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Mathematics of Computation

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Majority decision functions of up to six variables


Authors: S. Muroga, I. Toda and M. Kondo
Journal: Math. Comp. 16 (1962), 459-472
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  • [1] Saburo Muroga, Iwao Toda, and Satoru Takasu, Theory of majority decision elements, J. Franklin Inst. 271 (1961), 376–418. MR 0129520
  • [2] Iwao Toda, Mamoru Kondo, and Saburo Muroga, Majority decision functions of six variables, Rev. Elec. Comm. Lab. 9 (1961), 253–278. MR 0145987
  • [3] Saburo Muroga, A computer program to find Boolean functions representable by a single logical element based on a majority decision principle, Rev. Elec. Comm. Lab. 8 (1960), 89–98. MR 0137327
  • [4] David Slepian, On the number of symmetry types of Boolean functions of 𝑛 variables, Canadian J. Math. 5 (1953), 185–193. MR 0056560
  • [5] B. Elspas, ``Self-complementary types of Boolean functions,'' IRE Trans. on Electronic Computers, v. EC-9, n. 2, 1960, p. 264-266.
  • [6] R. O. Winder, ``Single stage threshold logic,'' AIEE Conference Paper 60-1261, October 1960.
  • [7] Robert C. Minnick, Linear-input logic, IRE Trans. EC-10 (1961), 6–16. MR 0122655


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-62-99195-0
Article copyright: © Copyright 1962 American Mathematical Society