FA-40503 / Heap invariants / Member archive

Loser tree exhausted sentinels cannot win on their stale key · case 03

The bounded loser match certificate reports an incorrect winner.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

A loser-tree match compares challenger [run,key,active] and defender likewise. Exhausted entries lose to active entries, ties prefer lower run id, both exhausted produce no winner. Return winner run, stored loser run, active match cost, exhausted runs, winning key, and replay continuation run.

Why this case matters

This isolates an internal heap representation or priority-structure invariant using deterministic finite records.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression certificate 1	`{"comparisons": 0, "continuation": 2, "exhausted": [1], "key": 5, "stored_loser": 1, "winner": 1}`	`{"comparisons": 0, "continuation": 2, "exhausted": [1], "key": 5, "stored_loser": 1, "winner": 2}`	Failed

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This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

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