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Controlled relativizations of P and NP

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Theoretical Computer Science

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 145))

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References

  1. Baker, T., Gill, J. and Solovay, R., Relativizations of the P =? NP question. SIAM J. Computing, 4(1975), 431–442.

    Google Scholar 

  2. Bennett, C. and Gill, J., Relative to a random oracle A, PA ≠ NPA ≠ CO-NPA with probability 1. SIAM J. Computing, 10(1981), 96–113.

    Google Scholar 

  3. Book, R., Bounded query machines: on NP and PSPACE. Theoret. Comput. Sci., 15(1981), 27–39.

    Google Scholar 

  4. Book, R., Long, T. and Selman, A., Qualitative relativizations of complexity classes, in preparation.

    Google Scholar 

  5. Book, R., Long, T. and Selman, A., Quantitative relativizations of complexity classes, submitted for publication.

    Google Scholar 

  6. Book, R., Wilson, C. and Xu Mei-rui, Relativizing time, space, and time-space. SIAM J. Computing, 11(1982), 571–581.

    Google Scholar 

  7. Book, R. and Wrathall, C., Bounded query machines: on NP( ) and NPQUERY( ). Theoret. Comput. Sci., 15(1981), 41–50.

    Google Scholar 

  8. Breidbart, S., Splitting recursive sets. J. Comput. Syst. Sci., 17(1978), 56–64.

    Google Scholar 

  9. Homer, S. and Maass, W., Oracle dependent properties of the lattice of NP sets. Theoret. Comput. Sci., to appear.

    Google Scholar 

  10. Ladner, R., Lynch, N. and Selman, A., A comparison of polynomial-time reducibilities. Theoret. Comput. Sci., 1(1975), 103–123.

    Google Scholar 

  11. Long, T., Relativizing nondeterministic time, unpublished manuscript, 1981.

    Google Scholar 

  12. Long, T., Strong nondeterministic polynomial-time reducibilities. Theoret. Comput. Sci., 21(1982), 1–25.

    Google Scholar 

  13. Schöning, U., Relativization and infinite subsets of NP sets, unpublished manuscript, 1982.

    Google Scholar 

  14. Selman, A., Xu Mei-rui and Book, R., Positive relativizations of complexity classes. SIAM J. Computing, 12(1983), to appear.

    Google Scholar 

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Armin B. Cremers Hans-Peter Kriegel

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© 1982 Springer-Verlag Berlin Heidelberg

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Book, R.V., Long, T.J., Selman, A.L. (1982). Controlled relativizations of P and NP. In: Cremers, A.B., Kriegel, HP. (eds) Theoretical Computer Science. Lecture Notes in Computer Science, vol 145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036471

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  • DOI: https://doi.org/10.1007/BFb0036471

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11973-9

  • Online ISBN: 978-3-540-39421-1

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