FA-41235 / Heap invariants / Member archive
Pointer heap traversal records every repeated reference rather than expanding or hiding aliases · case 05
The bounded complete tree certificate certificate reports an incorrect repeated.
Case contract
A bounded binary pointer-tree certificate gives node records [id,left_id,right_id], root id or None; references name existing nodes or None. Breadth-first traversal stops expanding previously seen ids. Assign conceptual heap indices root=0,left=2i+1,right=2i+2. Report visit ids, unreachable ids, shared/cyclic references encountered, completeness (unique indices 0..n-1 and all nodes reached without repeats), right-only parents, and parent multiplicities.
Why this case matters
This isolates an internal heap representation or priority-structure invariant using deterministic finite records.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression certificate 5 | {"complete": false, "incoming": {"a": 2, "b": 2}, "repeated": [], "right_only": [], "unreachable": [], "visits": ["a", "b"]} | {"complete": false, "incoming": {"a": 2, "b": 2}, "repeated": ["b", "a", "a"], "right_only": [], "unreachable": [], "visits": ["a", "b"]} | Failed |
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