
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 AB is a diameter of the circle O: x<sup>2</sup>+y<sup>2</sup>=1, and point P is a moving point on the ellipse $$\frac {x^{2}}{4}+ \frac {y^{2}}{3}$$=1, find the minimum value of $$\overrightarrow {PA}$$• $$\overrightarrow {PB}$$.

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