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We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

While large models pre-trained on high-quality data exhibit excellent performance on mathematical reasoning (e.g., GSM8k, MultiArith), it remains challenging to specialize smaller models for these tasks. Common approaches to address this…

Computation and Language · Computer Science 2026-03-19 Neeraj Gangwar , Suma P Bhat , Nickvash Kani

We propose neural-symbolic integration for abstract concept explanation and interactive learning. Neural-symbolic integration and explanation allow users and domain-experts to learn about the data-driven decision making process of large…

Artificial Intelligence · Computer Science 2022-01-19 Benedikt Wagner , Artur d'Avila Garcez

In this paper we take the first steps in studying a new approach to synthesis of efficient communication schemes in multi-agent systems, trained via reinforcement learning. We combine symbolic methods with machine learning, in what is…

Artificial Intelligence · Computer Science 2022-12-29 Erik Jergéus , Leo Karlsson Oinonen , Emil Carlsson , Moa Johansson

Deep learning is increasingly used in decision-making tasks. However, understanding how neural networks produce final predictions remains a fundamental challenge. Existing work on interpreting neural network predictions for images often…

Human-Computer Interaction · Computer Science 2019-09-04 Fred Hohman , Haekyu Park , Caleb Robinson , Duen Horng Chau

The aim of the paper is to examine the computational complexity and algorithmics of enumeration, the task to output all solutions of a given problem, from the point of view of parameterized complexity. First we define formally different…

Computational Complexity · Computer Science 2013-06-11 Nadia Creignou , Arne Meier , Julian-Steffen Müller , Johannes Schmidt , Heribert Vollmer

Despite significant progress in the development of neural-symbolic frameworks, the question of how to integrate a neural and a symbolic system in a \emph{compositional} manner remains open. Our work seeks to fill this gap by treating these…

Artificial Intelligence · Computer Science 2020-10-23 Efthymia Tsamoura , Loizos Michael

Neural program embeddings have shown much promise recently for a variety of program analysis tasks, including program synthesis, program repair, fault localization, etc. However, most existing program embeddings are based on syntactic…

Artificial Intelligence · Computer Science 2018-07-03 Ke Wang , Rishabh Singh , Zhendong Su

Contemporary deep learning models have achieved impressive performance in image classification by primarily leveraging statistical regularities within large datasets, but they rarely incorporate structured insights drawn directly from…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Haobo Yang , Minghao Guo , Dequan Yang , Wenyu Wang

Despite remarkable advances in automated visual recognition by machines, some visual tasks remain challenging for machines. Fleuret et al. (2011) introduced the Synthetic Visual Reasoning Test (SVRT) to highlight this point, which required…

Machine Learning · Computer Science 2019-11-20 Lu Yihe , Scott C. Lowe , Penelope A. Lewis , Mark C. W. van Rossum

Over the last decades, deep neural networks based-models became the dominant paradigm in machine learning. Further, the use of artificial neural networks in symbolic learning has been seen as increasingly relevant recently. To study the…

Machine Learning · Computer Science 2025-06-03 João Flach , Alvaro F. Moreira , Luis C. Lamb

We propose the Neural Logic Machine (NLM), a neural-symbolic architecture for both inductive learning and logic reasoning. NLMs exploit the power of both neural networks---as function approximators, and logic programming---as a symbolic…

Artificial Intelligence · Computer Science 2019-04-29 Honghua Dong , Jiayuan Mao , Tian Lin , Chong Wang , Lihong Li , Denny Zhou

Analogical Reasoning problems challenge both connectionist and symbolic AI systems as these entail a combination of background knowledge, reasoning and pattern recognition. While symbolic systems ingest explicit domain knowledge and perform…

Artificial Intelligence · Computer Science 2022-09-20 Vishwa Shah , Aditya Sharma , Gautam Shroff , Lovekesh Vig , Tirtharaj Dash , Ashwin Srinivasan

In this paper we present a neurosymbolic architecture for coupling language-guided visual reasoning with robot manipulation. A non-expert human user can prompt the robot using unconstrained natural language, providing a referring expression…

Robotics · Computer Science 2025-12-16 Georgios Tziafas , Hamidreza Kasaei

Neural-symbolic methods have demonstrated efficiency in enhancing the reasoning abilities of large language models (LLMs). However, existing methods mainly rely on syntactically mapping natural languages to complete formal languages like…

Computation and Language · Computer Science 2024-06-04 Yiming Wang , Zhuosheng Zhang , Pei Zhang , Baosong Yang , Rui Wang

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

Recent work on recommender systems has considered external knowledge graphs as valuable sources of information, not only to produce better recommendations but also to provide explanations of why the recommended items were chosen. Pure…

Information Retrieval · Computer Science 2020-07-28 Yikun Xian , Zuohui Fu , Qiaoying Huang , S. Muthukrishnan , Yongfeng Zhang

The increasing complexity of computing systems places a tremendous burden on optimizing compilers, requiring ever more accurate and aggressive optimizations. Machine learning offers significant benefits for constructing optimization…

Machine Learning · Computer Science 2020-03-25 Chris Cummins , Zacharias V. Fisches , Tal Ben-Nun , Torsten Hoefler , Hugh Leather

Many computational tasks can be naturally expressed as a composition of a DNN followed by a program written in a traditional programming language or an API call to an LLM. We call such composites "neural programs" and focus on the problem…

Machine Learning · Computer Science 2024-11-01 Alaia Solko-Breslin , Seewon Choi , Ziyang Li , Neelay Velingker , Rajeev Alur , Mayur Naik , Eric Wong

We present a framework for the unsupervised learning of neurosymbolic encoders, which are encoders obtained by composing neural networks with symbolic programs from a domain-specific language. Our framework naturally incorporates symbolic…

Machine Learning · Computer Science 2022-12-22 Eric Zhan , Jennifer J. Sun , Ann Kennedy , Yisong Yue , Swarat Chaudhuri