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20 results for “Basic knowledge of mathematical reasoning”

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cs.AIcs.CLcs.LGRecentMay 30, 2026

AXIOM: A Trust-First Neuro-Symbolic Execution Architecture for Verifiable Mathematical Reasoning

Alessio Bruno

AXIOM is a trust-first neuro-symbolic execution architecture that ensures verifiable mathematical reasoning by strictly separating language model interpretation from deterministic computation, achievi…

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cs.AIcs.CLcs.LGRecentMay 28, 2026

DenseSteer: Steering Small Language Models towards Dense Math Reasoning

Yang Ouyang, Shuhang Lin, Jung-Eun Kim

DenseSteer is a training-free inference-time framework that improves the math reasoning capabilities of small language models by steering their internal representations toward a 'Dense Reasoning' patt…

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cs.AITheoreticalRecentJul 3, 2026

Applying Answer Set Programming with Fuzzy Membership Functions: a Case Study

Luca Ferragina, Ilenia Galati, Lorena Gullone, Francesco Scarcello

This paper introduces a fuzzy-logic-based qualitative extension of Answer Set Programming (ASP) to integrate numerical information and qualitative reasoning.

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cs.CLcs.AIRecentJun 1, 2026

A Primer in Post-Training Reasoning Data: What We Know About How It Works

Yaoming Li, Guangxiang Zhao, Qilong Shi, Lin Sun +2 more

This paper synthesizes over 150 scattered studies and reports to provide the first comprehensive primer on post-training reasoning data, organizing the field around data objects, utility, construction…

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cs.AIRecentMay 30, 2026

KACE: Knowledge-Adaptive Context Engineering for Mathematical Reasoning

Jayant Parashar, Suchendra M. Bhandarkar

KACE introduces a novel knowledge-adaptive context engineering framework that separates knowledge storage from usage, significantly improving mathematical reasoning accuracy on challenging benchmarks…

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cs.AIcs.CLcs.LORecentMay 27, 2026

Satisfiability Solving with LLMs: A Matched-Pair Evaluation of Reasoning Capability

Leizhen Zhang, Shuhan Chen, Sheng Chen

The paper evaluates LLM reasoning on Boolean satisfiability (SAT) problems, concluding that conventional metrics are misleading and proposing a paired-formula protocol with Accurate Differentiation Ra…

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cs.AIRecentMay 28, 2026

TRACE: Toulmin-based Reasoning Assessment through Constructive Elements for LLM CoT Evaluation

Yundong Kim, Heyoung Yang

The paper introduces TRACE, a novel metric that evaluates the logical structure of LLM reasoning (CoT) by integrating Toulmin's argumentation theory, demonstrating that sound reasoning structure corre…

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cs.AIcs.CLRecentMay 27, 2026

Revealing Algorithmic Deductive Circuits for Logical Reasoning

Phuong Minh Nguyen, Tien Huu Dang, Naoya Inoue

This paper localizes the attention heads within LLMs responsible for specific reasoning steps, finding that specialized heads handle factual retrieval while higher layers manage global information int…

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cs.CLEmpiricalRecentJul 2, 2026

CheckRLM: Effective Knowledge-Thought Coherence Checking in Retrieval-Augmented Reasoning

Dingling Xu, Ruobing Wang, Qingfei Zhao, Yukun Yan +7 more

The paper proposes CheckRLM, a framework that improves the reliability of Reasoning Language Models by identifying and correcting factual errors using Retrieval-Augmented Generation.

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cs.CVcs.AIcs.CLRecentMay 31, 2026

Distilling Neuro-Symbolic Programs into 3D Multi-modal LLMs

Wentao Mo, Yang Liu

The paper introduces APEIRIA, a neuro-symbolic 3D Multi-modal LLM that bridges the gap between interpretable symbolic reasoning and flexible, open-vocabulary 3D understanding.

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cs.AIRecentMay 28, 2026

Temporal Stability and Few-Shot Prompting in Math Task Assessment

Danielle S. Fox, Brenda L. Robles, Elizabeth DiPietro Brovey, Christian D. Schunn

This study investigated the stability and prompt-responsiveness of AI tools in classifying the cognitive demand of math tasks, finding that few-shot prompting was a more reliable performance booster t…

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cs.CLcs.AIEmpiricalRecentJul 17, 2026

Frontier AI performance across the business disciplines: a case-grounded benchmark of knowledge work and analytical reasoning

Ajay Patel, Kartik Hosanagar, Ramayya Krishnan, Chris Callison-Burch +2 more

The paper introduces BusinessCaseBench, a benchmark for measuring AI performance on analytical knowledge work using business cases and grading rubrics.

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cs.LOcs.MATheoreticalRecentJul 22, 2026

The Dynamic Turn in Paraconsistency

Rafael Ongaratto, Hans van Ditmarsch

This paper introduces dynamic epistemic paraconsistent logics AMLFI1, PALFI1, and UMLFI1, extending the epistemic paraconsistent logics KLFI1, KB4LFI1, and S5LFI1. It proves soundness and completeness…

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cs.AIcs.CLcs.LGRecentMay 31, 2026

An Enigma of Artificial Reason: Investigating the Production-Evaluation Gap in Large Reasoning Models

Mingzhong Sun, Teresa Yeo, Armando Solar-Lezama, Tan Zhi-Xuan

This paper investigates the production-evaluation gap in Large Reasoning Models (LRMs), finding that while LRMs excel at generating solutions, they struggle significantly to evaluate flawed reasoning,…

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cs.AIRecentMay 30, 2026

Doing What They Say, Not What They Reason: Locating the Faithfulness Gap in LLM Agents

Yufeng Wang

This paper investigates the 'faithfulness gap' in LLM agents—the discrepancy between stated reasoning and actual action—by decomposing it into two opposing steps: reasoning-to-conclusion and conclusio…

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cs.CLcs.AIRecentMay 27, 2026

Skill-Conditioned Gated Self-Distillation for LLM Reasoning

Jiazhen Huang, Xiao Chen, Xiao Luo, Yong Dai +2 more

The paper proposes Skill-Conditioned Gated Self-Distillation (SGSD), a novel framework that uses retrieved, potentially noisy skills to guide LLM reasoning, achieving state-of-the-art performance on m…

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