
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
Given the sets $A=\left\{x \mid \log_{2}(x^2-2x-8) < 4\right\}$ and $B=\left\{x \mid \frac {1}{4} < 2^{x^2-x} < 64\right\}$.  
(1) Find $(\complement_{\mathbb{R}} A) \cup B$;  
(2) If $(a, a+1) \subseteq B$, find the range of values for $a$.

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