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Inductive Logic Programming (ILP) approaches like Meta \-/ Interpretive Learning (MIL) can learn, from few examples, recursive logic programs with invented predicates that generalise well to unseen instances. This ability relies on a…

Artificial Intelligence · Computer Science 2026-03-05 Stassa Patsantzis

Large language models make remarkable progress in reasoning capabilities. Existing works focus mainly on deductive reasoning tasks (e.g., code and math), while another type of reasoning mode that better aligns with human learning, inductive…

Computation and Language · Computer Science 2025-03-18 Kedi Chen , Zhikai Lei , Fan Zhang , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Qipeng Guo , Kai Chen , Wei Zhang

To address the instability of unguided reasoning paths in standard Chain-of-Thought prompting, recent methods guide large language models (LLMs) by first eliciting a single reasoning strategy. However, relying on just one strategy for each…

Computation and Language · Computer Science 2026-05-21 Po-Chun Chen , Hen-Hsen Huang , Hsin-Hsi Chen

Large language models (LLMs) demonstrate strong reasoning abilities in solving complex real-world problems. Yet, the internal mechanisms driving these complex reasoning behaviors remain opaque. Existing interpretability approaches targeting…

Artificial Intelligence · Computer Science 2026-02-04 Changming Li , Kaixing Zhang , Haoyun Xu , Yingdong Shi , Zheng Zhang , Kaitao Song , Kan Ren

Against the backdrop of enthusiasm for large language models (LLMs), there is a growing need to scientifically assess their capabilities and shortcomings. This is nontrivial in part because it is difficult to find tasks which the models…

Large Language Models (LLMs) have shown strong performance across a wide range of natural language processing tasks; however, their effectiveness is highly dependent on prompt design, structure, and embedded reasoning signals. Conventional…

Machine Learning · Computer Science 2026-04-07 Shiek Ruksana , Sailesh Kiran Kurra , Thipparthi Sanjay Baradwaj

Many structured prediction and reasoning tasks can be framed as program synthesis problems, where the goal is to generate a program in a domain-specific language (DSL) that transforms input data into the desired output. Unfortunately,…

Programming Languages · Computer Science 2024-11-04 Shraddha Barke , Emmanuel Anaya Gonzalez , Saketh Ram Kasibatla , Taylor Berg-Kirkpatrick , Nadia Polikarpova

Vision-Language models (VLMs) achieve strong performance on multimodal tasks but often fail at systematic visual reasoning tasks, leading to inconsistent or illogical outputs. Neuro-symbolic methods promise to address this by inducing…

Artificial Intelligence · Computer Science 2025-11-25 Antonia Wüst , Wolfgang Stammer , Hikaru Shindo , Lukas Helff , Devendra Singh Dhami , Kristian Kersting

Large language models (LLMs) have revolutionized many areas (e.g. natural language processing, software engineering, etc.) by achieving state-of-the-art performance on extensive downstream tasks. Aiming to achieve robust and general…

Artificial Intelligence · Computer Science 2024-01-18 Zhiming Li , Yushi Cao , Xiufeng Xu , Junzhe Jiang , Xu Liu , Yon Shin Teo , Shang-wei Lin , Yang Liu

The computational burden of probabilistic inference remains a hurdle for applying probabilistic programming languages to practical problems of interest. In this work, we provide a semantic and algorithmic foundation for efficient exact…

Programming Languages · Computer Science 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

Large Language Models (LLMs) have demonstrated impressive capabilities in reasoning tasks, yet their reliance on static prompt structures and limited adaptability to complex scenarios remains a significant challenge. In this paper, we…

Artificial Intelligence · Computer Science 2025-07-09 Chengkun Cai , Xu Zhao , Haoliang Liu , Zhongyu Jiang , Tianfang Zhang , Zongkai Wu , Jenq-Neng Hwang , Lei Li

Large Language Models (LLMs), particularly smaller variants, still struggle with complex reasoning tasks. While inference-time prompting can guide reasoning, existing methods often rely on sequential queries. Ensemble approaches offer a…

Computation and Language · Computer Science 2025-10-28 Gregory Kang Ruey Lau , Wenyang Hu , Diwen Liu , Jizhuo Chen , See-Kiong Ng , Bryan Kian Hsiang Low

We study machine learning formulations of inductive program synthesis; that is, given input-output examples, synthesize source code that maps inputs to corresponding outputs. Our key contribution is TerpreT, a domain-specific language for…

Machine Learning · Computer Science 2016-12-05 Alexander L. Gaunt , Marc Brockschmidt , Rishabh Singh , Nate Kushman , Pushmeet Kohli , Jonathan Taylor , Daniel Tarlow

In-context learning (ICL) is a few-shot learning paradigm that involves learning mappings through input-output pairs and appropriately applying them to new instances. Despite the remarkable ICL capabilities demonstrated by Large Language…

Computation and Language · Computer Science 2024-08-06 Peng Wang , Xiaobin Wang , Chao Lou , Shengyu Mao , Pengjun Xie , Yong Jiang

Large language models have been proven to be capable of handling complex linguistic and cognitive tasks. Therefore their usage has been extended to tasks requiring logical reasoning ability such as Mathematics. In this paper, we propose a…

Computation and Language · Computer Science 2024-05-24 Saksham Sahai Srivastava , Ashutosh Gandhi

The ability to generalise from a small number of examples is a fundamental challenge in machine learning. To tackle this challenge, we introduce an inductive logic programming (ILP) approach that combines negation and predicate invention.…

Artificial Intelligence · Computer Science 2025-06-23 David M. Cerna , Andrew Cropper

Combining machine learning with logic-based expert systems in order to get the best of both worlds are becoming increasingly popular. However, to what extent machine learning can already learn to reason over rule-based knowledge is still an…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Nuri Cingillioglu , Alessandra Russo

Rule learning-based models are widely used in highly interpretable scenarios due to their transparent structures. Inductive logic programming (ILP), a form of machine learning, induces rules from facts while maintaining interpretability.…

Artificial Intelligence · Computer Science 2026-02-17 Kun Gao , Katsumi Inoue , Yongzhi Cao , Hanpin Wang , Feng Yang

Common criticisms of state-of-the-art machine learning include poor generalisation, a lack of interpretability, and a need for large amounts of training data. We survey recent work in inductive logic programming (ILP), a form of machine…

Artificial Intelligence · Computer Science 2020-04-23 Andrew Cropper , Sebastijan Dumančić , Stephen H. Muggleton

Prompt learning is an effective way to exploit the potential of large-scale pre-trained foundational models. Continuous prompts parameterize context tokens in prompts by turning them into differentiable vectors. Deep continuous prompts…

Machine Learning · Computer Science 2025-01-03 Zhenhan Huang , Tejaswini Pedapati , Pin-Yu Chen , Jianxi Gao