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A computable ℵ0-categorical structure whose theory computes true arithmetic

Published online by Cambridge University Press:  12 March 2014

Bakhadyr Khoussainov  and
Antonio Montalbán
Bakhadyr Khoussainov
Affiliation:
Department of Computer Science, Auckland University, Auckland, New Zealand. E-mail: bmk@cs.auckland.ac.nz
Antonio Montalbán
Affiliation:
Department of Mathematics, University of Chicago5734 S. University Ave. Chicago, Il 60637, USA. E-mail: antonio@math.uchicago.edu, URL: www.math.uchicago.edu/~antonio
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Abstract

We construct a computable ℵ0-categorical structure whose first order theory is computably equivalent to the true first order theory of arithmetic.

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 2 , June 2010 , pp. 728 - 740
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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