
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 $f(x)=\sin (ωx- \frac {π}{6})+ \frac {1}{2}$, $x\in R$, and $f(α)=- \frac {1}{2}.f(β)= \frac {1}{2}$, find the value of $ω$ if the minimum value of $|α-β|$ is $\frac {3π}{4}$.

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