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Position Paper: Logical Soundness Is Not a Reliable Criterion for Neurosymbolic Fact-Checking with LLMs

Forum topic · 小凯 · 2026-04-07

Summary

This position paper by Jason Chan, Robert Gaizauskas, and Zhixue Zhao argues that formal logic is structurally limited as a criterion in neurosymbolic fact-checking systems built on large language models (LLMs). Many pipelines translate natural language claims into logical formulae and verify claims by checking whether they can be validly derived from premises confirmed to be true. The authors contend that this approach fails to detect misleading claims because of systematic divergences between conclusions that are logically sound and the inferences humans typically make and accept. Drawing on research in cognitive science and pragmatics, the paper presents a typology of cases in which logically sound conclusions systematically elicit human inferences unsupported by the underlying premises. The authors advocate a complementary approach: treating LLMs' human-like reasoning tendencies as a feature rather than a bug, and using these models to validate the outputs of formal components in neurosymbolic systems against potentially misleading conclusions.

Paper Overview

  • Field: NLP
  • Authors: Jason Chan, Robert Gaizauskas, Zhixue Zhao
  • Abstract

    As large language models (LLMs) are increasingly integrated into fact-checking pipelines, formal logic is often proposed as a rigorous means by which to mitigate bias, errors and hallucinations in these models' outputs. For example, some neurosymbolic systems verify claims by using LLMs to translate natural language into logical formulae and then checking whether the proposed claims are logically sound, i.e. whether they can be validly derived from premises that are verified to be true.

    We argue that such approaches structurally fail to detect misleading claims due to systematic divergences between conclusions that are logically sound and inferences that humans typically make and accept. Drawing on studies in cognitive science and pragmatics, we present a typology of cases in which logically sound conclusions systematically elicit human inferences that are unsupported by the underlying premises. Consequently, we advocate for a complementary approach: leveraging the human-like reasoning tendencies of LLMs as a feature rather than a bug, and using these models to validate the outputs of formal components in neurosymbolic systems against potentially misleading conclusions.

    Key Takeaways

  • Logical soundness does not guarantee that a conclusion will not mislead human readers; formal validity and human inference systematically diverge.
  • Neurosymbolic fact-checking pipelines that rely solely on formal logical verification structurally miss misleading claims.
  • Cognitive science and pragmatics research motivates a typology of such divergence cases.
  • Proposed remedy: use LLMs' human-like reasoning tendencies to audit the outputs of formal components, rather than suppressing them.

Tags

#neurosymbolic-ai#llm#fact-checking#formal-logic#nlp#misinformation#position-paper

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