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Mathematics

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Claremont Colleges

2010

Algebra

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Minimal Circuits For Very Incompletely Specified Boolean Functions, Richard Strong Bowen May 2010

Minimal Circuits For Very Incompletely Specified Boolean Functions, Richard Strong Bowen

HMC Senior Theses

In this report, asymptotic upper and lower bounds are given for the minimum number of gates required to compute a function which is only partially specified and for which we allow a certain amount of error. The upper and lower bounds match. Hence, the behavior of these minimum circuit sizes is completely (asymptotically) determined.