
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 \\(\alpha\\) and \\(\beta\\) are two non-coincident planes, and \\(l\\) and \\(m\\) are two different lines, where \\(l \perp \alpha\\) and \\(m \subset \beta\\). Consider the following four propositions:

\\(① \alpha \parallel \beta \Rightarrow l \perp m;\\) 　\\(② \alpha \perp \beta \Rightarrow l \parallel m;\\)　\\(③ m \parallel \alpha \Rightarrow l \perp \beta;\\)　 \\(④ l \perp \beta \Rightarrow m \parallel \alpha\\).

Among these propositions, the correct ones are \_\_\_\_ (Fill in the serial numbers).

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