
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
There are the following four propositions:  
\\(①\\) The contrapositive of the proposition "If corresponding angles are equal, then two lines are parallel" is "If two lines are not parallel, then corresponding angles are not equal";  
\\(②\\) "\\(\sin \alpha= \frac {1}{2}\\)" is a necessary but not sufficient condition for "\\(\alpha=30^{\circ}\\)";  
\\(③\\) If \\(p \land q\\) is a false proposition, then both \\(p\\) and \\(q\\) are false propositions;  
\\(④\\) For the proposition \\(p\\): There exists \\(x_{0} \in \mathbb{R}\\) such that \\(x_{0}^{2}+2x_{0}+2 \leqslant 0\\), the negation \\(\neg p\\) is: For all \\(x \in \mathbb{R}\\), \\(x^{2}+2x+2 > 0\\).  
Among these, the correct ones are \_\_\_\_\_\_.

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