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We propose Logic Tensor Networks: a uniform framework for integrating automatic learning and reasoning. A logic formalism called Real Logic is defined on a first-order language whereby formulas have truth-value in the interval [0,1] and…

Artificial Intelligence · Computer Science 2016-07-08 Luciano Serafini , Artur d'Avila Garcez

One approach to explaining the hierarchical levels of understanding within a machine learning model is the symbolic method of inductive logic programming (ILP), which is data efficient and capable of learning first-order logic rules that…

Machine Learning · Computer Science 2023-09-01 Andreas Bueff , Vaishak Belle

Algorithms based on deep network models are being used for many pattern recognition and decision-making tasks in robotics and AI. Training these models requires a large labeled dataset and considerable computational resources, which are not…

Artificial Intelligence · Computer Science 2022-01-26 Mohan Sridharan , Tiago Mota

The human reasoning process is seldom a one-way process from an input leading to an output. Instead, it often involves a systematic deduction by ruling out other possible outcomes as a self-checking mechanism. In this paper, we describe the…

Artificial Intelligence · Computer Science 2020-03-10 Fang Wan , Chaoyang Song

Neural network models can now recognise images, understand text, translate languages, and play many human games at human or superhuman levels. These systems are highly abstracted, but are inspired by biological brains and use only…

Neurons and Cognition · Quantitative Biology 2019-03-06 Katherine R. Storrs , Nikolaus Kriegeskorte

Current advances in Artificial Intelligence and machine learning in general, and deep learning in particular have reached unprecedented impact not only across research communities, but also over popular media channels. However, concerns…

Artificial Intelligence · Computer Science 2019-05-16 Artur d'Avila Garcez , Marco Gori , Luis C. Lamb , Luciano Serafini , Michael Spranger , Son N. Tran

Today, intelligent systems that offer artificial intelligence capabilities often rely on machine learning. Machine learning describes the capacity of systems to learn from problem-specific training data to automate the process of analytical…

Artificial Intelligence · Computer Science 2021-04-15 Christian Janiesch , Patrick Zschech , Kai Heinrich

The field of statistical relational learning aims at unifying logic and probability to reason and learn from data. Perhaps the most successful paradigm in the field is probabilistic logic programming: the enabling of stochastic primitives…

Machine Learning · Computer Science 2018-09-20 Stefanie Speichert , Vaishak Belle

Reasoning is an important task for large language models (LLMs). Among all the reasoning paradigms, inductive reasoning is one of the fundamental types, which is characterized by its particular-to-general thinking process and the…

Computation and Language · Computer Science 2026-04-14 Kedi Chen , Dezhao Ruan , Yuhao Dan , Yaoting Wang , Siyu Yan , Xuecheng Wu , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Biqing Qi , Linyang Li , Qipeng Guo , Xiaoming Shi , Wei Zhang

Recent years have witnessed the great success of deep neural networks in many research areas. The fundamental idea behind the design of most neural networks is to learn similarity patterns from data for prediction and inference, which lacks…

Artificial Intelligence · Computer Science 2019-10-22 Shaoyun Shi , Hanxiong Chen , Min Zhang , Yongfeng Zhang

We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse

Large language models (LLMs) often struggle with complex mathematical tasks, prone to "hallucinating" incorrect answers due to their reliance on statistical patterns. This limitation is further amplified in average Small LangSLMs with…

Deep learning models have been efficient lately on image parsing tasks. However, deep learning models are not fully capable of exploiting visual and contextual information simultaneously. The proposed three-layer context-based deep…

Computer Vision and Pattern Recognition · Computer Science 2022-04-14 Ranju Mandal , Basim Azam , Brijesh Verma

The search for information on the web is faced with several problems, which arise on the one hand from the vast number of available sources, and on the other hand from their heterogeneity. A promising approach is the use of multi-agent…

Multiagent Systems · Computer Science 2007-05-23 T. Eiter , M. Fink , G. Sabbatini , H. Tompits

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

Reasoning, a crucial ability for complex problem-solving, plays a pivotal role in various real-world settings such as negotiation, medical diagnosis, and criminal investigation. It serves as a fundamental methodology in the field of…

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

Large Language Models (LLMs) have rapidly transformed the landscape of artificial intelligence, enabling natural language interfaces and dynamic orchestration of software components. However, their reliance on probabilistic inference limits…

Machine Learning · Computer Science 2025-07-01 Claudionor Coelho , Yanen Li , Philip Tee

Large language models (LLMs) are increasingly evaluated on reasoning tasks, yet their logical abilities remain contested. To address this, we study LLMs' reasoning in a well-defined fragment of logic: syllogistic reasoning. We cast the…

Computation and Language · Computer Science 2026-01-27 Leonardo Bertolazzi , Manuel Vargas Guzmán , Raffaella Bernardi , Maciej Malicki , Jakub Szymanik

Thanks to the availability of large scale digital datasets and massive amounts of computational power, deep learning algorithms can learn representations of data by exploiting multiple levels of abstraction. These machine learning methods…

Disordered Systems and Neural Networks · Physics 2018-10-01 Alberto Testolin , Michele Piccolini , Samir Suweis