Title | ||
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Partitioning 1-variable Boolean functions for various classification of n-variable Boolean functions |
Abstract | ||
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AbstractThis paper addresses all possible equivalence classes of 1-variable Boolean functions and from these classes using recursion and Cartesian product of sets, 15 different ways of classifications of n-variable Boolean functions are obtained. The properties with regard to the size and the number of classes for these 15 different ways are also elaborated. |
Year | DOI | Venue |
---|---|---|
2015 | 10.1080/00207160.2014.975418 | Periodicals |
Keywords | Field | DocType |
integer partition, affine Boolean function, truth table, classification, carry value transformation, XOR operation, Hamming distance | Boolean network,Stone's representation theorem for Boolean algebras,Discrete mathematics,Boolean circuit,Boolean algebras canonically defined,Algebra,Parity function,Product term,Boolean expression,Two-element Boolean algebra,Mathematics | Journal |
Volume | Issue | ISSN |
92 | 10 | 0020-7160 |
Citations | PageRank | References |
3 | 0.38 | 5 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ranjeet Kumar Rout | 1 | 10 | 3.23 |
Pabitra Pal Choudhury | 2 | 69 | 28.27 |
Sudhakar Sahoo | 3 | 51 | 13.13 |
Camellia Ray | 4 | 4 | 0.73 |