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arxiv: 1609.03371 · v1 · pith:IZ3CZKH2new · submitted 2016-09-12 · 🧮 math.LO

Calibrating word problems of groups via the complexity of equivalence relations

classification 🧮 math.LO
keywords wordequivalencefinitelygroupproblemcomputablegeneratedpermutations
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(1) There is a finitely presented group with a word problem which is a uniformly effectively inseparable equivalence relation. (2) There is a finitely generated group of computable permutations with a word problem which is a universal co-computably enumerable equivalence relation. (3) Each c.e. truth-table degree contains the word problem of a finitely generated group of computable permutations.

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