Constructing Decidable Graphs from Decidable Structures


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Abstract

It is shown that every structure (including one in an infinite language) can be transformed into a graph that is bi-interpretable with the original structure, for which the full elementary diagrams can be computed one from the other.

About the authors

N. A. Bazhenov

Sobolev Institute of Mathematics; Novosibirsk State University

Author for correspondence.
Email: bazhenov@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090

M. Harrison-Trainor

Department of Pure Mathematics, University of Waterloo

Email: bazhenov@math.nsc.ru
Canada, Waterloo, ON, N2L 3G1

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