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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

Conceptual reasoning, the ability to reason in abstract and high-level perspectives, is key to generalization in human cognition. However, limited study has been done on large language models' capability to perform conceptual reasoning. In…

Computation and Language · Computer Science 2024-04-02 Ben Zhou , Hongming Zhang , Sihao Chen , Dian Yu , Hongwei Wang , Baolin Peng , Dan Roth , Dong Yu

Although they differ in the functionality they offer, low-level systems exhibit certain patterns of design and utilization of computing resources. In this paper, we argue the position that modalities, in the sense of modal logic, should be…

Logic in Computer Science · Computer Science 2025-09-30 Ismail Kuru , Colin S. Gordon

Evidence-grounded reasoning requires more than attaching retrieved text to a prediction: a model should make decisions that depend on whether the provided evidence supports the target claim. In practice, this often fails because supervision…

Computation and Language · Computer Science 2026-04-13 Soroosh Tayebi Arasteh , Mehdi Joodaki , Mahshad Lotfinia , Sven Nebelung , Daniel Truhn

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2023-11-27 Aurel Bílý , João C. Pereira , Jan Schär , Peter Müller

Vision-language models (VLMs) are increasingly deployed in high-stakes settings where reliable uncertainty quantification (UQ) is as important as predictive accuracy. Extended reasoning via chain-of-thought (CoT) prompting or…

Machine Learning · Computer Science 2026-03-18 Robert Welch , Emir Konuk , Kevin Smith

In this paper, we investigate knowledge reasoning within a simple framework called knowledge structure. We use variable forgetting as a basic operation for one agent to reason about its own or other agents\ knowledge. In our framework, two…

Logic in Computer Science · Computer Science 2014-01-16 Kaile Su , Abdul Sattar , Guanfeng Lv , Yan Zhang

As large language models (LLMs) evolve into autonomous agents, evaluating repository-level reasoning, the ability to maintain logical consistency across massive, real-world, interdependent file systems, has become critical. Current…

Software Engineering · Computer Science 2026-05-05 Jia Li , Yuxin Su , Michael R. Lyu

Multimodal large language models (MLLMs) often struggle to ground reasoning in perceptual evidence. We present a systematic study of perception strategies-explicit, implicit, visual, and textual-across four multimodal benchmarks and two…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yizhuo Ding , Mingkang Chen , Zhibang Feng , Tong Xiao , Wanying Qu , Wenqi Shao , Yanwei Fu

Argumentation has proved a useful tool in defining formal semantics for assumption-based reasoning by viewing a proof as a process in which proponents and opponents attack each others arguments by undercuts (attack to an argument's premise)…

Logic in Computer Science · Computer Science 2007-05-23 Ralf Schweimeier , Michael Schroeder

Deploying small language models (7-9B parameters) as autonomous agents requires trust in their reasoning, not just their outputs. We reveal a critical reliability crisis: 50-69\% of correct answers from these models contain fundamentally…

Machine Learning · Computer Science 2026-01-05 Laksh Advani

When large language models (LLMs) exceed human-level capabilities, it becomes increasingly challenging to provide full-scale and accurate supervision for these models. Weak-to-strong learning, which leverages a less capable model to unlock…

Computation and Language · Computer Science 2024-10-02 Yuqing Yang , Yan Ma , Pengfei Liu

The recent paradigm shift towards training large language models (LLMs) using DeepSeek-R1-Zero-style reinforcement learning (RL) on verifiable rewards has led to impressive advancements in code and mathematical reasoning. However, this…

Machine Learning · Computer Science 2025-05-28 Xiangxin Zhou , Zichen Liu , Anya Sims , Haonan Wang , Tianyu Pang , Chongxuan Li , Liang Wang , Min Lin , Chao Du

Successful completion of reasoning task requires the agent to have relevant prior knowledge or some given context of the world dynamics. Usually, the information provided to the system for a reasoning task is just the query or some…

Artificial Intelligence · Computer Science 2019-11-18 Vatsal Mahajan

Modern language models (LMs) exhibit strong deductive reasoning capabilities, yet standard evaluations emphasize correctness while overlooking a key aspect of reasoning: efficiency. In real-world reasoning scenarios, much of the available…

Many vision and language tasks require commonsense reasoning beyond data-driven image and natural language processing. Here we adopt Visual Question Answering (VQA) as an example task, where a system is expected to answer a question in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-26 Somak Aditya , Yezhou Yang , Chitta Baral

Multiprocess systems, including grid systems, multiprocessors and multicore computers, incorporate a variety of specialized hardware and software mechanisms, which speed computation, but result in complex memory behavior. As a consequence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-04 Steven Cheng , Lisa Higham , Jalal Kawash

Training Large Language Models (LLMs) to reason often relies on Reinforcement Learning (RL) with task-specific verifiers. However, many real-world reasoning-intensive tasks lack verifiers, despite offering abundant expert demonstrations…

Machine Learning · Computer Science 2025-12-10 Locke Cai , Ivan Provilkov

We develop a new intermediate weak memory model, IMM, as a way of modularizing the proofs of correctness of compilation from concurrent programming languages with weak memory consistency semantics to mainstream multi-core architectures,…

Programming Languages · Computer Science 2018-11-12 Anton Podkopaev , Ori Lahav , Viktor Vafeiadis

Relational reasoning is the ability to infer relations that jointly bind multiple entities, attributes, or variables. This ability is central to scientific reasoning, but existing evaluations of relational reasoning in large language models…

Artificial Intelligence · Computer Science 2026-04-15 Lukas Fesser , Yasha Ektefaie , Ada Fang , Sham M. Kakade , Marinka Zitnik
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