES et P. WOLFE Ed., p. 269-302. | MR | Zbl
,7. Equations in Free Semigroups, Trudy Mat. In st. Steklov, Vol. 107, 1971. | Zbl
,8. An Algorithm to Generate the Basis of Solutions to Homogeneous Linear Diophantine Equations, Inf. Proc. Let., Vol. 7, (3), 1978, pp. 144-145. | MR | Zbl
,9. Équations dans les monoïdes libres, Gauthier-Villars, Paris, 1972. | MR | Zbl
,10. A Combinatorial Problem in the Theory of Free Monoids, Proc. of the University of North-Carolina, 1967, pp. 128-144. | MR | Zbl
et ,10. Combinatorics on Words, Addison-Wesley Publishing Company, 1983. | MR | Zbl
,11. The Problem of Solvability of Equations in a Free Semigroup, Mat. Sb., 9 Vol. 103, (145), 1977, pp. 147-236. English transl. in Math. U.S.S.R. Sb., Vol. 32, 1977. | MR | Zbl
,12. Équations avec constantes et Algorithme de Makanin, Thèse, University of Rouen, 1981.
,13. Solutions principales et rang d'un système d'équations avec constantes dans le monoïde libre, Discrete Mathematics, Vol. 48, 1984, pp. 253-274. | MR | Zbl
,14. Proceeding of the Colloquium on Resolution of Equationsin Algebraic Structures (CREAS), Austin, 1987 (to appear). | MR
, Equations in Words: a Survey,