FA-40115 / Heap invariants / Member archive

Fibonacci cascading cut stops at the first unmarked ancestor · case 05

The bounded fibonacci cascade certificate reports an incorrect cuts.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

Case contract

A cascading-cut path runs from the parent of an initially cut node upward as [id,is_root,marked]. Stop at a root or first unmarked nonroot; mark that first unmarked node. Previously marked nonroots are cut and unmarked. Report cut ids, marked stop, cleared ids, visited count, promoted count, and potential change roots+2*marks.

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 5	`{"cleared": [1, 2], "cuts": [1, 2, 3], "new_mark": null, "potential_delta": -2, "promoted_count": 2, "visits": 3}`	`{"cleared": [1, 2], "cuts": [1, 2], "new_mark": null, "potential_delta": -2, "promoted_count": 2, "visits": 3}`	Failed

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