Abstract
This paper presents an introduction to Makanin's Algorithm, and discusses its potential role in the core of a programming system. The basic notions and steps are described via some examples. Some simplifications and improvements to this algorithm leading to an effective implementation are described. Particular attention is paid to the description of the elimination of equations with schemes which have no solution, the strategy of the construction of the algorithm's tree, the representation of position equations, and the resolution of systems of linear diophantine equations (SLDE). This last problem is presented here as a direct application of Gomory's algorithm finding integer solutions to SLDE. Our implementation of Makanin's algorithm presents an interactive system written in LISP and running on LISP Machine, and on VAX.
This work was also supported by the Greco de Programmation du CNRS and the PRC Programmation Avancée et Outils pour l'Intelligence Artificielle.
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© 1992 Springer-Verlag Berlin Heidelberg
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Abdulrab, H. (1992). Implementation of Makanin's Algorithm. In: Schulz, K.U. (eds) Word Equations and Related Topics. IWWERT 1990. Lecture Notes in Computer Science, vol 572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55124-7_3
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DOI: https://doi.org/10.1007/3-540-55124-7_3
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