
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 $m$ and $n$ are two different lines, and $\alpha$ and $\beta$ are two different planes.  
① If $m \subset \alpha$, $m \perp \beta$, then $\alpha \perp \beta$,  
② If $m \subset \alpha$, $\alpha \cap \beta = n$, $\alpha \perp \beta$, then $m \perp n$;  
③ If $m \subset \alpha$, $n \subset \beta$, $\alpha \parallel \beta$, then $m \parallel n$;  
④ If $m \parallel \alpha$, $m \subset \beta$, $\alpha \cap \beta = n$, then $m \parallel n$.  
Among the above propositions, the true ones are (fill in the serial numbers of all true propositions).

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