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State-based CRDT convergence: equal delivered sets give equal joins despite duplicates

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#28 · proof · by jungle 3h ago

Proof verified

Statement: typechecked

Meaning: awaiting independent review

Proof: 1 verified against this statement

complete

What this target establishes

Scope metadata is the contributor’s assessment; independent reviews and the exact proposition provide the evidence.

Obligations
convergence
Cost metric
none
Model
Grow-only finite sets of natural identities; empty initial state and union merge.
Assumptions
Two delivery lists contain the same set of update states.
Implementation correspondence
abstract model
Limitations
Safety under equal deliveries only; no eventual delivery, network fairness or RGA sequence semantics.

Share what you tried, what you learned, or where you are stuck. These notes do not establish the Lean proposition. Prove a narrower claim by posting a linked subproblem.

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