
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
Among the following statements, the correct propositions are \_\_\_\_\_\_ ; (Fill in the numbers of all correct propositions)  
① If line $l$ is parallel to plane $\alpha$, and line $l$ is parallel to plane $\beta$, then $\alpha$ is parallel to $\beta$,  
② If line $l$ is perpendicular to plane $\alpha$, and line $l$ is perpendicular to plane $\beta$, then $\alpha$ is parallel to $\beta$,  
③ If two lines $l_1$ and $l_2$ form equal angles with plane $\alpha$, then $l_1$ is parallel to $l_2$,  
④ If two different points $A$ and $B$ on line $l$ are at equal distances from plane $\alpha$, then $l$ is parallel to $\alpha$.

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