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Categoricity in Restricted Classes

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New Computational Paradigms (CiE 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3526))

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Abstract

It is well known that only a few structures can be described up to isomorphism by their elementary theories in the class of all models of fixed cardinality. Unfortunately, most of the natural and interesting structures fail to have this property.

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References

  1. Morozov, A.: On the theories of classes of recursive permutation groups. Siberian Advances in Mathematics 1(1), 138–153 (1991)

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  2. Nies, A.: Separating classes of groups by first–order sentences. Internat. J. Algebra Comput. 13, 287–302 (2003)

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  3. Morozov, A.S., Nies, A.: Finitely generated groups and first order logic. Journal of the London mathematical society (to appear)

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  4. Tennenbaum, S.: Non-archimedean models for arithmetic. Notices of the American Mathematical Society 6, 270 (1959)

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© 2005 Springer-Verlag Berlin Heidelberg

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Morozov, A. (2005). Categoricity in Restricted Classes. In: Cooper, S.B., Löwe, B., Torenvliet, L. (eds) New Computational Paradigms. CiE 2005. Lecture Notes in Computer Science, vol 3526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494645_43

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  • DOI: https://doi.org/10.1007/11494645_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26179-7

  • Online ISBN: 978-3-540-32266-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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