
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
Let $\alpha$ and $\beta$ be two non-coincident planes. Then, among the following statements:  
① If two intersecting lines within $\alpha$ are parallel to two lines within $\beta$, then $\alpha \parallel \beta$  
② If a line $l$ outside $\alpha$ is parallel to a line within $\alpha$, then $l \parallel \alpha$  
③ If $\alpha$ intersects $\beta$ along line $l$, and there is a line within $\alpha$ perpendicular to $l$, then $\alpha \perpendicular \beta$  
④ $l \perpendicular \alpha \Leftrightarrow l$ is perpendicular to two intersecting lines within $\alpha$  
Among the above statements, the true statements are (Write down the numbers of all true statements).

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