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On the Relation between Boolean Curve Fitting and the Inverse Problem of Boolean Equations

2017
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journal of King Abdulaziz University Engineering Sciences
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This paper explores the similarities and differences between two prominent problems in the mathematics of Boolean functions. The first of these problems is that of Boolean curve fitting (BCF), also known as Boolean interpolation, which deals with constructing a curve 𝑧 = 𝑓(𝐗) through a number of points z𝑘 = 𝑓(𝐗𝑘 ) where 𝑘 = 1,2, ... , 𝑚. The second problem is the Inverse Problem of Boolean equations (IPBE), which constructs a Boolean function whose zeroes are all known. While the problem of

doi:10.4197/eng.28-2.1
fatcat:te65fstbpfaltkuciqi5kboary