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Mathematical understanding and reasoning are crucial tasks for assessing the capabilities of artificial intelligence (AI). However, existing benchmarks either require just a few steps of reasoning, or only contain a small amount of data in…

Computation and Language · Computer Science 2023-11-10 Haoyi Wu , Wenyang Hui , Yezeng Chen , Weiqi Wu , Kewei Tu , Yi Zhou

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

Computation and Language · Computer Science 2025-06-04 Ziyin Zhang , Jiahao Xu , Zhiwei He , Tian Liang , Qiuzhi Liu , Yansi Li , Linfeng Song , Zhenwen Liang , Zhuosheng Zhang , Rui Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

Knowledge representation and reasoning in neural networks have been a long-standing endeavor which has attracted much attention recently. The principled integration of reasoning and learning in neural networks is a main objective of the…

Artificial Intelligence · Computer Science 2025-05-28 Son Tran , Edjard Mota , Artur d'Avila Garcez

As deep neural models in NLP become more complex, and as a consequence opaque, the necessity to interpret them becomes greater. A burgeoning interest has emerged in rationalizing explanations to provide short and coherent justifications for…

Computation and Language · Computer Science 2024-05-21 Neema Kotonya , Francesca Toni

Large language models (LLMs) have shown increasing in-context learning capabilities through scaling up model and data size. Despite this progress, LLMs are still unable to solve algorithmic reasoning problems. While providing a rationale…

Machine Learning · Computer Science 2022-11-17 Hattie Zhou , Azade Nova , Hugo Larochelle , Aaron Courville , Behnam Neyshabur , Hanie Sedghi

Modeling legal reasoning and argumentation justifying decisions in cases has always been central to AI & Law, yet contemporary developments in legal NLP have increasingly focused on statistically classifying legal conclusions from text.…

Computation and Language · Computer Science 2024-10-16 T. Y. S. S Santosh , Kevin D. Ashley , Katie Atkinson , Matthias Grabmair

Reliable verification of proofs remains a bottleneck for training and evaluating AI systems on hard mathematical reasoning. Fully formal proofs, in languages like Lean, are easy to verify because they are unambiguous and modular. Most…

Logic in Computer Science · Computer Science 2026-05-21 Slim Barkallah , Luke Bailey , Kaiyue Wen , Mohammed Abouzaid , Tengyu Ma

Argumentation is a central subarea of Artificial Intelligence (AI) for modeling and reasoning about arguments. The semantics of abstract argumentation frameworks (AFs) is given by sets of arguments (extensions) and conditions on the…

Artificial Intelligence · Computer Science 2025-05-19 Johannes Fichte , Nicolas Fröhlich , Markus Hecher , Victor Lagerkvist , Yasir Mahmood , Arne Meier , Jonathan Persson

Mathematical reasoning is a cornerstone of artificial general intelligence and a primary benchmark for evaluating the capabilities of Large Language Models (LLMs). While state-of-the-art models show promise, they often falter when faced…

Computation and Language · Computer Science 2025-07-29 Yifan Hao , Fangning Chao , Yaqian Hao , Zhaojun Cui , Huan Bai , Haiyu Zhang , Yankai Liu , Chao Deng , Junlan Feng

Autoformalization plays a crucial role in formal mathematical reasoning by enabling the automatic translation of natural language statements into formal languages. While recent advances using large language models (LLMs) have shown…

Computation and Language · Computer Science 2025-06-13 Lan Zhang , Marco Valentino , Andre Freitas

Recently, there is an increasing interest in understanding the performance of AI systems in solving math problems. A multitude of tests have been performed, with mixed conclusions. In this paper we discuss an experiment we have made in the…

Artificial Intelligence · Computer Science 2025-04-21 Răzvan Diaconescu

Over the past thirty years or so the authors have been teaching various programming for mathematics courses at our respective Universities, as well as incorporating computer algebra and numerical computation into traditional mathematics…

History and Overview · Mathematics 2022-03-16 Jack Betteridge , Eunice Y. S. Chan , Robert M. Corless , James H. Davenport , James Grant

Mathematical reasoning would be one of the next frontiers for artificial intelligence to make significant progress. The ongoing surge to solve math word problems (MWPs) and hence achieve better mathematical reasoning ability would continue…

Computation and Language · Computer Science 2021-11-11 Keyur Faldu , Amit Sheth , Prashant Kikani , Manas Gaur , Aditi Avasthi

Legal decisions should be logical and based on statutory laws. While large language models(LLMs) are good at understanding legal text, they cannot provide verifiable justifications. We present L4L, a solver-centric framework that enforces…

Artificial Intelligence · Computer Science 2026-03-06 Linze Chen , Yufan Cai , Zhe Hou , Jin Song Dong

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

Artificial intelligence (AI) tools are being incorporated into scientific research workflows with the potential to enhance efficiency in tasks such as document analysis, question answering (Q&A), and literature search. However, system…

Artificial Intelligence · Computer Science 2026-05-13 Anthea Dathe , Kiran Hoffmann , Aline Mangold

Is explainability a false promise? This debate has emerged from the insufficient evidence that explanations help people in situations they are introduced for. More human-centered, application-grounded evaluations of explanations are needed…

Computation and Language · Computer Science 2024-11-06 Fateme Hashemi Chaleshtori , Atreya Ghosal , Alexander Gill , Purbid Bambroo , Ana Marasović

The evolution of Artificial Intelligence (AI) has been significantly accelerated by advancements in Large Language Models (LLMs) and Large Multimodal Models (LMMs), gradually showcasing potential cognitive reasoning abilities in…

Information retrieval has long focused on ranking documents by semantic relatedness. Yet many real-world information needs demand more: enforcement of logical constraints, multi-step inference, and synthesis of multiple pieces of evidence.…

Information Retrieval · Computer Science 2026-02-04 Mohanna Hoveyda , Panagiotis Efstratiadis , Arjen de Vries , Maarten de Rijke

Math word problem (MWP) serves as a fundamental research topic in artificial intelligence (AI) dating back to 1960s. This research aims to advance the reasoning abilities of AI by mirroring the human-like cognitive intelligence. The…

Artificial Intelligence · Computer Science 2025-10-28 Zhenya Huang , Jiayu Liu , Xin Lin , Zhiyuan Ma , Shangzi Xue , Tong Xiao , Qi Liu , Yee Whye Teh , Enhong Chen