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Lower bounds for the complexity of restrictions of Boolean functions. (English) Zbl 1006.94035
Given a Boolean function $$f$$ and a set $$M$$ of domains, the circuit size complexity of the most complicated restriction of $$f$$ to some domain in $$M$$ is studied. Upper and lower bounds, depending on the domain size, are established for wide classes of Boolean functions. Similar results for other complexity measures (e.g., formula size) are given.

##### MSC:
 94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010) 68Q25 Analysis of algorithms and problem complexity 03D15 Complexity of computation (including implicit computational complexity)
##### Keywords:
Boolean function; circuit size complexity
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##### References:
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