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Complexity of Boolean functions SS 2019 Homework 2

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Norbert Blum

Complexity of Boolean functions SS 2019

Homework 2

10.04.2019

Exercise 1:

We have shown thatC0(fdecode(t) )≤2t+ (2t−2)2t2. What is the best upper bound which you can obtain?

Exercise 2:

a) Complete Casen = 3 in the proof of Theorem 2.2 of the lecture.

b) Prove Lemma 2.1 of the lecture.

Exercise 3:

Give some examples of symmetric functions.

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