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Symmetric and Threshold Boolean Functions Are Exhaustive

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3 Author(s)
Moret, B.M.E. ; Department of Computer Science, University of New Mexico ; Thomason, Michael, G. ; Gonzalez, Rafael C.

The worst-case number of variable evaluations (testing cost) of Boolean functions is examined. Following up on a result by Rivest and Vuillemin, we show that all symmetric as well as all linearly separable Boolean functions are exhaustive, that is, have a pessimal worst-case testing cost.

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Computers, IEEE Transactions on  (Volume:C-32 ,  Issue: 12 )