
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 proposition p: The real number $m$ satisfies $m^2 - 7am + 12a^2 < 0$ ($a > 0$), and proposition q: The real number $m$ satisfies the equation $$\frac {x^{2}}{m-1}+ \frac {y^{2}}{2-m}=1$$ represents an ellipse with foci on the y-axis, and not q is a sufficient but not necessary condition for not p, find the range of values for $a$.

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