
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
Among the following propositions: ① A quadrilateral with one pair of parallel sides and another pair of equal sides is a parallelogram; ② A quadrilateral whose diagonals bisect each other is a parallelogram; ③ In quadrilateral ABCD, if AB=AD and BC=DC, then this quadrilateral ABCD is a parallelogram; ④ A quadrilateral with one pair of equal sides and one pair of equal angles is a parallelogram. The correct proposition(s) is/are __________ (fill in the proposition number).

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