
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let the universal set $U=\mathbb{R}$, and the sets $E=\{y|y>2\}$, $F=\{y|y=x^2-2x, -1<x<2\}$.
(1) Find $(\complement_{U}E) \cap F$;
(2) If the set $G=\{y|y=\log_{2}x, 0<x<a\}$ satisfies $G \cap F = F$, find the range of values for the positive real number $a$.

Present the answer in LaTex format: \boxed{Your answer}
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