
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 four propositions:  
\\(①\\) The inverse proposition of "If \\(xy = 1\\), then \\(x\\) and \\(y\\) are reciprocals of each other";  
\\(②\\) The negation of the proposition "If two triangles have equal areas, then they are congruent";  
\\(③\\) The proposition "If \\(x + y \neq 3\\), then \\(x \neq 1\\) or \\(y \neq 2\\)";  
\\(④\\) The negation of the proposition "There exists \\(x \in \mathbb{R}\\), such that \\(4x^2 - 4x + 1 \leqslant 0\\)".  
Among these, the true propositions are _____________ (Fill in the correct proposition numbers).

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