FA-98201 / Attention mask construction / Open access
Causal position does not reset at segment boundaries · case 01
Causal position does not reset at segment boundaries.
ROOT CAUSE
Absolute flattened index controls causality across separately indexed segments.
THE FAILURE
Absolute flattened index controls causality across separately indexed segments.
Unsuccessful approach: Resetting at segment start but ignoring segment labels permits another segment with the same local position.
Case contract
Each entry is [segment_id, local_position]; visible iff IDs match and key local position<=query local position.
Why this case matters
A small explicit visibility matrix makes sequence-attention boundary behavior reviewable.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(segments):
return [[j<=i for j in range(len(segments))] for i in range(len(segments))]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
s=[[0,i] for i in range(N)]+[[1,0],[1,1]]
check('reset and isolate',solve(s),[[s[j][0]==s[i][0] and s[j][1]<=s[i][1] for j in range(len(s))] for i in range(len(s))])
check('one segment',solve([[4,0],[4,1]]),[[True,False],[True,True]])
check('same local index different segment',solve([[1,0],[2,0]]),[[True,False],[False,True]])
check('empty',solve([]),[])
check('singleton',solve([[3,7]]),[[True]])
check('local order differs global',solve([[5,1],[5,4]]),[[True,False],[True,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 |
|---|---|---|---|
| reset and isolate | [[True, False, False], [True, True, False], [True, True, True]] | [[True, False, False], [False, True, False], [False, True, True]] | Failed |
| one segment | [[True, False], [True, True]] | [[True, False], [True, True]] | Passed |
| same local index different segment | [[True, False], [True, True]] | [[True, False], [False, True]] | Failed |
| empty | [] | [] | Passed |
| singleton | [[True]] | [[True]] | Passed |
| local order differs global | [[True, False], [True, True]] | [[True, False], [True, True]] | Passed |
SHA-256 / 5ed60c5c6d000ea06ff015eb261dd1d3555fab36aa297c3487df74842429a9d5
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(segments):
return [[segments[j][1]<=segments[i][1] for j in range(len(segments))] for i in range(len(segments))]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
s=[[0,i] for i in range(N)]+[[1,0],[1,1]]
check('reset and isolate',solve(s),[[s[j][0]==s[i][0] and s[j][1]<=s[i][1] for j in range(len(s))] for i in range(len(s))])
check('one segment',solve([[4,0],[4,1]]),[[True,False],[True,True]])
check('same local index different segment',solve([[1,0],[2,0]]),[[True,False],[False,True]])
check('empty',solve([]),[])
check('singleton',solve([[3,7]]),[[True]])
check('local order differs global',solve([[5,1],[5,4]]),[[True,False],[True,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 |
|---|---|---|---|
| reset and isolate | [[True, True, False], [True, True, False], [True, True, True]] | [[True, False, False], [False, True, False], [False, True, True]] | Failed |
| one segment | [[True, False], [True, True]] | [[True, False], [True, True]] | Passed |
| same local index different segment | [[True, True], [True, True]] | [[True, False], [False, True]] | Failed |
| empty | [] | [] | Passed |
| singleton | [[True]] | [[True]] | Passed |
| local order differs global | [[True, False], [True, True]] | [[True, False], [True, True]] | Passed |
SHA-256 / b122c3a9ee3cc8f748fded585694e0a6ed172bff1ae0b003fe3f5e282467e347
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 6 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.
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Sign in to the archive ↗Verification & scope
These are toy Boolean matrix contracts; they do not define a production model architecture or tensor library behavior. 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 2026-09-30T16:48:10.629822+00:00.
Case digest / 3199df36c851be76c94a10fc2afe6fb9a7e0cc0883a8fb3d149cb826a0c47048