
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
Determine the correct serial number(s) for the following statement:
\\(①\\) The negation of the proposition "If $a > b$, then $2^{a} > 2^{b}$" is a true proposition;
\\(②\\) The contrapositive of the proposition "If $a$ and $b$ are both even numbers, then $a+b$ is an even number" is a true proposition;
\\(③\\) If $p$ is a sufficient but not necessary condition for $q$, then $\lnot p$ is a necessary but not sufficient condition for $\lnot q$;
\\(④\\) The necessary and sufficient condition for the equation $ax^{2}+x+a=0$ to have a unique solution is $a=\pm \frac{1}{2}$.

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