
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 $a > 0$, let proposition $p$: the function $y=a^{x}$ is monotonically increasing on $\mathbb{R}$; proposition $q$: the inequality $ax^{2}-ax+1 > 0$ holds for $\forall x \in \mathbb{R}$. If $p$ and $q$ are false, and $p$ or $q$ is true, find the range of values for $a$.

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