Solving two-variable word equations (extended abstract)

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Abstract

We present an algorithm that solves word equations in two variables. It computes a polynomial size description of the equation's solutions in time O(n5). This additionally improves the result by Ilie and Plandowski [8] by giving the currently fastest algorithm to decide solvability of two-variable word equations. © Springer-Verlag Berlin Heidelberg 2004.

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Da̧browski, R., & Plandowski, W. (2004). Solving two-variable word equations (extended abstract). Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3142, 408–419. https://doi.org/10.1007/978-3-540-27836-8_36

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