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As large language models (LLMs) are increasing integrated into fact-checking pipelines, formal logic is often proposed as a rigorous means by which to mitigate bias, errors and hallucinations in these models' outputs. For example, some…

Computation and Language · Computer Science 2026-04-28 Jason Chan , Robert Gaizauskas , Zhixue Zhao

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

Strong equivalence between knowledge bases ensures the possibility of replacing one with the other without affecting reasoning outcomes, in any given context. This makes it a crucial property in nonmonotonic formalisms. In particular, the…

Artificial Intelligence · Computer Science 2026-05-15 Giovanni Buraglio , Wolfgang Dvorak , Stefan Woltran

In the same sense as classical logic is a formal theory of truth, the recently initiated approach called computability logic is a formal theory of computability. It understands (interactive) computational problems as games played by a…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Logical reasoning is central to human cognition and intelligence. It includes deductive, inductive, and abductive reasoning. Past research of logical reasoning within AI uses formal language as knowledge representation and symbolic…

Computation and Language · Computer Science 2024-02-19 Zonglin Yang , Xinya Du , Rui Mao , Jinjie Ni , Erik Cambria

Open-domain dialogue systems need to grasp social commonsense to understand and respond effectively to human users. Commonsense-augmented dialogue models have been proposed that aim to infer commonsense knowledge from dialogue contexts in…

Computation and Language · Computer Science 2025-01-22 Sarah E. Finch , Jinho D. Choi

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…

Visual reasoning is dominated by end-to-end neural networks scaled to billions of model parameters and training examples. However, even the largest models struggle with compositional reasoning, generalization, fine-grained spatial and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Aleksandar Stanić , Sergi Caelles , Michael Tschannen

Our position is that logic programming is not programming in the Horn clause sublogic of classical logic, but programming in a logic of (inductive) definitions. Thus, the similarity between prototypical Prolog programs (e.g., member,…

Logic in Computer Science · Computer Science 2023-04-27 Marc Denecker , David S. Warren

Neural algorithmic reasoning aims to capture computations with neural networks by training models to imitate the execution of classical algorithms. While common architectures are expressive enough to contain the correct model in the weight…

Machine Learning · Computer Science 2025-08-14 Gleb Rodionov , Liudmila Prokhorenkova

Large language models (LLMs) excel at complex reasoning tasks such as mathematics and coding, yet they frequently struggle with simple interactive tasks that young children perform effortlessly. This discrepancy highlights a critical gap…

Artificial Intelligence · Computer Science 2025-09-01 Yi Liao , Yu Gu , Yuan Sui , Zining Zhu , Yifan Lu , Guohua Tang , Zhongqian Sun , Wei Yang

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

Judgmental forecasting employs human opinions to make predictions about future events, rather than exclusively historical data as in quantitative forecasting. When these opinions form an argumentative structure around forecasts, it is…

Artificial Intelligence · Computer Science 2025-08-26 Deniz Gorur , Antonio Rago , Francesca Toni

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

Chain-of-Thought (CoT) prompting has emerged as a pivotal technique for augmenting the inferential capabilities of language models during reasoning tasks. Despite its advancements, CoT often grapples with challenges in validating reasoning…

Artificial Intelligence · Computer Science 2024-12-09 Hanmeng Liu , Zhiyang Teng , Chaoli Zhang , Yue Zhang

Recent years have witnessed the 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 the…

Machine Learning · Computer Science 2020-08-24 Shaoyun Shi , Hanxiong Chen , Weizhi Ma , Jiaxin Mao , Min Zhang , Yongfeng Zhang

Language models now provide an interface to express and often solve general problems in natural language, yet their ultimate computational capabilities remain a major topic of scientific debate. Unlike a formal computer, a language model is…

Computation and Language · Computer Science 2026-02-11 Alex Lewandowski , Marlos C. Machado , Dale Schuurmans

Program synthesis is the generation of a program from a specification. Correct synthesis is difficult, and methods that provide formal guarantees suffer from scalability issues. On the other hand, neural networks are able to generate…

Logic in Computer Science · Computer Science 2020-01-28 Elizabeth Polgreen , Ralph Abboud , Daniel Kroening

Humans intuitively solve complex problems by flexibly shifting among reasoning modes: they plan, execute, revise intermediate goals, resolve ambiguity through associative judgment, and apply formal procedures to well-specified subproblems.…

Deep learning has become the dominant approach for creating high capacity, scalable models across diverse data modalities. However, because these models rely on a large number of learned parameters, tightly couple feature extraction with…

Artificial Intelligence · Computer Science 2026-05-12 Adam Gould , Francesca Toni