arXiv — NLP / Computation & Language · · 3 min read

From Atomic Evidence to Logical Composition: Structured Compositional Reasoning over Compound Answer Options

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Computer Science > Computation and Language

arXiv:2608.12836 (cs)
[Submitted on 13 Aug 2026]

Title:From Atomic Evidence to Logical Composition: Structured Compositional Reasoning over Compound Answer Options

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Abstract:Large language models often fail when answer options require combining atomic judgments under explicit logical operators, even when they judge the individual atoms correctly. We study compound options connected by AND, OR, and NEITHER/NOR, introducing a framework that decomposes each option into atomic answers and scores contrastive hypotheses about each one, so the model never sees a compound option. An operator-constrained integer linear program then composes the calibrated scores into a single prediction. We evaluate on LOGICAL-COMMONSENSEQA and introduce LOGICAL-SATA, a reading-comprehension benchmark derived from SATA-Bench. Our framework improves Macro-F1 from 48.3 to 77.0 on the human-validated LOGICAL-COMMONSENSEQA split and from 47.0 to 75.6 on LOGICAL-SATA, with the largest gains on NEITHER/NOR.
Comments: 21 pages, 6 figures, 10 tables
Subjects: Computation and Language (cs.CL); Artificial Intelligence (cs.AI)
Cite as: arXiv:2608.12836 [cs.CL]
  (or arXiv:2608.12836v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2608.12836
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Obed Junias [view email]
[v1] Thu, 13 Aug 2026 05:18:55 UTC (4,235 KB)
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