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Alternation

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Published:01 January 1981Publication History
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References

  1. 1 AHO, A.V., HOPCROFT, J.E., AND ULLMAN, J.D. The Design and Analysis of Computer Algorithms. Addison-Wesley, Reading, Mass., 1974. Google ScholarGoogle Scholar
  2. 2 HERMAN, L. Precise bounds for Presburger arithmetic and the reals with addition. Proc. 18th IEEE Symp. on Foundations of Computer Science, Providence, R.I., 1977, pp. 95-99.Google ScholarGoogle Scholar
  3. 3 BORODIN, A. Personal communication.Google ScholarGoogle Scholar
  4. 4 CHANDRA, A.K., AND STOCKMEYER, L.J. Alternation. Proc. 17th 1EEE Symp. on Foundations of Computer Science, Houston, Texas, 1976, pp. 98-108.Google ScholarGoogle Scholar
  5. 5 COOK, S.A. The complexity of theorem proving procedures. Proc. 3rd ACM Symp. on Theory of Computing, Shaker Heights, Ohio, 1971, pp. 151-158. Google ScholarGoogle Scholar
  6. 6 FISCHER, M.J., AND LADNER, R.E. Propositional dynamic logic of regular programs. J. Comput. Syst. Sci. 18, 2 (1979), 194-211.Google ScholarGoogle Scholar
  7. 7 GOLDSCHLAGER, L.M. A unified approach to models of synchronous parallel machines. Proc. 10th ACM Symp. on Theory of Computing, San Diego, Calif. 1978, pp. 89-94. Google ScholarGoogle Scholar
  8. 8 HARTMANIS, J., AND HUNT, H.B. III. The LBA problem and its importance in the theory of computing. In Complexity of Computation, R.M. Karp, Ed., American Mathematical Society, Providence, R.I., 1974, pp. 1-26.Google ScholarGoogle Scholar
  9. 9 HARTMANIS, J., AND SIMON, J. On the power of multiplication in random access machines. Proc. 15th IEEE Symp. on Switching and Automata Theory, New Orleans, La., 1974, pp. 13-23.Google ScholarGoogle Scholar
  10. 10 HOPCROFT, J.E., AND ULLMAN, J.D. Formal Languages and their Relation to Automata. Addison- Wesley, Reading, Mass., 1969. Google ScholarGoogle Scholar
  11. 11 KARP, R.M. Reducibility among combinatorial problems. In Complexity of Computer Computations, R. E. Miller and J. W. Thatcher, Eds., Plenum Press, New York, 1972, pp. 85-104.Google ScholarGoogle Scholar
  12. 12 KASA'I, T., ADACHI, A., AND 1WATA, S. Classes of pebble games and complete problems. SIAM J. Comput. 8 (1979), 574-586.Google ScholarGoogle Scholar
  13. 13 KOZEN, D. On parallelism in Turing machines. Proc. 17th IEEE Symp. on Foundations of Computer Science, Houston, Texas, 1976, pp. 89-97.Google ScholarGoogle Scholar
  14. 14 KOZEN, D. Complexity of Boolean algebras. Theoret. Comput. ScL I0 (1980), 221-247.Google ScholarGoogle Scholar
  15. 15 LADNER, R.E., LIPTON, R.J., AND STOCKMEYER, L.J. Alternating pushdown automata. Proc. 19th 1EEE Symp. on Foundations of Computer Science, Ann Arbor, Mich., 1978.Google ScholarGoogle Scholar
  16. 16 MEYER, A.R., AND FISCHER, M.J. Economy of description of automata, grammars, and formal systems. Proc. 12th IEEE Symp. on Switching and Automata Theory, East Lansing, Mich., 1971, pp. 188-191.Google ScholarGoogle Scholar
  17. 17 PRATT, V.R., AND STOCKMEYER, L.J. A characterization of the power of vector machines. J. Comput. Syst. ScL 12 (1976), 198-221.Google ScholarGoogle Scholar
  18. 18 RABIN, M.O., AND SCOTT, D. Finite automata and their decision problems. IBM J. Res. Dev. 3 (1959), 115-125.Google ScholarGoogle Scholar
  19. 19 Rozzo, W.L. General context-free language recognition. Ph.D. Diss., Computer Science Division, Univ. of California, Berkeley, Calif., 1978. Google ScholarGoogle Scholar
  20. 20 SAVITCH, W.J. Relationships between nondeterministic and deterministic tape complexities. J. Comput. Syst. Sci 4 (1970), 177-192.Google ScholarGoogle Scholar
  21. 21 SAVITCH, W.J., AND STIMSON, M.J. The complexity of time bounded recursive computations. Proc. 1976 Johns Hopkins Conf. on Information Sciences and Systems, Baltimore, Md., pp. 42-46.Google ScholarGoogle Scholar
  22. 22 SCOTT, D. Outline of a mathematical theory of computation. Proc. 4th Ann. Princeton Conf. on Information Sciences and Systems, Princeton, N. J. 1970, pp. 169-176.Google ScholarGoogle Scholar
  23. 23 SIMON, J. On feasible numbers. Proc. 9th ACM Symp. on Theory of Computing, Boulder, Colo., 1977, pp. 195-207. Google ScholarGoogle Scholar
  24. 24 STOCKMEYER, L.J. The polynomial-time hierarchy. Theoret. Comput. ScL 3 (1977), 1-22.Google ScholarGoogle Scholar
  25. 25 STOCKMEYER, L.J., AND CHANDRA, A.K. Provably difficult combinatorial games. SIAM J. Comput. 8 (1979), 151-174.Google ScholarGoogle Scholar
  26. 26 STOCKMEYER, L.J., AND MEYER, A.R. Word problems requiring exponentialtime: Preliminary report. Proc. 5th ACM Symp. on Theory of Computing, Austin, Texas, 1973, pp. 1-9. Google ScholarGoogle Scholar
  27. 27 WRATHALL, C. Complete sets and the polynomial-time hierarchy. Theoret. Comput. ScL 3 (1977), 23-34.Google ScholarGoogle Scholar

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    • Published in

      cover image Journal of the ACM
      Journal of the ACM  Volume 28, Issue 1
      Jan. 1981
      190 pages
      ISSN:0004-5411
      EISSN:1557-735X
      DOI:10.1145/322234
      Issue’s Table of Contents

      Copyright © 1981 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 1 January 1981
      Published in jacm Volume 28, Issue 1

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