Boolean Functions

In this chapter we consider increasingly general classes of functions.
We first examine lower bounds for tree functions in Section
4.1 and prove
() oracle
queries are required to compute a tree function of *N* bits.

We define nondeterministic decision tree complexity in Section
4.2. We then prove that
() oracle queries
are required to compute any *N* bit Boolean function with
nondeterministic decision tree complexity *N* in Section
4.3. Finally in Section 4.4 we present our
most general result:
() oracle queries are
required to compute a class of Boolean functions that meet a
sensitivity condition and have deterministic decision tree complexity
*D*(*f* ).

- Tree Functions
- Nondeterministic Decision Tree Complexity
- Nondeterministically Evasive Functions
- Sensitive Functions