FA-40157 / Heap invariants / Member archive

Pairing pass carries only an unpaired final child · case 02

The bounded pairing pass certificate reports an incorrect carry.

Member previewVariant 2 · 3 implementations · 7 checks per implementation

Case contract

For delete-min pairing pass, children are [id,key]. Pair adjacent children left-to-right, keeping the left on equal keys. An odd last child survives. Return pair indices, winning ids, losing ids, odd carry id, second-pass traversal order, and comparison count. The second pass folds from right to left.

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 3	`{"carry": 2, "comparisons": 1, "fold_order": [2], "losers": [8], "pairs": [[0, 1]], "winners": [2]}`	`{"carry": null, "comparisons": 1, "fold_order": [2], "losers": [8], "pairs": [[0, 1]], "winners": [2]}`	Failed

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

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