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Complexity of theorem-proving procedures: Some general properties. (English) Zbl 0302.68098


MSC:

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)

References:

[1] AUSIELLO G., Complexity hounded universal fonctions, Conference Record of the International Symposium on Theory of machines and Computations, Haifa, 1971. · Zbl 0225.02025
[2] BLUM M., A machine independent theory of complexity of recursive fonction, JACM 14, 1967, pp. 322-336. Zbl0155.01503 MR235912 · Zbl 0155.01503 · doi:10.1145/321386.321395
[3] , BUNDY A.There is no best proof procedure, ACM SIGART Newsletter, Dec. 1971, pp. 6-7.
[4] COOK S. A., The complexity of theorem-proving procedures, III Annual Symposium on Theory of computation, Ohio, 1971, pp. 151-158. Zbl0253.68020 · Zbl 0253.68020
[5] HARTMANIS J. and HOPCROFT J., An overview of the theory of computational complexity, JACM 18, 1971, pp. 444-475. Zbl0226.68024 MR288028 · Zbl 0226.68024 · doi:10.1145/321650.321661
[6] KOWALSKI R. and KUEHNER D., Linear resolution with selection fonction, Artificial Intelligence 2, 1971, pp. 227-260. Zbl0234.68037 MR436677 · Zbl 0234.68037 · doi:10.1016/0004-3702(71)90012-9
[7] LYNCH N., Recursive approximation to the halting problem, Rep. of the Tufts University, Medford, Masss., Jan. 1973, pp. 15.
[8] MELTZER B., Prolegomena to a Theory of efficiency of proof procedures, in ArtificialIntelligence and Heuristic programs, American Elzevier, 1971, pp. 15-33.
[9] MEYER A. R., An open problem on creative sets, SIGACT News, April 1973, pp. 20.
[10] RABIN M. O., Degrees of difficulty of Computing a fonction and a partial ordering of recursive sets, Tech, report n. 2, Jerusalem, 1960, pp. 18.
[11] ROGERS H., Theory of recursive functions and effective computability, McGraw Hill, 1967, pp. 472. Zbl0183.01401 MR224462 · Zbl 0183.01401
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