
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
Consider the following three propositions: 
"① $0 < \frac{1}{2} < 1$. 
② The function $f(x) = \log_{\frac{1}{2}}x$ is a decreasing function. 
③ For $0 < a < 1$, the function $f(x) = \log_{a}x$ is a decreasing function." 
Which one constitutes the "minor premise" when they form a syllogism?

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