Linear separability
Barak.Pearlmutter@F.GP.CS.CMU.EDU
Barak.Pearlmutter at F.GP.CS.CMU.EDU
Tue Jun 6 06:52:25 EDT 2006
A simple reduction shows that linear separability of functions specified
by boolean circuits is NP-complete. If we let
g(x_0,...,x_n,x_{n+1},x_{n+2}) = f(x_0,...,x_i) AND (x_{n+1} XOR x_{n+2})
then f is satisfiable if and only if g is not linearly separable, so
linearly separability of boolean circuits must be NP-complete.
Barak Pearlmutter.
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