FA-31486 / Keyboard interactions / Open access
Overlapping keyboard sequence matcher: Sequence completion loses a multi-key overlapping prefix for the next match · case 01
The event trace violates the overlap retention rule and produces incorrect keyboard state or command output.
ROOT CAUSE
Sequence completion loses a multi-key overlapping prefix for the next match.
VERIFIED REPAIR
Use the contract transition `buffer=sequence[:size] break` at the overlap retention fault site; preserve the other state transitions.
Unsuccessful approach: The partial repair changes this transition to buffer=sequence[-1:] break, which still violates the model contract on the explicit regression traces.
Case contract
Case [sequence,timeout,events]. Nonempty sequence is list of key names. Events [kind,key,time,repeat]. Only nonrepeat down feeds matcher. Accepted downs more than timeout after the previous accepted down discard the prefix; tick likewise expires it. Cancel resets prefix and clock. Keep longest suffix matching a sequence prefix, and after a match retain the longest proper overlapping prefix. Return match timestamps, partial prefix and last accepted time. Inputs are finite ordered event traces; return the stated deterministic state. Batch entries are independent. N varies the number of independent input transactions.
Why this case matters
Controlled keyboard event processing model for debugging application event logic.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(cases):
def run(c):
sequence,timeout,events=c
buffer=[]; last=None; matches=[]
for kind,key,now,repeat in events:
if kind=='cancel': buffer=[]; last=None
elif kind=='tick':
if last is not None and now-last>timeout: buffer=[]; last=None
elif kind=='down' and not repeat:
if last is not None and now-last>timeout: buffer=[]
candidate=buffer+[key]
last=now
buffer=[]
for size in range(min(len(sequence),len(candidate)),0,-1):
if candidate[-size:]==sequence[:size]:
buffer=candidate[-size:]
break
if buffer==sequence:
matches.append(now)
buffer=[]
for size in range(len(sequence)-1,0,-1):
if sequence[-size:]==sequence[:size]:
buffer=[]
break
return [matches,buffer,last]
return [run(c) for c in cases]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('sequence-prefix scenario 0', solve([[['A', 'B'], 5, []]] * N), [[[], [], None]] * N)
check('sequence-prefix scenario 1', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 15, False]]]] * N), [[[15], [], 15]] * N)
check('sequence-prefix scenario 2', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['tick', '', 15, False]]]] * N), [[[], ['A'], 10]] * N)
check('sequence-prefix scenario 3', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 16, False]]]] * N), [[[], [], 16]] * N)
check('sequence-prefix scenario 4', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 11, True], ['up', 'B', 12, False]]]] * N), [[[], ['A'], 10]] * N)
check('sequence-prefix scenario 5', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['cancel', '', 11, False]]]] * N), [[[], [], None]] * N)
check('sequence-prefix scenario 6', solve([[['A', 'B', 'A'], 5, [['down', 'A', 10, False], ['down', 'B', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'A', 14, False]]]] * N), [[[12, 14], ['A'], 14]] * N)
check('sequence-prefix scenario 7', solve([[['A', 'B', 'A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'A', 14, False], ['down', 'B', 15, False]]]] * N), [[[13, 15], ['A', 'B'], 15]] * N)
check('sequence-prefix scenario 8', solve([[['A', 'A', 'B'], 5, [['down', 'A', 10, False], ['down', 'A', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False]]]] * N), [[[13], [], 13]] * N)
check('sequence-prefix scenario 9', solve([[['A', 'B', 'C'], 5, [['down', 'A', 10, False], ['down', 'X', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'C', 14, False]]]] * N), [[[14], [], 14]] * N)
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 |
|---|---|---|---|
| sequence-prefix scenario 0 | [[[], [], None]] | [[[], [], None]] | Passed |
