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Large language models (LLMs) demonstrate remarkable breadth of knowledge, yet their ability to reason about computational processes remains poorly understood. Closing this gap matters for practitioners who rely on LLMs to guide algorithm…

Computation and Language · Computer Science 2026-04-07 Sohan Venkatesh , Ashish Mahendran Kurapath , Tejas Melkote

Case-based reasoning is a cornerstone of U.S. legal practice, requiring professionals to argue about a current case by drawing analogies to and distinguishing from past precedents. While Large Language Models (LLMs) have shown remarkable…

Computation and Language · Computer Science 2026-01-21 Li Zhang , Matthias Grabmair , Morgan Gray , Kevin Ashley

Evaluating the symbolic reasoning of large language models (LLMs) calls for geometry benchmarks that require multi-step proofs grounded in both text and diagrams. However, existing benchmarks are often limited in scale and rarely provide…

Computation and Language · Computer Science 2026-03-23 Yushun Zhang , Weiping Fu , Zesheng Yang , Bo Zhao , Lingling Zhang , Jian Zhang , Yumeng Fu , Jiaxing Huang , Jun Liu

Large Reasoning Models (LRMs) have advanced rapidly; however, existing benchmarks in mathematics, code, and common-sense reasoning remain limited. They lack long-context evaluation, offer insufficient challenge, and provide answers that are…

Artificial Intelligence · Computer Science 2026-02-09 Qifan Zhang , Jianhao Ruan , Aochuan Chen , Kang Zeng , Nuo Chen , Jing Tang , Jia Li

With the rapid advancement of Artificial Intelligence (AI), Large Language Models (LLMs) have significantly impacted a wide array of domains, including healthcare, engineering, science, education, and mathematical reasoning. Among these,…

Machine Learning · Computer Science 2025-05-20 Afrar Jahin , Arif Hassan Zidan , Wei Zhang , Yu Bao , Tianming Liu

The ability of large language models (LLMs) to validate their output and identify potential errors is crucial for ensuring robustness and reliability. However, current research indicates that LLMs struggle with self-correction, encountering…

Computation and Language · Computer Science 2025-09-26 Leonardo Bertolazzi , Philipp Mondorf , Barbara Plank , Raffaella Bernardi

This study investigates the reasoning robustness of large language models (LLMs) on mathematical problem-solving tasks under systematically introduced input perturbations. Using the GSM8K dataset as a controlled testbed, we evaluate how…

Artificial Intelligence · Computer Science 2025-04-04 Giannis Chatziveroglou , Richard Yun , Maura Kelleher

Shojaee et al. (2025) report that Large Reasoning Models (LRMs) exhibit "accuracy collapse" on planning puzzles beyond certain complexity thresholds. We demonstrate that their findings primarily reflect experimental design limitations…

Artificial Intelligence · Computer Science 2025-06-18 A. Lawsen

A central question in artificial intelligence is the extent to which machine learning models comprehend mathematics. To address this, we propose a novel framework for measuring mathematical reasoning that moves beyond standard benchmarks to…

Computation and Language · Computer Science 2025-10-13 V. S. Raghu Parupudi

Logical reasoning consistently plays a fundamental and significant role in the domains of knowledge engineering and artificial intelligence. Recently, Large Language Models (LLMs) have emerged as a noteworthy innovation in natural language…

Computation and Language · Computer Science 2024-09-17 Fangzhi Xu , Qika Lin , Jiawei Han , Tianzhe Zhao , Jun Liu , Erik Cambria

Large language models (LLMs) are being rapidly integrated into decision-support tools, automation workflows, and AI-enabled software systems. However, their behavior in production environments remains poorly understood, and their failure…

Artificial Intelligence · Computer Science 2025-11-27 Vaishali Vinay

Despite their linguistic competence, Large Language Models (LLMs) often struggle to reason reliably and flexibly. To identify these shortcomings, we introduce the Non-Linear Reasoning (NLR) dataset, a collection of 55 unique, hand-designed…

Computation and Language · Computer Science 2025-12-02 Nasim Borazjanizadeh , Steven T. Piantadosi

Large language models now achieve high final-answer accuracy on mathematical reasoning benchmarks, but accuracy alone does not capture reasoning flexibility. We introduce a strategy-level evaluation framework instantiated on 80 AMC 10/12…

Artificial Intelligence · Computer Science 2026-05-12 Xia Yang , Xuanyi Zhang , Hao Hu , Feng Ji

Reasoning ability has become a central focus in the advancement of Large Reasoning Models (LRMs). Although notable progress has been achieved on several reasoning benchmarks such as MATH500 and LiveCodeBench, existing benchmarks for…

Artificial Intelligence · Computer Science 2026-01-12 Henan Sun , Kaichi Yu , Yuyao Wang , Bowen Liu , Xunkai Li , Rong-Hua Li , Nuo Chen , Jia Li

We introduce seqBench, a parametrized benchmark for probing sequential reasoning limits in Large Language Models (LLMs) through precise, multi-dimensional control over several key complexity dimensions. seqBench allows systematic variation…

Artificial Intelligence · Computer Science 2025-09-23 Mohammad Ramezanali , Mo Vazifeh , Paolo Santi

Convex analysis is a modern branch of mathematics with many applications. As Large Language Models (LLMs) start to automate research-level math and sciences, it is important for LLMs to demonstrate the ability to understand and reason with…

Artificial Intelligence · Computer Science 2026-02-05 Yepeng Liu , Yu Huang , Yu-Xiang Wang , Yingbin Liang , Yuheng Bu

Understanding how and why large language models (LLMs) fail is becoming a central challenge as models rapidly evolve and static evaluations fall behind. While automated probing has been enabled by dynamic test generation, existing…

Computation and Language · Computer Science 2026-02-16 Yue Huang , Zhengzhe Jiang , Yuchen Ma , Yu Jiang , Xiangqi Wang , Yujun Zhou , Yuexing Hao , Kehan Guo , Pin-Yu Chen , Stefan Feuerriegel , Xiangliang Zhang

Large language models (LLMs) solve complex problems yet fail on simpler variants, suggesting they achieve correct outputs through mechanisms fundamentally different from human reasoning. To understand this gap, we synthesize cognitive…

Large language models (LLMs) often achieve strong performance on reasoning benchmarks, but final-answer accuracy alone does not show whether they faithfully execute the procedure specified in a prompt. We introduce a controlled diagnostic…

Computation and Language · Computer Science 2026-05-26 Sailesh Panda , Pritam Kadasi , Abhishek Upperwal , Mayank Singh

Large language models (LLMs) can perform reasoning computations both internally within their latent space and externally by generating explicit token sequences like chains of thought. Significant progress in enhancing reasoning abilities…

Computation and Language · Computer Science 2025-04-16 Thilo Hagendorff , Sarah Fabi