What Would Falsify It? A Variable Specific Evidence Standard for Mechanistic Claims About Self Explanation
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Abstract (arXiv)
When a language model explains an answer it has already given, does it reuse the computation that produced the answer or reconstruct a story from the answer alone? Attribution, transportability and recoverability are each compatible with causal use without establishing it. We propose an evidence standard: pair each positive statistic with a variable specific null that removes the tested variable's identity while matching relevant nuisance dimensions as far as possible, and audit unmatched dimensions. We apply this standard to a known cause. A cue naming a wrong option raises the rate of choosing that option by 64 to 68 percentage points across three models. Explanations mention the cue in 1.8 percent of items or fewer in three of four models tested. Three estimator classes yield favorable statistics, but none establishes causal sensitivity to the cue contrast under its own control in the three-model analysis. In the strongest case, a recovered cue direction reaches R2 of 0.95 and exceeds a geometry matched random direction in all three seeds, while a direction fitted by the same pipeline with cue labels scrambled reproduces 61 to 76 percent of its effect at comparable realized edit magnitude. A fourth model passes one interchange endpoint, but unequal edit magnitudes and a contrast that changes both cue identity and cue-answer agreement limit its interpretation. These experiments leave causal access unresolved. They establish an evidentiary requirement: favorable mechanistic statistics must survive controls for variable identity and nuisance structure. Reusable controls separate generic from identity specific transport effects, fit null directions with scrambled labels, and audit realized intervention magnitudes.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 25 of its 28 references that are in the map. First posted on arXiv 26 Sep 2026.
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References · 25
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- 2023Language Models Don't Always Say What They Think: Unfaithful Explanations in Chain-of-Thought Promptingcited by 1,122
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- 2025Reasoning Models Don't Always Say What They Thinkcited by 415
- 2023LEACE: Perfect linear concept erasure in closed formcited by 267
13 more
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- 2020Probing the Probing Paradigm: Does Probing Accuracy Entail Task Relevance?cited by 151
- 2024Looking Inward: Language Models Can Learn About Themselves by Introspectioncited by 113
- 2026Emergent Introspective Awareness in Large Language Modelscited by 82
- 2023Is This the Subspace You Are Looking for? An Interpretability Illusion for Subspace Activation Patchingcited by 80
- 2025Walk the Talk? Measuring the Faithfulness of Large Language Model Explanationscited by 45
- 2024Transformer Circuit Faithfulness Metrics are not Robustcited by 22
- 2024FaithLM: Towards Faithful Explanations for Large Language Modelscited by 19
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- 2026Decodability is Not Causality: Dissociating Probe Readouts from Behavioral Drivers via SAE Decompositioncited by 2
- 2026When Decodability Is Not Enough: Logical Validity Representations, Behavioral Dissociation, and Causal Tests in Language Modelscited by 1
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