
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
A function is defined as $f(x)=\sin (ωx+φ)$ where $ω > 0$ and $|φ| < \dfrac {π}{2}$. It is known that the function is monotonically decreasing in the interval $[\dfrac {5π}{12}, \dfrac {11π}{12}]$.

1. Find the analytic expression for $f(x)$.
2. Let $g(x)$ be the function obtained by first shifting the graph of $y=f(x)$ to the right by $\dfrac {π}{6}$ units, and then halving the abscissa of each point on the graph (without changing the ordinate). If the inequality $|g(x)-m| < 1$ holds true for any $x∈[\dfrac {π}{8}, \dfrac {3π}{8}]$, find the range of values for the real number $m$.

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