How does algebra help to solve problems from the theory of algorithms (an example)

Yuri Leonidovich Ershov. How does algebra help to solve problems from the theory of algorithms (an example). In Andrei P. Ershov, Donald E. Knuth, editors, Algorithms in Modern Mathematics and Computer Science, Proceedings, Urgench, Uzbek SSR, September 16-22, 1979. Volume 122 of Lecture Notes in Computer Science, pages 462-463, Springer, 1979.

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