
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 lines $l$ and $m$ and planes $\alpha$ and $\beta$, with $l \subset \alpha$ and $m \subset \beta$, determine the correct proposition(s) among the following (fill in the correct proposition number):
① If $l \parallel m$, then $\alpha \parallel \beta$;  
② If $l \perp m$, then $\alpha \perp \beta$;  
③ If $l \perp \beta$, then $\alpha \perp \beta$;  
④ If $\alpha \perp \beta$, then $m \perp \alpha$.

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