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In this paper we examine the limitations of Large Language Models (LLMs) for complex reasoning tasks. Although recent works have started to employ formal languages as an intermediate representation for reasoning tasks, they often face…

Logic in Computer Science · Computer Science 2024-08-07 Shashank Kirtania , Priyanshu Gupta , Arjun Radhakirshna

Large Language Models (LLMs) have demonstrated significant performance improvements across various cognitive tasks. An emerging application is using LLMs to enhance retrieval-augmented generation (RAG) capabilities. These systems require…

Computation and Language · Computer Science 2025-01-28 Satyapriya Krishna , Kalpesh Krishna , Anhad Mohananey , Steven Schwarcz , Adam Stambler , Shyam Upadhyay , Manaal Faruqui

Large language models (LLMs) have made remarkable strides in various natural language processing tasks, but their performance on complex reasoning problems remains hindered by a lack of explainability and trustworthiness. This issue, often…

Computation and Language · Computer Science 2025-10-21 Rong Wu , Pinlong Cai , Jianbiao Mei , Licheng Wen , Tao Hu , Xuemeng Yang , Daocheng Fu , Botian Shi

Large Language Models (LLMs) often struggle with complex multi-step planning tasks, showing high rates of constraint violations and inconsistent solutions. Existing strategies such as Chain-of-Thought and ReAct rely on implicit state…

Artificial Intelligence · Computer Science 2025-12-17 Annu Rana , Gaurav Kumar

Recent Large Reasoning Models (LRMs), such as DeepSeek-R1 and OpenAI o1, have demonstrated strong performance gains by scaling up the length of Chain-of-Thought (CoT) reasoning during inference. However, a growing concern lies in their…

Large language models show improved downstream task performance when prompted to generate step-by-step reasoning to justify their final answers. These reasoning steps greatly improve model interpretability and verification, but objectively…

Computation and Language · Computer Science 2023-09-13 Olga Golovneva , Moya Chen , Spencer Poff , Martin Corredor , Luke Zettlemoyer , Maryam Fazel-Zarandi , Asli Celikyilmaz

Specification languages are essential in deductive program verification, but they are usually based on first-order logic, hence less expressive than the programs they specify. Recently, trace specification logics with fixed points that are…

Logic in Computer Science · Computer Science 2025-11-18 Niklas Heidler , Reiner Hähnle

Reinforcement Learning with Verifiable Rewards (RLVR)-based post-training of Large Language Models (LLMs) has been shown to improve accuracy on reasoning tasks and continues to attract significant attention. Existing RLVR methods, however,…

Artificial Intelligence · Computer Science 2025-10-22 Soumya Rani Samineni , Durgesh Kalwar , Vardaan Gangal , Siddhant Bhambri , Subbarao Kambhampati

Mathematical reasoning is regarded as a necessary ability for Language Models (LMs). Recent works demonstrate large LMs' impressive performance in solving math problems. The success is attributed to their Chain-of-Thought (CoT) reasoning…

Computation and Language · Computer Science 2023-06-08 Tianduo Wang , Wei Lu

Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks. Reasoning with LLMs is central to solving multi-step problems and complex decision-making. To support efficient reasoning, recent studies…

Computation and Language · Computer Science 2025-09-03 Jindong Li , Yali Fu , Li Fan , Jiahong Liu , Yao Shu , Chengwei Qin , Menglin Yang , Irwin King , Rex Ying

Reinforcement-learned reasoning has powered recent AI leaps on verifiable tasks, including mathematics, code, and structure prediction. The harder bottleneck is evaluative judgment in low-verifiability domains, where no oracle anchors…

Artificial Intelligence · Computer Science 2026-05-15 Ziqin Gong , Ning Li , Huaikang Zhou

Although most of the automated theorem-proving approaches depend on formal proof systems, informal theorem proving can align better with large language models' (LLMs) strength in natural language processing. In this work, we identify a…

Artificial Intelligence · Computer Science 2026-04-20 Yunhe Li , Hao Shi , Bowen Deng , Wei Wang , Mengzhe Ruan , Hanxu Hou , Zhongxiang Dai , Siyang Gao , Chao Wang , Shuang Qiu , Linqi Song

Large Language Models (LLMs) have benefited enormously from scaling, yet these gains are bounded by five fundamental limitations: (1) hallucination, (2) context compression, (3) reasoning degradation, (4) retrieval fragility, and (5)…

The development of Large Language Models (LLMs) has created transformative opportunities for the financial industry, especially in the area of financial trading. However, how to integrate LLMs with trading systems has become a challenge. To…

Computational Engineering, Finance, and Science · Computer Science 2024-12-09 Yu Kang , Ge Wang , Xin Yang , Yuda Wang , Mingwen Liu

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

Complex logical reasoning tasks require a long sequence of reasoning, which a large language model (LLM) with chain-of-thought prompting still falls short. To alleviate this issue, neurosymbolic approaches incorporate a symbolic solver.…

Computation and Language · Computer Science 2025-07-22 Hyun Ryu , Gyeongman Kim , Hyemin S. Lee , Eunho Yang

Large Language Models (LLMs) still struggle with complex logical reasoning. While previous works achieve remarkable improvements, their performance is highly dependent on the correctness of translating natural language (NL) problems into a…

Artificial Intelligence · Computer Science 2025-10-14 Xiangyu Wang , Haocheng Yang , Fengxiang Cheng , Fenrong Liu

Despite strong performance on vision-language tasks, Multimodal Large Language Models (MLLMs) struggle with mathematical problem-solving, with both open-source and state-of-the-art models falling short of human performance on visual-math…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 William Rudman , Michal Golovanevsky , Amir Bar , Vedant Palit , Yann LeCun , Carsten Eickhoff , Ritambhara Singh

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

Deductive reasoning plays a pivotal role in the formulation of sound and cohesive arguments. It allows individuals to draw conclusions that logically follow, given the truth value of the information provided. Recent progress in the domain…

Computation and Language · Computer Science 2024-06-04 Philipp Mondorf , Barbara Plank