FA-39950 / Heap invariants / Member archive

Pairing meld leaves a sibling link on the new root · case 05

The bounded pairing siblings certificate reports an incorrect root links.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

Case contract

Pairing-tree certificate nodes are [key,parent,first_child,next_sibling,previous]. Missing links are -1. Previous denotes parent for first child, prior sibling otherwise. Report first-child backlinks, sibling-parent disagreements, previous-link disagreements, root sibling violations, direct heap-order violations, and child-chain degrees (stop on cycles).

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	`{"child_order": [], "degrees": [0, 1, 0], "first_previous": [1], "root_links": [4], "sibling_parent": [], "sibling_previous": [1]}`	`{"child_order": [], "degrees": [0, 1, 0], "first_previous": [1], "root_links": [3, 4], "sibling_parent": [], "sibling_previous": [1]}`	Failed

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