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Applications of complexity theory to Σo-definability Problems in arithmetic

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Model Theory of Algebra and Arithmetic

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 834))

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References

  1. J.H. Bennett, "On Spectra", Ph.D. dissertation, Princeton University, (1962).

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  2. K.L. Manders, "Computational Complexity of Decision Problems in Elementary Number Theory", this volume.

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  3. J. Meloul, "Rudimentary Predicates, Low Complexity Classes and Related Automata", D.Phil. dissertation, Oxford University, (1979).

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  4. V.A. Nepomnjascii, "Rudimentary Interpretations of Two-Tape Turing Computation", Kebernetika, 6, (1970). Translated in: Cybernetics, December (1972).

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  5. R. Parikh, "Existence and Feasibility in Arithmetic", J.S.L. 36, (1971).

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  6. R. Smullyan, "Theory of Formal Systems", Annals of Mathematics Studies no. 47, Princeton University Press, (1961).

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Leszek Pacholski Jedrzej Wierzejewski Alec J. Wilkie

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© 1980 Springer-Verlag

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Wilkie, A.J. (1980). Applications of complexity theory to Σo-definability Problems in arithmetic. In: Pacholski, L., Wierzejewski, J., Wilkie, A.J. (eds) Model Theory of Algebra and Arithmetic. Lecture Notes in Mathematics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090174

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  • DOI: https://doi.org/10.1007/BFb0090174

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10269-4

  • Online ISBN: 978-3-540-38393-2

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