
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 propositions:

\\(①\\) If "_\\(p\\)_\\(∨\\) _\\(q\\)_" is a false proposition, then _\\(p\\)_ and _\\(q\\)_ are both false propositions.  
\\(②\\) "_\\(x\\)_\\(=1\\)_" is a sufficient but not necessary condition for "_\\(x\\)_\\(\\geqslant 1\\)_".  
\\(③\\) If proposition _\\(p\\)_: \\(∃ x\_{0}∈R\\), \\(x\_{0}^{2}\\geqslant 0\\), then the negation of proposition _\\(p\\)_ is: \\(∀\\) _\\(x\\)_\\(∈R\\), \\(x^{2} < 0\\).  
\\(④\\) The necessary but not sufficient condition for "_\\(\\sin x\\)_\\(= \\dfrac{1}{2} \\)_" is "_\\(x\\)_\\(= \\dfrac{π}{6} \\)_".

The correct statement numbers are \_\_\_\_\_\_.

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