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Nondeterminism within P

  • Complexity I
  • Conference paper
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STACS 91 (STACS 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 480))

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Abstract

Classes of machines using very limited amounts of nondeterminism are studied. The P=? NP question is related to questions about classes lying within P. Complete sets for these classes are given.

(Extended Abstract)

Supported in part by a grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada.

Supported in part by National Science Foundation grant number RII-9003056. Much of this work done while a postdoc at Dartmouth College.

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References

  1. K. R. Abrahamson, J. A. Ellis, M. R. Fellows and M. E. Mata, “On the Complexity of Fixed Parameter Problems,” in 30th Annual Symposium on Foundations of Computer Science, IEEE Computer Society Press, 1989, pp. 210–215.

    Google Scholar 

  2. K. R. Abrahamson, J. A. Ellis, M. R. Fellows and M. E. Mata, “Completeness for Families of Fixed Parameter Problems,” manuscript, 1990.

    Google Scholar 

  3. C. Àlvarez, J. Díaz and J. Torán, “Complexity Classes With Complete Problems Between P and NP-Complete,” in Foundations of Computation Theory, Lecture Notes in Computer Science 380, Springer-Verlag, 1989.

    Google Scholar 

  4. J. F. Buss and J. Goldsmith, “Nondeterminism Within P,” submitted to SIAM J. Computing, 1990.

    Google Scholar 

  5. S. R. Buss, personal communication.

    Google Scholar 

  6. S. A. Cook, “Short Propositional Formulas Represent Nondeterministic Computations,” Inform. Process. Lett. 26 (1987/88) 269–270.

    Article  Google Scholar 

  7. J. Díaz and J. Torán, “Classes of Bounded Nondeterminism,” Math. Systems Theory 23 (1990) 21–32.

    Article  Google Scholar 

  8. J. G. Geske, On the Structure of Intractable Sets, Ph.D. thesis, Iowa State University, 1987.

    Google Scholar 

  9. Y. Gurevich and S. Shelah, “Nearly Linear Time,” in A. R. Meyer and M. A. Taitslin, eds., Logic at Botik '89, Lecture Notes in Computer Science 363, Springer-Verlag, 1989, pp. 108–118.

    Google Scholar 

  10. H. B. Hunt III and R. E. Stearns, “The Complexity of Very Simple Boolean Formulas with Applications,” SIAM J. Computing 19 (1990) 44–70.

    Article  Google Scholar 

  11. R. Kaye, “Characterizing some low complexity classes using theories of arithmetic,” M.Sc. thesis, University of Manchester, 1985.

    Google Scholar 

  12. C. M. R. Kintala and P. C. Fischer, “Refining Nondeterminism in Relativized Polynomial-Time Bounded Computations,” SIAM J. Computing 9 (1980) 46–53.

    Article  Google Scholar 

  13. N. Pippenger, “Fast Simulation of Combinational Logic Circuits by Machines without Random-Access Storage,” in Fifteenth Allerton Conference on Communication, Control, and Computing, 1977, pp. 25–33.

    Google Scholar 

  14. B. Poizat, “Q=NQ?”, J. Symbolic Logic 51 (1986) 22–32.

    Google Scholar 

  15. C. P. Schnorr, “Satisfiability is Quasilinear Complete in NQL,” J. Assoc. Comput. Mach. 25 (1978) 136–145.

    Google Scholar 

  16. M. J. Wolf, “Nondeterministic Circuits, Space Complexity and Quasigroups,” Technical report 870, Dept. of Computer Science, U. Wisconsin, 1989.

    Google Scholar 

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Christian Choffrut Matthias Jantzen

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© 1991 Springer-Verlag Berlin Heidelberg

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Buss, J.F., Goldsmith, J. (1991). Nondeterminism within P . In: Choffrut, C., Jantzen, M. (eds) STACS 91. STACS 1991. Lecture Notes in Computer Science, vol 480. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020811

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  • DOI: https://doi.org/10.1007/BFb0020811

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  • Print ISBN: 978-3-540-53709-0

  • Online ISBN: 978-3-540-47002-1

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