
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 the set $A$ is the domain of the function $y=\lg (20+8x-x^{2})$, and the set $B$ is the solution set of the inequality $x^{2}-2x+1-a^{2}\geqslant 0$ ($a > 0$), let $p$: $x\in A$, $q$: $x\in B$,

(Ⅰ) If $A\cap B=\varnothing$, find the range of values for $a$;

(Ⅱ) If $\neg p$ is a sufficient but not necessary condition for $q$, find the range of values for $a$.

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