
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 conclusions:  
① The proposition "For all $x \in \mathbb{R}, \sin(x) \leq 1$" is negated by "¬p: There exists $x \in \mathbb{R}$ such that $\sin(x) > 1$";  
② The proposition "All squares are parallelograms" is negated by "All squares are not parallelograms";  
③ The proposition "Events $A_1$ and $A_2$ are mutually exclusive" is a necessary but not sufficient condition for the proposition "Events $A_1$ and $A_2$ are complementary";  
④ If $a$ and $b$ are real numbers, then "a > 0 and b > 0" is a sufficient but not necessary condition for "a + b > 0 and $ab > 0$".  
Among these conclusions, the correct ones are.

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