
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
Define the operation $a \otimes b = a(1-b)$. The following are several conclusions about this operation:

1. $2 \otimes (-2) = 6$;
2. $a \otimes b = b \otimes a$;
3. If $a+b=0$, then $(a \otimes a) + (b \otimes b) = 2ab$;
4. If $a \otimes b = 0$, then $a=0$.

Among these conclusions, the correct ones are numbered as ____. (Fill in the blanks with the numbers of all correct conclusions.)

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