Immunity and simplicity in relativizations of probabilistic complexity classes

José L. Balcázar; David A. Russo

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1988)

  • Volume: 22, Issue: 2, page 227-244
  • ISSN: 0988-3754

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Balcázar, José L., and Russo, David A.. "Immunity and simplicity in relativizations of probabilistic complexity classes." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 22.2 (1988): 227-244. <http://eudml.org/doc/92307>.

@article{Balcázar1988,
author = {Balcázar, José L., Russo, David A.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {simple sets; relativization; oracles; immune sets; probabilistic complexity classes},
language = {eng},
number = {2},
pages = {227-244},
publisher = {EDP-Sciences},
title = {Immunity and simplicity in relativizations of probabilistic complexity classes},
url = {http://eudml.org/doc/92307},
volume = {22},
year = {1988},
}

TY - JOUR
AU - Balcázar, José L.
AU - Russo, David A.
TI - Immunity and simplicity in relativizations of probabilistic complexity classes
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1988
PB - EDP-Sciences
VL - 22
IS - 2
SP - 227
EP - 244
LA - eng
KW - simple sets; relativization; oracles; immune sets; probabilistic complexity classes
UR - http://eudml.org/doc/92307
ER -

References

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  2. 2. T. BAKER, J. GILL and R. SOLOVAY, Relativizations of the P=? NP question, S.I.A.M. J. Computing, Vol. 4, 1975, pp. 431-442. Zbl0323.68033MR395311
  3. 3. J. L. BALCÁZAR, Simplicity, Relativizations and Nondeterminism, S.I.A.M. J. Computing, Vol. 14, 1985, pp. 148-157. Zbl0567.68027MR774935
  4. 4. J. GESKE and J. GROLLMAN, Relativizations of Unambiguous and Random Polynomial Time Classes, S.I.A.M. J. Computing, Vol. 15, 1986, pp. 511-519. Zbl0609.68038MR837599
  5. 5. J. GILL, Computational Complexity of Probabilistic Turing Machines, S.I.A.M. J. Computing, Vol. 6, 1977; pp. 675-695. Zbl0366.02024MR464691
  6. 6. Ph. FLAJOLET and J. M. STEYAERT, Une généralization de la notion d'ensemble immune, R.A.I.R.O., Vol. 8, R-l, 1974, pp. 37-48. Zbl0283.02034MR349364
  7. 7. S. HOMER and W. MAASS, Oracle Dependent Properties of the Lattice of NP Sets, Theoret. Comput. Sci., Vol. 24, 1983, pp. 279-289. Zbl0543.03024MR716824
  8. 8. J. E. HOPCROF and J. D. ULLMAN, Introduction to Automata Theory, Languages, and Computation, Addison-Wesley, 1979. Zbl0426.68001MR645539
  9. 9. Ch. RACKOFF, Relativized Questions Involving Probabilistic Algorithms, Proc. 10th A.C.M. Symp. Theory of Computing, 1978, pp. 338-342. Zbl1282.68158MR521067
  10. 10. Ch. RACKOFF, Relativized Questions Involving Probabilistic Algorithms, J. Assoc. Comput. Math., Vol. 29, 1982, pp. 261-268. Zbl0477.68037MR662622
  11. 11. D. A. Russo and S. ZACHOS, Positive Relativizations of Probabilistic Polynomial Time, Submitted for publication. 
  12. 12. U. SCHÖNING, Complexity and Structure, Lecture Notes in Computer Science, Vol. 211, Springer-Verlag, 1986. Zbl0589.03022MR827009
  13. 13. U. SCHÖNING and R. BOOK, Immunity, Relativizations, and Nondeterminism, S.I.A.M. J. Computing, Vol. 13, 1984, pp. 329-337. Zbl0558.68039MR739993
  14. 14. L. VALIANT, Relative Complexity of Checking and Evaluating, Inf. Proc. Letters Vol. 5, 1976, pp. 20-23. Zbl0342.68028MR403318
  15. 15. S. ZACHOS, Probabilistic Quantifiers, Adversaries, and Complexity Classes: an Overview, Proc. Conference on Structure in Complexity Theory, Lecture Notes in Computer Science, Vol. 223, Springer-Verlag, 1986, pp. 383-400. Zbl0632.03035MR854910

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