
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
Let $A=\{x\in Z|0\leqslant x\leqslant 2\}$, $B=\{x\in Z|1\leqslant x\leqslant 3\}$, and the universal set $U=\{0,1,2,3\}$. Define $A-B=\{x|x\in A$ and $x\notin B\}$ as the "difference set" of sets $A$ and $B$. Find:<br/>$(1)\complement _{U}A$;<br/>$(2)\complement _{U}B\cap A$;<br/>$(3)\left(A-B\right)\cup \left(B-A\right)$.

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