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Translational lemmas, polynomial time, and \((\log n)^j\)-space. (English) Zbl 0326.68030


MSC:

68Q25 Analysis of algorithms and problem complexity
68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
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References:

[1] Book, R., On languages accepted in polynomial time, SIAM J. Comput., 1, 281-287 (1972) · Zbl 0235.68027
[2] Book, R., Comparing complexity classes, J. Comput. System Sci., 9, 213-229 (1974) · Zbl 0331.02020
[3] Cobham, A., The intrinsic computational difficulty of functions, (Proc. 1964 Congress for Logic, Math., and Phil. of Sci. (1964), North-Holland: North-Holland Amsterdam), 24-30
[4] Cook, S., Characterizations of pushdown machines in terms of time-bounded computers, J. ACM, 18, 4-18 (1971) · Zbl 0222.02035
[5] Cook, S., The complexity of theorem-proving procedures, Proc. Third ACM Symposium on Theory of Computing, 151-158 (1971) · Zbl 0253.68020
[6] Cook, S., A hierarchy for nondeterministic time complexity, Proc. Fourth ACM Symposium on Theory of Computing, 187-192 (1972) · Zbl 0361.68074
[7] Greibach, S., The hardest context-free language, SIAM J. Comput., 2, 304-310 (1973) · Zbl 0278.68073
[8] Hartmanis, J.; Stearns, R., On the computational complexity of algorithms, Trans. Am. Math. Soc., 117, 285-306 (1965) · Zbl 0131.15404
[9] Ibarra, O., A note concerning nondeterministic tape complexities, J. ACM, 19, 608-612 (1972) · Zbl 0245.94044
[10] Karp, R., Reducibilities among combinational problems, (Miller, R.; Thatcher, J., Complexity of Computer Computations (1972), Plenum Press: Plenum Press New York)
[11] Rogers, H., Theory of Recursive Functions and Effective Computability (1967), McGraw-Hill: McGraw-Hill New York · Zbl 0183.01401
[12] Ruby, S.; Fischer, P. C., Translational methods and computational complexity, Conf. Record IEEE Sixth Annual Symp. on Switching Circuit Theory and Logical Design, 173-178 (1965) · Zbl 0257.68037
[13] Savitch, W., Relationships between nondeterministic and deterministic tape complexity, J. Comput. System Sci., 4, 177-192 (1970) · Zbl 0188.33502
[14] Stearns, R.; Hartmanis, J.; Lewis, P., Hierarchies of memory limited computations, Conf. Record IEEE Sixth Annual Symposium on Switching Circuit Theory and Logical Design, 179-190 (1965) · Zbl 0229.02033
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