FA-39965 / Heap invariants / Member archive

Radix monotonicity rejects a key equal to the last extraction · case 05

The bounded radix buckets certificate reports an incorrect monotone.

Member previewVariant 5 · 3 implementations · 7 checks per implementation

Case contract

A monotone integer radix-heap certificate has nonnegative last, entries [key,id,bucket], and width. Bucket index is bit_length(key XOR last). Report monotonicity violations, bucket assignment violations, zero-bucket members, next nonempty bucket, next extraction threshold, and overflow keys. This is an unsigned bounded toy representation.

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 2	`{"monotone": ["a"], "new_last": 3, "next_bucket": null, "overflow": [], "placement": [], "zero_members": ["a"]}`	`{"monotone": [], "new_last": 3, "next_bucket": null, "overflow": [], "placement": [], "zero_members": ["a"]}`	Failed

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

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