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No Counter-Example Interpretation and Interactive Computation

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Logic from Computer Science

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 21))

Abstract

No counter-example interpretation for bounded arithmetic is employed to derive recent witnessing theorem for S i+12 , functions □ P i+1 −computable with counterexamples are shown to include all □ P i+2 −functions, and two separation results for fragments of S 2(α) are proved.

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References

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© 1992 Springer-Verlag New York, Inc

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Krajíček, J. (1992). No Counter-Example Interpretation and Interactive Computation. In: Moschovakis, Y.N. (eds) Logic from Computer Science. Mathematical Sciences Research Institute Publications, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2822-6_11

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  • DOI: https://doi.org/10.1007/978-1-4612-2822-6_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7685-2

  • Online ISBN: 978-1-4612-2822-6

  • eBook Packages: Springer Book Archive

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