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An arithmetical characterization of NP. (English) Zbl 0498.03023


MSC:

03D15 Complexity of computation (including implicit computational complexity)
03D20 Recursive functions and relations, subrecursive hierarchies
03D25 Recursively (computably) enumerable sets and degrees
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References:

[1] Adleman, L.; Manders, K., Diophantine complexity, Proc. 17th Annual IEEE Symposium on Foundations of Computer Science, 81-88 (1976)
[2] Davis, M., Computability and Unsolvability (1958), McGraw-Hill: McGraw-Hill New York · Zbl 0080.00902
[3] Garey, M.; Johnson, D., Computers and Intractability: A Guide to the Theory of NP-Completeness (1979), Freeman: Freeman San Francisco · Zbl 0411.68039
[4] Hanson, D., On the product of the primes, Canad. Math. Bull., 15, 33-37 (1972) · Zbl 0231.10008
[5] Harrow, K., The bounded arithmetic hierarchy, Information and Control, 36, 102-117 (1978) · Zbl 0374.02019
[6] Karp, R., Reducibility among combinatorial problems, (Miller, R. E.; Thatcher, J. W., Complexity of Computer Computations (1972), Plenum Press: Plenum Press New York), 85-104 · Zbl 0366.68041
[7] Matijasevič, Y., Enumerable sets are Diophantine, Dokl. Akad. Nauk SSSR. Dokl. Akad. Nauk SSSR, Soviet Math. Dokl., 11, 354-358 (1970), English translation · Zbl 0212.33401
[8] Stockmeyer, L., The polynomial-time hierarchy, Theoret. Comput. Sci., 3, 1-22 (1977) · Zbl 0353.02024
[9] Wrathall, C., Complete sets and the polynomial-time hierarchy, Theoret. Comput. Sci., 3, 23-33 (1977) · Zbl 0366.02031
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