
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
Calculate the work done by the force $\vec{F}=(x-y, 1)$ along the semicircle $x^{2}+y^{2}=4(y \geqslant 0)$ when moving a material point from $A(2,0)$ to $B(-2,0)$.

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