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The complexity of logical theories. (English) Zbl 0475.03017

MSC:
03D15 Complexity of computation (including implicit computational complexity)
03D10 Turing machines and related notions
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References:
[1] Berman, L., Precise bounds for Presburger arithmetic and the reals with addition: preliminary report, Proc. 18th Annual IEEE Foundations of Computer Science Conference, 95-99, (1977)
[2] L. Berman, Complexity of QBF, to appear.
[3] Bruss, A.; Meyer, A., On time-space classes and their relation to the theory of real addition, Theoret. Comput. Sci., 11, 59-69, (1980), this journal. · Zbl 0467.03038
[4] A. Chandra, D. Kozen and L. Stockmeyer, Alternation, J. ACM, to appear.
[5] Ferrante, J.; Rackoff, C., A decision procedure for the first order theory of real addition with order, SIAM J. Comput., 4, 1, 69-76, (1975) · Zbl 0294.02022
[6] Fischer, M. J.; Rabin, M. O., Super exponential complexity of Presburger arithmetic, SIAM-AMS Proc., VII, (1974), AMS Providence, RI · Zbl 0319.68024
[7] Oppen, D. C., A 2^{2}^{2}^{pn} upper bound on the complexity of Presburger arithmetic, J. Comput. System Sci., 16, 3, 323-332, (1978) · Zbl 0381.03021
[8] Stockmeyer, L., The complexity of decision problems in automata theory and logic, (Project MAC, TR-133, (1974), MIT Cambridge, MA)
[9] Stockmeyer, L.; Meyer, A., Word problems requiring exponential time: preliminary report, Proc. 5th SIGACT, 1-9, (1973) · Zbl 0359.68050
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