On Tuesday, March 11, 2014 11:26:13 AM UTC-7, Christian Nassau wrote:
>
> You could work in the polynomial ring generated by the ak, modulo the 
> relation ak**2 = ak
>

For which sage  wraps a specially optimized library PolyBoRi:

sage: R.<a,b,c>=BooleanPolynomialRing(3)
sage: (a+b+c)*(a+b)
a*c + a + b*c + b

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