
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
The domain of the function $y=\log_{\frac{1}{2}}(x^{2}+2x-3)$ must be determined, and the monotonic increasing interval of this function is the restriction on the domain that allows the function to be strictly increasing.

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