
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
Given the function $f(x)=2 \sqrt {3}\cos ^{2}ωx+\sin 2ωx- \sqrt {3}$ (where $ω > 0$), and the smallest positive period of $f(x)$ is $2π$.
(I) Find the value of $ω$;
(II) By compressing the abscissa of each point on the graph of the function $y=f(x)$ to $\frac {1}{2}$ of the original, and keeping the ordinate unchanged, obtain the graph of the function $y=g(x)$, and find the monotonically increasing interval of the function $g(x)$.

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