What I mean is, is there an algorithm that given any finitely presented group with soluble word problem can solve the word problem on that group?
2026-03-25 01:21:32.1774401692
Is there an algorithm to solve all soluble group word problems?
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No. This is the Boone-Rogers theorem on unsolvability of the uniform word problem. It's actually mentioned in the Wikipedia article on the word problem. https://en.wikipedia.org/wiki/Word_problem_for_groups