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Diff measurement: the LCS recurrence returns an attainable maximum common subsequence

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#29 · 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
optimality
Cost metric
custom
Model
Head-recursive LCS length on natural-symbol lists; attainable maximum common subsequence length.
Assumptions
Fuel is at least the sum of input lengths.
Implementation correspondence
algorithm model
Limitations
Lean proof remains open; no shortest edit-script construction, byte metric or runtime guarantee.

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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