FA-41313 / Heap invariants / Member archive

Skew heap heavy-edge threshold includes the current root and is strict · case 03

The bounded skew heavy certificate certificate reports an incorrect heavy.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

A skew-heap amortized certificate supplies nodes [id,left_size,right_size] with nonnegative subtree sizes. A right edge is heavy when right_size exceeds half the complete subtree size (1+left+right). Report heavy ids, light right ids, complete sizes, heavy potential, right-path charged light visits, and potential change between before and after certificates. Path ids refer to before nodes; this is a stipulated accounting model.

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	`{"heavy": ["a", "b"], "light_right": ["a"], "light_visits": 1, "potential": 1, "potential_delta": -1, "subtree_sizes": [2, 3]}`	`{"heavy": ["b"], "light_right": ["a"], "light_visits": 1, "potential": 1, "potential_delta": -1, "subtree_sizes": [2, 3]}`	Failed

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