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A Characteristic Set Method for Solving Boolean Equations

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Background CS <strong>Method</strong> Implementation Experiment Conclusion<br />

Disjoint Monic Zero Decomposition Theorem<br />

Theorem (DMZDT)<br />

We can find monic chains Aj, j = 1, . . . , s such that<br />

Zero(P) = ∪ s i=1 Zero(Ai)<br />

and Zero(Ai) ∩ Zero(Aj) = ∅ <strong>for</strong> i = j.<br />

As a consequence,<br />

|Zero(P)| =<br />

s<br />

2 dim(Ai )<br />

.<br />

i=1

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