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The word problem for semigroups with two generators

Published online by Cambridge University Press:  12 March 2014

Marshall Hall Jr.
Marshall Hall Jr.*
Affiliation:
The Ohio State University
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Extract

Emil Post has shown that the word problem for Thue systems is unsolvable. A Thue system is a system of strings of letters x1, x2, …, xr, where a string or word is either void or a succession of letters a1a2 … at with each ai some xi. We are given a finite number of pairs of strings Ai, Bii = 1, …, m. Operations in the Thue system consist of the replacements or “productions.”

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 14 , Issue 2 , 23 June 1949 , pp. 115 - 118
Copyright
Copyright © Association for Symbolic Logic 1949

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References

Presented to the American Mathematical Society, December 29, 1948.

1 Emil, Post, Recursive unsolvability of a problem of Thue, this Journal, vol. 12 (1947), pp. 1–11.Google Scholar