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Mathematics has many useful properties for developing of complex software systems. One is that it can exactly describe a physical situation of the object or outcome of an action. Mathematics support abstraction and this is an excellent…

Software Engineering · Computer Science 2010-04-19 Manoranjan Kumar Singh , Rakesh. L

A number of machine learning models have been proposed with the goal of achieving systematic generalization: the ability to reason about new situations by combining aspects of previous experiences. These models leverage compositional…

Machine Learning · Computer Science 2024-09-24 Devon Jarvis , Richard Klein , Benjamin Rosman , Andrew M. Saxe

We claim that human mathematics is only a limited part of the consequences of the chosen basic axioms. Properly human mathematics varies with time but appears to have universal features which we try to analyze. In particular the functioning…

History and Overview · Mathematics 2023-02-21 David Ruelle

Artificial Intelligence (AI) increasingly shows its potential to outperform predicate logic algorithms and human control alike. In automatically deriving a system model, AI algorithms learn relations in data that are not detectable for…

Artificial Intelligence · Computer Science 2022-10-12 Simon Daniel Duque Anton , Daniel Schneider , Hans Dieter Schotten

Understanding the fundamentals of human reasoning is central to the development of any system built to closely interact with humans. Cognitive science pursues the goal of modeling human-like intelligence from a theory-driven perspective…

Artificial Intelligence · Computer Science 2020-03-12 Nicolas Riesterer , Daniel Brand , Marco Ragni

We examine whether self-supervised language modeling applied to mathematical formulas enables logical reasoning. We suggest several logical reasoning tasks that can be used to evaluate language models trained on formal mathematical…

Machine Learning · Computer Science 2020-08-13 Markus N. Rabe , Dennis Lee , Kshitij Bansal , Christian Szegedy

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

Exploring the capabilities of Large Language Models (LLMs) in puzzle solving unveils critical insights into their potential and challenges in AI, marking a significant step towards understanding their applicability in complex reasoning…

Computation and Language · Computer Science 2025-08-04 Panagiotis Giadikiaroglou , Maria Lymperaiou , Giorgos Filandrianos , Giorgos Stamou

Reasoning is an essential component of human intelligence in that it plays a fundamental role in our ability to think critically, support responsible decisions, and solve challenging problems. Traditionally, AI has addressed reasoning in…

Artificial Intelligence · Computer Science 2025-11-17 Ha-Thanh Nguyen , Ken Satoh , Francesca Toni , Randy Goebel , Kostas Stathis

We propose Neural Reasoner, a framework for neural network-based reasoning over natural language sentences. Given a question, Neural Reasoner can infer over multiple supporting facts and find an answer to the question in specific forms.…

Artificial Intelligence · Computer Science 2015-08-25 Baolin Peng , Zhengdong Lu , Hang Li , Kam-Fai Wong

Deep learning, a branch of artificial intelligence, is a data-driven method that uses multiple layers of interconnected units or neurons to learn intricate patterns and representations directly from raw input data. Empowered by this…

Machine Learning · Computer Science 2025-07-28 Mohd Halim Mohd Noor , Ayokunle Olalekan Ige

Reasoning is an essential component of human intelligence as it plays a fundamental role in our ability to think critically, support responsible decisions, and solve challenging problems. Traditionally, AI has addressed reasoning in the…

Artificial Intelligence · Computer Science 2024-10-16 Ken Satoh , Ha-Thanh Nguyen , Francesca Toni , Randy Goebel , Kostas Stathis

Logical reasoning is a fundamental aspect of human intelligence and an essential capability for multimodal large language models (MLLMs). Despite the significant advancement in multimodal reasoning, existing benchmarks fail to…

Artificial Intelligence · Computer Science 2025-05-28 Jiakang Yuan , Tianshuo Peng , Yilei Jiang , Yiting Lu , Renrui Zhang , Kaituo Feng , Chaoyou Fu , Tao Chen , Lei Bai , Bo Zhang , Xiangyu Yue

Despite widespread success in language understanding and generation, large language models (LLMs) exhibit unclear and often inconsistent behavior when faced with tasks that require probabilistic reasoning. In this work, we present the first…

Computation and Language · Computer Science 2025-09-29 Mobina Pournemat , Keivan Rezaei , Gaurang Sriramanan , Arman Zarei , Jiaxiang Fu , Yang Wang , Hamid Eghbalzadeh , Soheil Feizi

The ability to conduct logical reasoning is a fundamental aspect of intelligent human behavior, and thus an important problem along the way to human-level artificial intelligence. Traditionally, logic-based symbolic methods from the field…

Artificial Intelligence · Computer Science 2021-01-11 Patrick Hohenecker , Thomas Lukasiewicz

We analyze reasoning in language models during task-specific fine-tuning and draws parallel between reasoning tokens--intermediate steps generated while solving problem and the human working memory. Drawing from cognitive science, we align…

Computation and Language · Computer Science 2025-12-01 Mukul Singh , Ananya Singha , Arjun Radhakrishna , Sumit Gulwani

The association between language and (non-linguistic) thinking ability in humans has long been debated, and recently, neuroscientific evidence of brain activity patterns has been considered. Such a scientific context naturally raises an…

Computation and Language · Computer Science 2025-02-18 Riku Kisako , Tatsuki Kuribayashi , Ryohei Sasano

Reasoning is a core capability of large language models, yet how multi-step reasoning is learned and executed remains unclear. We study this question in a controlled cellular-automata (1dCA) framework that excludes memorisation by using…

This essay considers the special character of mathematical reasoning, and draws on observations from interactive theorem proving and the history of mathematics to clarify the nature of formal and informal mathematical language. It proposes…

History and Overview · Mathematics 2015-08-24 Jeremy Avigad

Robots assisting humans in complex domains have to represent knowledge and reason at both the sensorimotor level and the social level. The architecture described in this paper couples the non-monotonic logical reasoning capabilities of a…

Robotics · Computer Science 2015-08-04 Zenon Colaco , Mohan Sridharan
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