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An Overview of the Theory of Computational Complexity

Published: 01 July 1971 Publication History
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    References

    [1]
    AXT, P. Enumeration and the Grzegorczyk hierarchy. Z. Math. Logik Grundlagen Math. 9 (1963), 53-65.
    [2]
    BECVAR, J. Real-time and complexity problems in automata theory. Kybernetika 1 (1965), 475--497.
    [3]
    BLUM, N. On effective procedures for speeding up algorithms. Conf. Rec. ACM Symp. on Theory of Computing, 1969, pp. 43-53.
    [4]
    BORODIN, A., CONSTABLE, R. L., AND HOPCROFT, J .E . Dense and nondense families of complexity classes. IEEE Conf. Rec. Tenth Ann. Symp. on Switching and Automata Theory, 1969, pp. 7-19.
    [5]
    COBHAM, A. On the Hartmanis-Stearns problem for a class of tag machines. IEEE Conf. Rec. Ninth Ann. Symp. on Switching and Automata Theory, 1968, pp. 51-60.
    [6]
    CONSTABLE, R.L. The operator gap. IEEE Conf. Rec. Tenth Ann. Symp. on Switching and Automata Theory, 1969, pp. 20-26.
    [7]
    FISCHER, P. C. Multi-tape and infinite-state automata--a survey. Comm. ACM 8 (1965), 799--805.
    [8]
    FISCHER, P. C. The reduction of tape reversals for off-line one-tape Turing machines," J. Computer Systems Sciences 2 (1968), 136-147.
    [9]
    FISCHER, P. C., HARTMANIS J. AND BLUM M. Tape reversal complexity hierarchies. IEEE Conf. Rec. Ninth Ann. Syrup. on Switching and Automata Theory, 1968, pp. 373-382.
    [10]
    GRZEGORCZYK, A. Some classes of recursive functions. Rozprawy Mat. $, Warsaw, (1953), 1-45.
    [11]
    HARTMANIS, J. Tape reversal bounded Turing machine computations. J. Computer Systems Sciences 2 (1968), 117-135.
    [12]
    HENNIE, F. C. One-tape, off-line Turing machine computations. Inf. Conlr. 8 (1965), 553- 578.
    [13]
    HENNIE, F. C. Crossing sequences and off-line Turing machine computations. 1965 IEEE Conf. Rec. on Switching Circuit Theory and Logical Design, pp. 168-172.
    [14]
    HOPCROFT, J. E., AND ULLMAN, J.D. Relations between time and tape complexities. J. ACM 15 (1958), 414-427.
    [15]
    HOPCROFT, J. E., AND ULLMAN, J. D. Some results on tape bounded Turing machines," J. ACM 16 (1969), 168--177.
    [16]
    IRLAND, M. I., AND FISCHER, P.C. A bibliography on computational complexity. Res. Rep. CSRR 2028, U. of Waterloo, Ontario, Canada, Oct. 1970.
    [17]
    KARP, R.M. Some bounds on the storage requirements of sequential machines and Turing machines. J. ACM 1~ (1967), 478--489.
    [18]
    LEwis, P. M. II, STEARNS, R. E., AND HARTMANIS, J. Memory bounds for recognition of context-free and context-sensitive languages. 1965 IEEE Conf. Rec. on Switching Circuit Theory and Logical Design, pp. 191-202.
    [19]
    MCCREIGHT, E. M. Classes of computable functions defined by bounds on computation. Doctoral Th., Computer Sci. Dep., Carnegie-Mellon U., Pittsburgh, Pa., 1969.
    [20]
    MEYER, A. R., AND RITCHIE, D.M. The complexity of loop programs. Proc. ACM 22nd Nat. Conf., 1967, Psychonetics, Narberth, Pa., pp. 465-469.
    [21]
    RABIN, M.O. Real time computation. Israel J. Math. I (1964), 203-211.
    [22]
    RITCHIE, R.W. Classes of predictably computable functions. Trans. Amer. Math. Soc. 106 (1963), 139-173.
    [23]
    SAVlTCH, W. J. Deterministic simulation of non-deterministic Turing machines (detailed abstract). Conf. Rec. ACM Symp. on Theory of Computing, 1969, pp. 247-248.
    [24]
    TRAKHTENBROT, B.A. Turing computations with logorithmie delay. Algebra i Logika 3, ~, in Russian, (1964), 33-48.
    [25]
    YAMADA, H. Real-time computation and recursive functions not real-time computable," IRE Trans. Elec. Comp. EC-11 (1962), 753-760.

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    Published In

    cover image Journal of the ACM
    Journal of the ACM  Volume 18, Issue 3
    July 1971
    147 pages
    ISSN:0004-5411
    EISSN:1557-735X
    DOI:10.1145/321650
    Issue’s Table of Contents

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 July 1971
    Published in JACM Volume 18, Issue 3

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