
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 the following four propositions:  
\\(①\\) Given \\(m\\) and \\(n\\) represent two different lines, \\(α\\) and \\(β\\) represent two different planes, and \\(m⊥α\\), \\(n⊂β\\), then “\\(α⊥β\\)” is a necessary but not sufficient condition for “\\(m∥n\\)”;  
\\(②\\) For \\(\forall x∈(0,+∞)\\), \\(\log_{2}x < \log_{3}x\\) holds true;  
\\(③\\) The converse of “If \\(am^{2} < bm^{2}\\), then \\(a < b\\)” is true;  
\\(④\\) By shifting the graph of the function \\(y=3\sin(2x+ \frac{π}{3})\\) to the right by \\(\frac{π}{6}\\) units, we can obtain the graph of \\(y=3\sin 2x\\).  
Among these, the correct propositions are \_\_\_\_\_\_.

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