A study on monotone self-dual Boolean functions |
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| Authors: | Mustafa Altun Marc D. Riedel |
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| Affiliation: | 1.Electronics and Communication Engineering,Istanbul Technical University,Istanbul,Turkey;2.Electrical and Computer Engineering,University of Minnesota,Minneapolis,USA |
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| Abstract: | This paper shows that monotone self-dual Boolean functions in irredundant disjuntive normal form (IDNF) do not have more variables than disjuncts. Monotone self-dual Boolean functions in IDNF with the same number of variables and disjuncts are examined. An algorithm is proposed to test whether a monotone Boolean function in IDNF with n variables and n disjuncts is self-dual. The runtime of the algorithm is O(n3). |
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