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Effective Categoricity of Injection Structures

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Models of Computation in Context (CiE 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6735))

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Abstract

We study computability theoretic properties of computable injection structures and the complexity of isomorphisms between these structures.

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References

  1. Ash, C.J., Knight, J.: Computable Structures and the Hyperarithmetical Hierarchy. In: Studies in Logic and the Foundations of Mathematics, vol. 144, North-Holland Publishing Co., Amsterdam (2000)

    Google Scholar 

  2. Calvert, W., Cenzer, D., Harizanov, V., Morozov, A.: Effective categoricity of equivalence structures. Annals of Pure and Applied Logic 141, 61–78 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Cenzer, D., Harizanov, V., Remmel, J.B.: \(\Sigma^0_1\) and \(\Pi^0_1\) equivalence structures. Annals of Pure and Applied Logic 162, 490–503 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  4. Cenzer, D., LaForte, G., Remmel, J.B.: Equivalence structures and isomorphisms in the difference hierarchy. Journal of Symbolic Logic 74, 535–556 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Cenzer, D., Remmel, J.B.: Feasibly categorical abelian groups. In: Clote, P., Remmel, J.B. (eds.) Feasible Math II, Proceedings 1992 Cornell Workshop, Birkhauser, pp. 91–153 (1995)

    Google Scholar 

  6. Khisamiev, N.G.: Constructive Abelian groups, In: Ershov, Y.L., Goncharov, S.S., Nerode, A., Remmel, J.B. (eds.) Handbook of Recursive Mathematics, vol. 2, pp. 1177–1231. North-Holland, Amsterdam (1998)

    Google Scholar 

  7. Soare, R.I.: Recursively Enumerable Sets and Degrees. Springer, Berlin (1987)

    Book  MATH  Google Scholar 

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Cenzer, D., Harizanov, V., Remmel, J.B. (2011). Effective Categoricity of Injection Structures. In: Löwe, B., Normann, D., Soskov, I., Soskova, A. (eds) Models of Computation in Context. CiE 2011. Lecture Notes in Computer Science, vol 6735. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21875-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-21875-0_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21874-3

  • Online ISBN: 978-3-642-21875-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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