Multilingual reasoning comparisons depend on translated premises preserving the relations in their English sources. Automatic translation scores can rank source-target pairs, but an acceptance decision alone cannot certify a counterfactual benchmark field. We test a source-contrast diagnostic for ACCORD premises: reverse the English polarity, translate both arms independently, count identical target outputs, and score each arm against its own source. Across 71 matched question identities at two containing-item depths, five target languages, and three translation checkpoints, Swahili has 63, 113, and 67 exact collisions among 710 pairs per checkpoint. At a human-reference-calibrated threshold, round-trip NLI passes both arms of 3 of the 113 NLLB-3.3B collisions, while LaBSE passes 78. Each collision proves at least one unfaithful translation, but does not identify its arm. These controlled measurements do not establish screening accuracy on spontaneous translation errors or a language-by-hop reasoning effect; the study has no native equivalence labels or answer-model evaluation.
Figures & tables
Figure 1: Opposed ACCORD premises can collapse to the same target text. The first panel locates a premise in a source item. The second shows field translation across the target languages. The third tests the polarity reversal and counts identical Swahili outputs. The fourth gives round-trip NLI and LaBSE decisions against each arm’s generating source at their calibrated thresholds. A dual acceptance certifies at least one accepted unfaithful field without identifying its arm.
Translator
Language
1-hop
2-hop
RT
Direct
LaBSE
QE
NLLB-1.3B
Spanish
1
0
0
0
0
0
NLLB-1.3B
Hindi
1
0
0
0
0
0
NLLB-1.3B
Swahili
52
11
4
0
43
11
NLLB-1.3B
Hausa
7
0
3
7
3
5
NLLB-1.3B
Yoruba
2
0
2
2
1
2
NLLB-3.3B
Spanish
2
3
1
0
0
1
Table 1: Exact target collisions and dual source-conditioned screen acceptance. Each depth and language has 355 opposed premise pairs from 71 questions. Collision counts are target-string identities. The four right columns count pairs for which both contradictory sources and their identical target pass the screen. RT thresholds are recalibrated for each reverse translator; other screens use the same FLORES human-reference threshold. All columns report counts, not translation-error rates.
Figure 2: Exact Swahili target collisions. Each point is the number of identical translations of opposed premises among 355 pairs at the indicated containing-item depth. Whiskers are percentile 95% intervals from 2,000 source-question bootstrap draws, retaining all five premises. The two NLLB checkpoints share a model family; MADLAD-400 is a separate translator family.
Figure 3: Swahili dual acceptance among exact collisions. Both translated arms must pass against their own English sources. Points are observed fractions; whiskers are percentile 95% intervals from 2,000 source-question bootstrap draws at frozen thresholds. Calibration uncertainty is analyzed separately. A dual-accepted collision proves that at least one accepted pair is unfaithful, without identifying which arm. The chart does not estimate screen precision or recall on naturally occurring errors.
Figure 4: Swahili source-format comparison with unchanged-input controls. Points give exact collision rates in two runs of the same NLLB-3.3B checkpoint. Only the first group has modified English sources; batch size also changed between runs. The unchanged two-hop group shows output variability under that execution change.
Screen
ES
HI
SW
HA
YO
Round trip
1.00
0.98
0.98
0.97
0.93
Direct NLI
1.00
0.99
0.99
0.93
0.60
LaBSE
0.99
0.94
0.98
0.94
0.88
COMET-QE
0.83
0.75
0.67
0.52
0.53
Table 2: AUC for an English entailment hypothesis paired with its human translation versus a human translation of a contradiction-labeled hypothesis from the same premise. The 200 source groups are aligned across the five target languages. Higher is better.
Figure 5: Ranking on secondary controls. Left: human-translated entailment versus independently authored contradiction hypotheses. Right: original versus least-similar sibling-target ACCORD choices. Points are AUC; whiskers resample source groups or ACCORD items. The grey line is chance ranking. Neither control labels natural translation errors.
FLORES threshold
In-domain folds
Language
Screen
Positive
Altered
Positive
Altered
Spanish
Round trip
188
1
178
0
Spanish
Direct NLI
190
0
177
0
Spanish
LaBSE
180
2
179
1
Spanish
COMET-QE
176
111
179
115
Hindi
Round trip
181
5
180
3
Table 3: Aligned XNLI/AfriXNLI decisions under the FLORES development threshold and five-fold in-domain calibration. Each positive and altered-target column has 200 human-translated pairs. Each fold’s in-domain threshold uses only the other four folds’ positive targets. Counts are accepted pairs, not ACCORD validity labels.
Reverse translator
Spanish
Hindi
Swahili
Hausa
Yoruba
NLLB-1.3B
0.162803
0.031874
0.025652
0.006631
0.001748
NLLB-3.3B
0.135743
0.023931
0.028563
0.007938
0.001714
MADLAD-3B
0.446000
0.023056
0.007618
0.004268
0.000551
Table 4: Round-trip NLI thresholds fitted separately to each reverse translator. Each threshold is the highest observed score retaining at least 90 of 100 aligned FLORES development human translations. Values are measured point estimates; target-language field retention is not known.
Round trip
Direct NLI
LaBSE
COMET-QE
Language
M
N
M
N
M
N
M
N
Spanish
0.98
0.93
1.00
0.94
1.00
0.68
0.96
0.65
Hindi
0.99
0.96
1.00
0.89
1.00
0.65
0.94
0.55
Swahili
0.99
0.90
1.00
0.87
1.00
0.65
0.84
0.54
Hausa
0.97
0.89
0.98
0.78
1.00
0.60
0.75
0.54
Yoruba
0.86
0.68
0.74
0.48
1.00
0.53
0.54
0.54
Table 5: Held-out AUC for distinguishing human references from wrong-row targets (M) and source-negated pairs (N). Higher is better; the negation comparison uses the corresponding 39 unaltered references.
Language
Screen
Premise
Question
Choice
Spanish
Round trip
118
23
102
Spanish
Direct NLI
107
22
33
Spanish
LaBSE
64
23
73
Spanish
COMET-QE
56
10
67
Hindi
Round trip
114
23
116
Hindi
Direct NLI
118
23
117
Table 6: Calibrated ACCORD field acceptance by type. Each language–screen pair has 120 premise fields, 24 questions, and 120 choices; counts are screen decisions without target-language equivalence labels.
Appendix figures & tables1 asset
Supplementary material from the paper’s appendix.
Appendix
Language
Screen
τ
Devtest
Short
Mismatch
Negated
ACCORD
Spanish
Round trip
0.1628
91
94
0
12
10
Spanish
Direct NLI
0.9887
89
81
0
5
0
Spanish
LaBSE
0.8412
82
70
0
26
0
Spanish
COMET-QE
-0.0456
93
96
18
38
0
Hindi
Round trip
0.0319
96
87
0
14
16
Hindi
Direct NLI
0.6415
94
90
0
15
19
Appendix
Table 7: Held-out screen decisions after per-language thresholds are fixed to admit at least 90 of 100 FLORES dev human references. Columns count accepted ordinary devtest references, disjoint short devtest references, deliberately mismatched translations, source-negated references, and full ACCORD renderings. Their denominators are 100, 100, 100, 39, and 24 per language and screen. Threshold scales differ by screen; counts are decisions, not ACCORD meaning labels.