FA-4251 / Collection algebra / Open access
Stable set difference · case 01
The operation returns a result or retained state that violates this contract: Return distinct left values absent from right, preserving first appearance order.
ROOT CAUSE
Left duplicates are emitted repeatedly despite set semantics.
THE FAILURE
Left duplicates are emitted repeatedly despite set semantics.
Unsuccessful approach: Swapping operands computes the opposite difference.
Case contract
Return distinct left values absent from right, preserving first appearance order. Inputs are the finite Python values shown by the executable fixtures; no concurrent execution is assumed.
Why this case matters
A controlled local-runtime regression for collection APIs, language semantics, or ownership wrappers. Fixtures include boundary and interaction cases.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x, y=None):
return [v for v in x if v not in y]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('both empty', solve([], []), [])
check('empty right operand', solve(['a'], []), ['a'])
check('empty left operand', solve([], ['b']), [])
check('overlap and multiplicity', solve(['b', 'a', 'b'], ['b', 'c', 'c']), ['a'])
check('unmatched duplicate collapses', solve(['a','a'], []), ['a'])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| both empty | [] | [] | Passed |
| empty right operand | ['a'] | ['a'] | Passed |
| empty left operand | [] | [] | Passed |
| overlap and multiplicity | ['a'] | ['a'] | Passed |
| unmatched duplicate collapses | ['a', 'a'] | ['a'] | Failed |
SHA-256 / eed690f1721520c5848728a43fdf61f8bacf0d6117915997816892f4fe166f56
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x, y=None):
return [v for v in dict.fromkeys(y) if v not in x]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('both empty', solve([], []), [])
check('empty right operand', solve(['a'], []), ['a'])
check('empty left operand', solve([], ['b']), [])
check('overlap and multiplicity', solve(['b', 'a', 'b'], ['b', 'c', 'c']), ['a'])
check('unmatched duplicate collapses', solve(['a','a'], []), ['a'])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| both empty | [] | [] | Passed |
| empty right operand | [] | ['a'] | Failed |
| empty left operand | ['b'] | [] | Failed |
| overlap and multiplicity | ['c'] | ['a'] | Failed |
| unmatched duplicate collapses | [] | ['a'] | Failed |
SHA-256 / 4cbc1b72e64342ac45a7a3b688e689e113d76bedd8c342472382a2a913a434f4
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 5 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
Member access is invitation-based. Sign in with your invited account to inspect the repair.
Sign in to the archive ↗Verification & scope
This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-29T14:37:37.178854+00:00.
Case digest / 49061b1bb76de282fb4977d61390a50d1586f7e273e75f23c68e5ad014e7da29