
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 the following propositions:
① The proposition "Events A and B are mutually exclusive" is a necessary but not sufficient condition for "Events A and B are complementary."
② The inverse proposition of "All congruent triangles are similar triangles" is true.
③ The negation of the proposition "The diagonals of a rectangle are equal" is false.
④ In triangle ABC, "∠B=60°" is the necessary and sufficient condition for the angles ∠A, ∠B, ∠C to form an arithmetic sequence.
Among these propositions, identify the correct ones. (List all the correct proposition numbers)

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