
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 $y=2\sin (ωx+φ)(ω > 0,|φ| < \dfrac {π}{2})$.
(1) If $f(0)=1$, then $φ=$ _______;
(2) If there exists $x∈R$ such that $f(x+2)-f(x)=4$, then the minimum value of $ω$ is _______.

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