Abstract
The goal of this article is to present formal parametric equations, used as a new tool for the computation of the general solution of word equation. The computation of the general solution is reduced here to the computation of a finite graph whose nodes are families of formal parametric equations, and whose arcs are labelled by some powerful transformations that can replace arbitrary long sequences of elementary transformations.
The main concepts (tables of polarisation, formal parametric transformations) and ideas of our approach are presented and demonstrated for the computation of a finite graph describing the general solution of word equations with three variables.
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© 1995 Springer-Verlag Berlin Heidelberg
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Makanin, G.S., Abdulrab, H., Maksimenko, M.N. (1995). Formal parametric equations. In: Reichel, H. (eds) Fundamentals of Computation Theory. FCT 1995. Lecture Notes in Computer Science, vol 965. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60249-6_67
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DOI: https://doi.org/10.1007/3-540-60249-6_67
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