FA-4301 / Collection algebra / Open access

Suffix empty identity · case 01

The operation returns a result or retained state that violates this contract: Return whether right is a positional suffix of left, with empty right always matching.

Verified by executionVariant 1 · 5 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Negative-zero slicing selects the full sequence instead of the empty suffix.

VERIFIED REPAIR

Return whether right is a positional suffix of left, with empty right always matching.

Unsuccessful approach: Prefix comparison checks the opposite boundary.

Case contract

Return whether right is a positional suffix of left, with empty right always matching. 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 x[-len(y):]==y
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('both empty', solve([], []), True)
check('empty right operand', solve(['a'], []), True)
check('empty left operand', solve([], ['b']), False)
check('overlap and multiplicity', solve(['b', 'a', 'b'], ['b', 'c', 'c']), False)
check('nonprefix suffix matches', solve(['b','a'], ['a']), True)
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	`True`	`True`	Passed
empty right operand	`False`	`True`	Failed
empty left operand	`False`	`False`	Passed
overlap and multiplicity	`False`	`False`	Passed
nonprefix suffix matches	`True`	`True`	Passed

SHA-256 / 5d497f987680f5c06970d7872cd70326266e8d3b43ae2b202c6621657552a7ef

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 x[:len(y)]==y
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('both empty', solve([], []), True)
check('empty right operand', solve(['a'], []), True)
check('empty left operand', solve([], ['b']), False)
check('overlap and multiplicity', solve(['b', 'a', 'b'], ['b', 'c', 'c']), False)
check('nonprefix suffix matches', solve(['b','a'], ['a']), True)
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	`True`	`True`	Passed
empty right operand	`True`	`True`	Passed
empty left operand	`False`	`False`	Passed
overlap and multiplicity	`False`	`False`	Passed
nonprefix suffix matches	`False`	`True`	Failed

SHA-256 / 2416145d3bd186775e7405b80d397607709b8209988dc24d6c9155e0c356322b

3 / The verified repair

Exit 0

"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x, y=None):
    return not y or x[-len(y):]==y
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('both empty', solve([], []), True)
check('empty right operand', solve(['a'], []), True)
check('empty left operand', solve([], ['b']), False)
check('overlap and multiplicity', solve(['b', 'a', 'b'], ['b', 'c', 'c']), False)
check('nonprefix suffix matches', solve(['b','a'], ['a']), True)
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	`True`	`True`	Passed
empty right operand	`True`	`True`	Passed
empty left operand	`False`	`False`	Passed
overlap and multiplicity	`False`	`False`	Passed
nonprefix suffix matches	`True`	`True`	Passed

SHA-256 / afbc706a7d61579e2b4fc75f24023552fdfc93521953e067c8bde019c058932c

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 2026-09-29T14:37:37.702484+00:00.

Case digest / ba877c85dcd4da635eed3ec4e7a46cb8d386a48c832503a458ffc3fc8719c056