Decidability of the Elementary Theory of a Torsion-Free Hyperbolic Group

Published 4 Mar 2013 in math.GR | (1303.0760v8)

Abstract: Let G be a torsion free hyperbolic group. We prove that the elementary theory of G is decidable and admits an effective quantifier elimination to boolean combination of AE-formulas. The existence of such quantifier elimination was previously proved by Sela.

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