
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
In the Cartesian coordinate system $xOy$, with the origin $O$ as the pole and the positive half-axis of $x$ as the polar axis, a polar coordinate system is established. If point $P$ is on the line $\rho\cos \theta-\rho\sin \theta-4=0$, and point $Q$ is on the curve $\begin{cases}x=t \\ y= \frac {1}{4}t^{2}\end{cases}$ (where $t$ is a parameter), then the minimum value of $|PQ|$ is \_\_\_\_\_\_.

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