| sequence-prefix scenario 1 | [[[15], [], 15]] | [[[15], [], 15]] | Passed |
| sequence-prefix scenario 2 | [[[], ['A'], 10]] | [[[], ['A'], 10]] | Passed |
| sequence-prefix scenario 3 | [[[], [], 16]] | [[[], [], 16]] | Passed |
| sequence-prefix scenario 4 | [[[], ['A'], 10]] | [[[], ['A'], 10]] | Passed |
| sequence-prefix scenario 5 | [[[], [], None]] | [[[], [], None]] | Passed |
| sequence-prefix scenario 6 | [[[12], ['A'], 14]] | [[[12, 14], ['A'], 14]] | Failed |
| sequence-prefix scenario 7 | [[[13], ['A', 'B'], 15]] | [[[13, 15], ['A', 'B'], 15]] | Failed |
| sequence-prefix scenario 8 | [[[13], [], 13]] | [[[13], [], 13]] | Passed |
| sequence-prefix scenario 9 | [[[14], [], 14]] | [[[14], [], 14]] | Passed |
SHA-256 / 7de1fc8b2025e6b19b285ace2022b6fb10a1359de8c7bbbf926136c1ba7b59bc
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(cases):
def run(c):
sequence,timeout,events=c
buffer=[]; last=None; matches=[]
for kind,key,now,repeat in events:
if kind=='cancel': buffer=[]; last=None
elif kind=='tick':
if last is not None and now-last>timeout: buffer=[]; last=None
elif kind=='down' and not repeat:
if last is not None and now-last>timeout: buffer=[]
candidate=buffer+[key]
last=now
buffer=[]
for size in range(min(len(sequence),len(candidate)),0,-1):
if candidate[-size:]==sequence[:size]:
buffer=candidate[-size:]
break
if buffer==sequence:
matches.append(now)
buffer=[]
for size in range(len(sequence)-1,0,-1):
if sequence[-size:]==sequence[:size]:
buffer=sequence[-1:]
break
return [matches,buffer,last]
return [run(c) for c in cases]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('sequence-prefix scenario 0', solve([[['A', 'B'], 5, []]] * N), [[[], [], None]] * N)
check('sequence-prefix scenario 1', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 15, False]]]] * N), [[[15], [], 15]] * N)
check('sequence-prefix scenario 2', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['tick', '', 15, False]]]] * N), [[[], ['A'], 10]] * N)
check('sequence-prefix scenario 3', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 16, False]]]] * N), [[[], [], 16]] * N)
check('sequence-prefix scenario 4', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 11, True], ['up', 'B', 12, False]]]] * N), [[[], ['A'], 10]] * N)
check('sequence-prefix scenario 5', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['cancel', '', 11, False]]]] * N), [[[], [], None]] * N)
check('sequence-prefix scenario 6', solve([[['A', 'B', 'A'], 5, [['down', 'A', 10, False], ['down', 'B', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'A', 14, False]]]] * N), [[[12, 14], ['A'], 14]] * N)
check('sequence-prefix scenario 7', solve([[['A', 'B', 'A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'A', 14, False], ['down', 'B', 15, False]]]] * N), [[[13, 15], ['A', 'B'], 15]] * N)
check('sequence-prefix scenario 8', solve([[['A', 'A', 'B'], 5, [['down', 'A', 10, False], ['down', 'A', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False]]]] * N), [[[13], [], 13]] * N)
check('sequence-prefix scenario 9', solve([[['A', 'B', 'C'], 5, [['down', 'A', 10, False], ['down', 'X', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'C', 14, False]]]] * N), [[[14], [], 14]] * N)
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 |
|---|---|---|---|
| sequence-prefix scenario 0 | [[[], [], None]] | [[[], [], None]] | Passed |
| sequence-prefix scenario 1 | [[[15], [], 15]] | [[[15], [], 15]] | Passed |
| sequence-prefix scenario 2 | [[[], ['A'], 10]] | [[[], ['A'], 10]] | Passed |
| sequence-prefix scenario 3 | [[[], [], 16]] | [[[], [], 16]] | Passed |
| sequence-prefix scenario 4 | [[[], ['A'], 10]] | [[[], ['A'], 10]] | Passed |
| sequence-prefix scenario 5 | [[[], [], None]] | [[[], [], None]] | Passed |
| sequence-prefix scenario 6 | [[[12, 14], ['A'], 14]] | [[[12, 14], ['A'], 14]] | Passed |
| sequence-prefix scenario 7 | [[[13], ['A', 'B'], 15]] | [[[13, 15], ['A', 'B'], 15]] | Failed |
