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This paper addresses the core challenge of defining "good" explanations for Large Language Models by integrating counterfactual reasoning with the user's prior beliefs, moving beyond standard interpretability metrics. The authors argue that effective explainability requires accounting for how an interlocutor already perceives facts before presenting AI-generated justifications. This theoretical framework is essential for advancing trust and adoption in high-stakes applications where opaque LLM outputs are a barrier to entry.
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A Definition of Good Explanations and the Challenges Explaining LLM Outputs

arXiv2 min read

arXiv:2606.14838v1 Announce Type: new Abstract: How to define a good explanation is a long-standing philosophical debate which has found recent renewed interest in the context of AI outputs. Explainability is crucial for AI adoption in many contexts, but in order to produce good explanations of AI systems, we must first have an understanding of what good explanations are. In this paper we propose a definition inspired by the notion of counterfactual explanations, however we argue that one must also take into account the interlocutor's prior beliefs in each fact that could be offered in an explanation. We explore the ramifications of this definition for AI explainability and, in particular, why LLM outputs are difficult to produce good explanations for.

Abstract:How to define a good explanation is a long-standing philosophical debate which has found recent renewed interest in the context of AI outputs. Explainability is crucial for AI adoption in many contexts, but in order to produce good explanations of AI systems, we must first have an understanding of what good explanations are. In this paper we propose a definition inspired by the notion of counterfactual explanations, however we argue that one must also take into account the interlocutor's prior beliefs in each fact that could be offered in an explanation. We explore the ramifications of this definition for AI explainability and, in particular, why LLM outputs are difficult to produce good explanations for.

Artificial Intelligence (cs.AI)

arXiv:2606.14838 [cs.AI]

(or arXiv:2606.14838v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2606.14838 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 208 words

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