
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
The function $f(x)=\sin (ωx+ \frac {π}{3})(ω > 0)$ has adjacent symmetry axes with a distance of $\frac {π}{2}$. Determine the analytical expression of the function $g(x)$ obtained by shifting the graph of $f(x)$ to the right by $\frac {π}{6}$ units and then reducing its abscissa by half.

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