| sequence-prefix scenario 8 | [[[13], [], 13]] | [[[13], [], 13]] | Passed |
| sequence-prefix scenario 9 | [[[14], [], 14]] | [[[14], [], 14]] | Passed |
SHA-256 / 0cddb93a221e9e5cf3c0002cfeed9ac3211aecc7948c6ba95cab76d4eb59a88d
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(cases):
def run(c):
sequence,timeout,events=c
buffer=[]; last=None; matches=[]
for kind,key,now,repeat in events:
if kind=='cancel': buffer=[]; last=None
elif kind=='tick':
if last is not None and now-last>timeout: buffer=[]; last=None
elif kind=='down' and not repeat:
if last is not None and now-last>timeout: buffer=[]
candidate=buffer+[key]
last=now
buffer=[]
for size in range(min(len(sequence),len(candidate)),0,-1):
if candidate[-size:]==sequence[:size]:
buffer=candidate[-size:]
break
if buffer==sequence:
matches.append(now)
buffer=[]
for size in range(len(sequence)-1,0,-1):
if sequence[-size:]==sequence[:size]:
buffer=sequence[:size]
break
return [matches,buffer,last]
return [run(c) for c in cases]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('sequence-prefix scenario 0', solve([[['A', 'B'], 5, []]] * N), [[[], [], None]] * N)
check('sequence-prefix scenario 1', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 15, False]]]] * N), [[[15], [], 15]] * N)
check('sequence-prefix scenario 2', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['tick', '', 15, False]]]] * N), [[[], ['A'], 10]] * N)
check('sequence-prefix scenario 3', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 16, False]]]] * N), [[[], [], 16]] * N)
check('sequence-prefix scenario 4', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 11, True], ['up', 'B', 12, False]]]] * N), [[[], ['A'], 10]] * N)
check('sequence-prefix scenario 5', solve([[['A', 'B'], 5, [['down', 'A', 10, False], ['cancel', '', 11, False]]]] * N), [[[], [], None]] * N)
check('sequence-prefix scenario 6', solve([[['A', 'B', 'A'], 5, [['down', 'A', 10, False], ['down', 'B', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'A', 14, False]]]] * N), [[[12, 14], ['A'], 14]] * N)
check('sequence-prefix scenario 7', solve([[['A', 'B', 'A', 'B'], 5, [['down', 'A', 10, False], ['down', 'B', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'A', 14, False], ['down', 'B', 15, False]]]] * N), [[[13, 15], ['A', 'B'], 15]] * N)
check('sequence-prefix scenario 8', solve([[['A', 'A', 'B'], 5, [['down', 'A', 10, False], ['down', 'A', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False]]]] * N), [[[13], [], 13]] * N)
check('sequence-prefix scenario 9', solve([[['A', 'B', 'C'], 5, [['down', 'A', 10, False], ['down', 'X', 11, False], ['down', 'A', 12, False], ['down', 'B', 13, False], ['down', 'C', 14, False]]]] * N), [[[14], [], 14]] * N)
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 |
|---|---|---|---|
| sequence-prefix scenario 0 | [[[], [], None]] | [[[], [], None]] | Passed |
| sequence-prefix scenario 1 | [[[15], [], 15]] | [[[15], [], 15]] | Passed |
| sequence-prefix scenario 2 | [[[], ['A'], 10]] | [[[], ['A'], 10]] | Passed |
| sequence-prefix scenario 3 | [[[], [], 16]] | [[[], [], 16]] | Passed |
| sequence-prefix scenario 4 | [[[], ['A'], 10]] | [[[], ['A'], 10]] | Passed |
| sequence-prefix scenario 5 | [[[], [], None]] | [[[], [], None]] | Passed |
| sequence-prefix scenario 6 | [[[12, 14], ['A'], 14]] | [[[12, 14], ['A'], 14]] | Passed |
| sequence-prefix scenario 7 | [[[13, 15], ['A', 'B'], 15]] | [[[13, 15], ['A', 'B'], 15]] | Passed |
| sequence-prefix scenario 8 | [[[13], [], 13]] | [[[13], [], 13]] | Passed |
| sequence-prefix scenario 9 | [[[14], [], 14]] | [[[14], [], 14]] | Passed |
SHA-256 / 07ca1aca25789f6c51484071e2ada1e97c6d1b587e4d1f28d02b6a39885e9687
Verification & scope
Offline stipulated event model, not a browser implementation or web standard conformance claim. 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 2026-09-29T14:42:02.567274+00:00.
Case digest / 8db78dfc4f5d711cedc749ca6051a0dbd0c9193dd4938b5725542f136fc21611