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A major challenge in inductive logic programming (ILP) is learning large programs. We argue that a key limitation of existing systems is that they use entailment to guide the hypothesis search. This approach is limited because entailment is…

Artificial Intelligence · Computer Science 2020-04-23 Andrew Cropper , Sebastijan Dumančić

Synthesizing user-intended programs from a small number of input-output examples is a challenging problem with several important applications like spreadsheet manipulation, data wrangling and code refactoring. Existing synthesis systems…

Artificial Intelligence · Computer Science 2018-09-17 Ashwin Kalyan , Abhishek Mohta , Oleksandr Polozov , Dhruv Batra , Prateek Jain , Sumit Gulwani

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

Solving Inductive Logic Programming (ILP) problems with neural networks is a key challenge in Neural-Symbolic Ar- tificial Intelligence (AI). While most research has focused on designing novel network architectures for individual prob-…

Artificial Intelligence · Computer Science 2025-11-18 Bowen He , Xiaoan Xu , Alper Kamil Bozkurt , Vahid Tarokh , Juncheng Dong

Analogical reasoning is a hallmark of human intelligence, enabling us to solve new problems by transferring knowledge from one situation to another. Yet, developing artificial intelligence systems capable of robust human-like analogical…

Machine Learning · Computer Science 2026-04-09 Philipp Hellwig , Willem Zuidema , Claire E. Stevenson , Martha Lewis

Learning neural program embeddings is key to utilizing deep neural networks in program languages research --- precise and efficient program representations enable the application of deep models to a wide range of program analysis tasks.…

Software Engineering · Computer Science 2019-07-12 Ke Wang , Zhendong Su

Program synthesis is a class of regression problems where one seeks a solution, in the form of a source-code program, mapping the inputs to their corresponding outputs exactly. Due to its precise and combinatorial nature, program synthesis…

Artificial Intelligence · Computer Science 2018-06-08 Yewen Pu , Zachery Miranda , Armando Solar-Lezama , Leslie Pack Kaelbling

Solving puzzles in natural language poses a long-standing challenge in AI. While large language models (LLMs) have recently shown impressive capabilities in a variety of tasks, they continue to struggle with complex puzzles that demand…

Artificial Intelligence · Computer Science 2025-05-23 Naiqi Li , Peiyuan Liu , Zheng Liu , Tao Dai , Yong Jiang , Shu-Tao Xia

In recent years, deep learning has made tremendous progress in a number of fields that were previously out of reach for artificial intelligence. The successes in these problems has led researchers to consider the possibilities for…

Artificial Intelligence · Computer Science 2018-02-08 Neel Kant

Answer set programming is a prominent declarative programming paradigm used in formulating combinatorial search problems and implementing different knowledge representation formalisms. Frequently, several related and yet substantially…

Artificial Intelligence · Computer Science 2023-03-01 Yuliya Lierler

Provably correct software is one of the key challenges of our software-driven society. Program synthesis -- the task of constructing a program satisfying a given specification -- is one strategy for achieving this. The result of this task…

Logic in Computer Science · Computer Science 2022-06-24 Andreas Humenberger , Daneshvar Amrollahi , Nikolaj Bjørner , Laura Kovács

Our goal is to build systems which write code automatically from the kinds of specifications humans can most easily provide, such as examples and natural language instruction. The key idea of this work is that a flexible combination of…

Artificial Intelligence · Computer Science 2019-06-06 Maxwell Nye , Luke Hewitt , Joshua Tenenbaum , Armando Solar-Lezama

Graph-structured combinatorial challenges are inherently difficult due to their nonlinear and intricate nature, often rendering traditional computational methods ineffective or expensive. However, these challenges can be more naturally…

Artificial Intelligence · Computer Science 2025-01-22 Jie Zhao , Kang Hao Cheong , Witold Pedrycz

Intelligent coding systems are transforming software development by enabling users to specify code behavior in natural language. However, the opaque decision-making of AI-driven coders raises trust and usability concerns, particularly for…

Software Engineering · Computer Science 2025-08-11 Xiangzhe Xu , Shiwei Feng , Zian Su , Chengpeng Wang , Xiangyu Zhang

The analysis of infeasible subproblems plays an import role in solving mixed integer programs (MIPs) and is implemented in most major MIP solvers. There are two fundamentally different concepts to generate valid global constraints from…

Optimization and Control · Mathematics 2016-11-24 Jakob Witzig , Timo Berthold , Stefan Heinz

This work introduces (1) a technique that allows large language models (LLMs) to leverage user-provided code when solving programming tasks and (2) a method to iteratively generate modular sub-functions that can aid future code generation…

Machine Learning · Computer Science 2023-12-05 Patrick Hajali , Ignas Budvytis

The problem of learning logical rules from examples arises in diverse fields, including program synthesis, logic programming, and machine learning. Existing approaches either involve solving computationally difficult combinatorial problems,…

Artificial Intelligence · Computer Science 2019-06-26 Xujie Si , Mukund Raghothaman , Kihong Heo , Mayur Naik

We present an approach to automatically synthesise recursive predicates in Separation Logic (SL) from concrete data structure instances using Inductive Logic Programming (ILP) techniques. The main challenges to make such synthesis effective…

Programming Languages · Computer Science 2025-02-21 Ziyi Yang , Ilya Sergey

Mathematical programming is widely employed across various sectors - such as logistics, energy, and workforce planning - to model and solve industrial optimisation problems, but its use requires substantial domain expertise. Large language…

Programming Languages · Computer Science 2026-05-29 Roberto Rossi , Steven D. Prestwich

Uncertain information is being taken into account in an increasing number of application fields. In the meantime, abduction has been proved a powerful tool for handling hypothetical reasoning and incomplete knowledge. Probabilistic logical…

Artificial Intelligence · Computer Science 2022-02-04 Elena Bellodi , Marco Gavanelli , Riccardo Zese , Evelina Lamma , Fabrizio Riguzzi