11-Completeness of the Computable Categoricity Problem for Projective Planes


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Abstract

Computable presentations for projective planes are studied. We prove that the problem of computable categoricity is ∏11-complete for the following classes of projective planes: Pappian projective planes, Desarguesian projective planes, arbitrary projective planes.

About the authors

N. T. Kogabaev

Sobolev Institute of Mathematics; Novosibirsk State University

Author for correspondence.
Email: kogabaev@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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