
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 that $c > 0$, let $p$ be the proposition that the function $y=c^{x}$ is decreasing on $\mathbb{R}$, and let $q$ be the proposition that the minimum value of the function $f(x)=x^{2}-c^{2}$ is no greater than $- \frac{1}{16}$. If both $p$ and $q$ are true, find the range of values for the real number $c$.

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