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A linear-time algorithm for testing the truth of certain quantified Boolean formulas. (English) Zbl 0398.68042


MSC:

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
03G05 Logical aspects of Boolean algebras
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References:

[1] Aho, A. V.; Hopcroft, I. E.; Ullman, J. D., The Design and Analysis of Computer Algorithms (1974), Addison-Wesley: Addison-Wesley Reading, MA · Zbl 0326.68005
[2] Cook, S. A., The complexity of theorem proving procedures, Proc. 3rd Ann. ACM Symp. Theory Comput., 151-158 (1971)
[3] Even, S.; Itai, A.; Shamir, A., On the complexity of timetable and multi-commodity flow problems, SIAM J. Comput., 5, 4, 691-703 (1976) · Zbl 0358.90021
[4] Reingold, E. M.; Nievergelt, J.; Deo, N., Combinatorial Algorithms: Theory and Practice (1977), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0367.68032
[5] Schaefer, T. J., The complexity of satisfiability problems, Proc. 10th Ann. ACM Symp. Theory Comput., 216-226 (1978) · Zbl 1282.68143
[6] Stockmeyer, L. J.; Meyer, A. R., Word problems requiring exponential time, Proc. 5th Ann. ACM Symp. Theory Comput., 1-9 (1973) · Zbl 0359.68050
[7] Tarjan, R. E., Depth first search and linear graph algorithms, SIAM J. Comput., 1, 2, 146-160 (1972) · Zbl 0251.05107
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