arXiv AI By Xuyao Feng, Anthony Hunter

Making Implicit Premises Explicit in Logical Understanding of Enthymemes

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arXiv:2603. 06114v2 Announce Type: replace-cross Abstract: Real-world arguments in text and dialogues are normally enthymemes (i.

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arXiv AI
Aug 20

Identifying Implicit Premises for Logical Reconstruction of Argument Graphs

The paper tackles the challenge of reconstructing argument graphs from natural language by addressing enthymemes—arguments with implicit premises. It proposes a neuro‑symbolic pipeline that employs large language models to generate intermediate implicit premises, translates them into logical formulas, and combines them with explicit premises and claims to determine entailment, contradiction, or neutrality. The method is evaluated on the Microtext Argumentative Corpus.

By Xuyao Feng, Anthony Hunter
arXiv AI
Aug 20

Pairwise Logical Selection of Enthymeme Completions under Semantic-Link Uncertainty

The paper presents a neuro‑symbolic approach for selecting the correct omitted component in enthymemes, extending prior work from missing‑premise to missing‑claim selection. It replaces binary entailment with logical‑resistance scores and introduces the Possible‑World Atom‑Link Formalization (PWAL), which marginalizes over alternative semantic‑link configurations while keeping translated formulae fixed. Experiments on five tasks show that PWAL improves strict accuracy by up to 30.86 percentage points and reduces tie rates significantly, while also providing a transparent trace of each comparison.

By Xuyao Feng, Antonis Bikakis
arXiv AI
Jul 15

A Neurosymbolic Approach to Natural Language Formalization and Verification

arXiv:2511. 09008v2 Announce Type: replace-cross Abstract: Large Language Models perform well at natural language interpretation and reasoning, but their lack of formal correctness guarantees limits their adoption in regulated industries like finance and health-care that operate under strict policies.

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