The complexity of Boolean formula minimization

Journal of Computer and System Sciences - Tập 77 - Trang 142-153 - 2011
David Buchfuhrer1, Christopher Umans1
1Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA 91125, United States

Tài liệu tham khảo

Allender, 2008, Minimizing disjunctive normal form formulas and AC0 circuits given a truth table, SIAM J. Comput., 38, 63, 10.1137/060664537 Allender, 2010, The pervasive reach of resource-bounded Kolmogorov complexity in computational complexity theory, J. Comput. System Sci., 77, 14, 10.1016/j.jcss.2010.06.004 Allender, 2003, Derandomization and distinguishing complexity, 209 Devadas, 1994 Garey, 1979 E. Hemaspaandra, G. Wechsung. The minimization problem for Boolean formulas, in: FOCS, 1997, pp. 575–584. Hemaspaandra, 2002, The minimization problem for boolean formulas, SIAM J. Comput., 31, 1948, 10.1137/S0097539799362639 V. Kabanets, J.-Y. Cai, Circuit minimization problem, in: STOC, 2000, pp. 73–79. A.R. Meyer, L.J. Stockmeyer, The equivalence problem for regular expressions with squaring requires exponential space, in: FOCS, IEEE, 1972, pp. 125–129. Papadimitriou, 1994, Computational Stockmeyer, 1976, The polynomial-time hierarchy, Theoret. Comput. Sci., 3, 1, 10.1016/0304-3975(76)90061-X Schaefer C. Umans, The minimum equivalent DNF problem and shortest implicants, in: FOCS, 1998, pp. 556–563. C. Umans, Hardness of approximating Σ2P minimization problems, in: FOCS, 1999, pp. 465–474. Umans, 2001, The minimum equivalent DNF problem and shortest implicants, J. Comput. System Sci., 63, 597, 10.1006/jcss.2001.1775 Umans, 2006, Complexity of two-level logic minimization, IEEE Trans. CAD Integr. Circuits Syst., 25, 1230, 10.1109/TCAD.2005.855944