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Structured reasoning can improve the inference performance of large language models (LLMs), but it also introduces computational cost and control constraints. When additional reasoning structure helps, and when it instead reduces efficiency…

Machine Learning · Computer Science 2026-04-14 Junyu Guo , Shangding Gu , Ming Jin , Costas Spanos , Javad Lavaei

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

We introduce LinAlg-Bench, a diagnostic benchmark evaluating 10 frontier large language models on structured linear algebra computation across a strict dimensional gradient of 3x3, 4x4, and 5x5 matrices. Spanning 9 task types and 660…

Artificial Intelligence · Computer Science 2026-05-19 Shradha Agarwal , Deepak Rajbhar , Tariq J

Multimodal Large Language Models (MLLMs) excel at recognizing individual visual elements and reasoning over simple linear diagrams. However, when faced with complex topological structures involving branching paths, converging flows, and…

Artificial Intelligence · Computer Science 2026-04-24 Qiang Xu , Shengyuan Bai , Yu Wang , He Cao , Leqing Chen , Yuanyuan Liu , Bin Feng , Zijing Liu , Yu Li

Large language models (LLMs) achieve impressive performance on complex mathematical benchmarks yet sometimes fail on basic math reasoning while generating unnecessarily verbose responses. In this paper, we present LLMThinkBench, a…

Computation and Language · Computer Science 2026-04-24 Gaurav Srivastava , Aafiya Hussain , Sriram Srinivasan , Xuan Wang

While Large Language Models have achieved notable success on formal mathematics benchmarks such as MiniF2F, it remains unclear whether these results stem from genuine logical reasoning or semantic pattern matching against pre-training data.…

Machine Learning · Computer Science 2026-05-04 Lixing Li

Recent large language models (LLMs) achieve near-saturation accuracy on many established mathematical reasoning benchmarks, raising concerns about their ability to diagnose genuine reasoning competence. This saturation largely stems from…

Different types of reasoning impose different structural demands on representational systems, yet no systematic account of these demands exists across psychology, AI, and philosophy of mind. I propose a framework identifying four structural…

Artificial Intelligence · Computer Science 2026-04-03 Yiling Wu

We introduce an extensive qualitative spatial and temporal reasoning (QSTR) benchmark for evaluating large language models (LLMs). We pose questions concerning compositional reasoning (using composition tables, CT), converse relations, and…

Artificial Intelligence · Computer Science 2026-05-19 Anthony G. Cohn , Robert E. Blackwell

We present Team asdfo123's submission to the LLMSR@XLLM25 shared task, which evaluates large language models on producing fine-grained, controllable, and interpretable reasoning processes. Systems must extract all problem conditions,…

Computation and Language · Computer Science 2025-05-20 Xinye Li , Mingqi Wan , Dianbo Sui

Solving topological grid puzzles requires reasoning over global spatial invariants such as connectivity, loop closure, and region symmetry and remains challenging for even the most powerful large language models (LLMs). To study these…

Artificial Intelligence · Computer Science 2026-03-13 Mayug Maniparambil , Nils Hoehing , Janak Kapuriya , Arjun Karuvally , Ellen Rushe , Anthony Ventresque , Noel O'Connor , Fergal Reid

Rule-based reasoning over natural language input arises in domains where decisions must be auditable and justifiable: clinical protocols specify eligibility criteria in prose, evidence rules define admissibility through textual conditions,…

Artificial Intelligence · Computer Science 2026-01-06 Albert Sadowski , Jarosław A. Chudziak

Spatial intelligence is crucial for vision--language models (VLMs) in the physical world, yet many benchmarks evaluate largely unconstrained scenes where models can exploit 2D shortcuts. We introduce SSI-Bench, a VQA benchmark for spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Chen Yang , Guanxin Lin , Youquan He , Peiyao Chen , Guanghe Liu , Yufan Mo , Zhouyuan Xu , Linhao Wang , Guohui Zhang , Zihang Zhang , Shenxiang Zeng , Chen Wang , Jiansheng Fan

Algebraic reasoning remains one of the most informative stress tests for large language models, yet current benchmarks provide no mechanism for attributing failure to a specific cause. When a model fails an algebraic problem, a single…

Computation and Language · Computer Science 2026-04-09 Parth Patil , Dhruv Kumar , Yash Sinha , Murari Mandal

Reasoning in large language models is predominantly evaluated through labeled benchmarks, conflating task performance with the quality of internal inference. Here we study reasoning as an intrinsic dynamical process by examining the…

Large language models (LLMs) are deployed on increasingly complex tasks that require multi-step decision-making. Understanding their algorithmic reasoning abilities is therefore crucial. However, we lack a diagnostic benchmark for…

Machine Learning · Computer Science 2026-02-12 Yu He , Yingxi Li , Colin White , Ellen Vitercik

Mathematical benchmarks consisting of a range of mathematics problems are widely used to evaluate the reasoning abilities of large language models, yet little is known about how their structural properties influence model behaviour. In this…

Artificial Intelligence · Computer Science 2026-04-10 Lucía M. Cabrera , Isaac Saxton-Knight

This paper asks whether a bounded neural architecture can exhibit a meaningful division of labor between intuition and deliberation on a classic 64-item syllogistic reasoning benchmark. More broadly, the benchmark is relevant to ongoing…

Artificial Intelligence · Computer Science 2026-03-25 Laurence Anthony

We conduct a systematic audit of three widely used reasoning benchmarks, SocialIQa, FauxPas-EAI, and ToMi, and uncover pervasive flaws in both benchmark items and evaluation methodology. Using five LLMs (GPT-{3, 3.5, 4, o1}, and LLaMA 3.1)…

Computation and Language · Computer Science 2025-07-01 Seyed Mahed Mousavi , Edoardo Cecchinato , Lucia Hornikova , Giuseppe Riccardi

Large language models perform well on many logical reasoning benchmarks, but it remains unclear which core logical skills they truly master. To address this, we introduce LogicSkills, a benchmark that isolates three fundamental logical…

Artificial Intelligence · Computer Science 2026-03-18 Brian Rabern , Philipp Mondorf , Barbara Plank
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