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We introduce a novel approach to the automated termination analysis of computer programs: we use neural networks to represent ranking functions. Ranking functions map program states to values that are bounded from below and decrease as a…

Machine Learning · Computer Science 2022-09-07 Mirco Giacobbe , Daniel Kroening , Julian Parsert

This Survey provides an overview of techniques in termination analysis for programs with numerical variables and transitions defined by linear constraints. This subarea of program analysis is challenging due to the existence of undecidable…

Programming Languages · Computer Science 2026-01-27 Amir M. Ben-Amram , Samir Genaim , Joël Ouaknine , James Worrell

Proving program termination is typically done by finding a well-founded ranking function for the program states. Existing termination provers typically find ranking functions using either linear algebra or templates. As such they are often…

Logic in Computer Science · Computer Science 2014-10-21 Cristina David , Daniel Kroening , Matt Lewis

Program logics typically reason about an over-approximation of program behaviour to prove the absence of bugs. Recently, program logics have been proposed that instead prove the presence of bugs by means of under-approximate reasoning,…

Logic in Computer Science · Computer Science 2022-03-15 Christopher M. Poskitt

Determining whether a given program terminates is the quintessential undecidable problem. Algorithms for termination analysis are divided into two groups: (1) algorithms with strong behavioral guarantees that work in limited circumstances…

Programming Languages · Computer Science 2021-09-16 Shaowei Zhu , Zachary Kincaid

GP 2 is a non-deterministic programming language for computing by graph transformation. One of the design goals for GP 2 is syntactic and semantic simplicity, to facilitate formal reasoning about programs. In this paper, we demonstrate with…

Programming Languages · Computer Science 2016-09-14 Detlef Plump

Numerical software are widely used in safety-critical systems such as aircrafts, satellites, car engines and so on, facilitating dynamics control of such systems in real time, it is therefore absolutely necessary to verify their…

Optimization and Control · Mathematics 2018-10-30 Bai Xue , Naijun Zhan , Yangjia Li , Qiuye Wang

The online programing services, such as Github,TopCoder, and EduCoder, have promoted a lot of social interactions among the service users. However, the existing social interactions is rather limited and inefficient due to the rapid…

Artificial Intelligence · Computer Science 2019-03-12 Mingming Lu , Dingwu Tan , Naixue Xiong , Zailiang Chen , Haifeng Li

Static analysis is one of the most widely adopted techniques to find software bugs before code is put in production. Designing and implementing effective and efficient static analyses is difficult and requires high expertise, which results…

Software Engineering · Computer Science 2019-06-04 Andrew Habib , Michael Pradel

Determining whether a program terminates is a core challenge in program analysis with direct implications for correctness, verification, and security. We investigate whether transformer architectures can recognise termination patterns…

Programming Languages · Computer Science 2026-04-02 Yoav Alon , Cristina David

Production software oftentimes suffers from the issue of performance inefficiencies caused by inappropriate use of data structures, programming abstractions, and conservative compiler optimizations. It is desirable to avoid unnecessary…

Machine Learning · Computer Science 2020-11-20 Yixin Guo , Pengcheng Li , Yingwei Luo , Xiaolin Wang , Zhenlin Wang

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

It is widely acknowledged that function symbols are an important feature in answer set programming, as they make modeling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their…

Artificial Intelligence · Computer Science 2020-02-19 Marco Calautti , Sergio Greco , Cristian Molinaro , Irina Trubitsyna

Automated program analysis is a pivotal research domain in many areas of Computer Science -- Formal Methods and Artificial Intelligence, in particular. Due to the undecidability of the problem of program equivalence, comparing two programs…

Software Engineering · Computer Science 2023-08-01 Pedro Orvalho , Jelle Piepenbrock , Mikoláš Janota , Vasco Manquinho

We present necessary and sufficient conditions for the termination of linear homogeneous programs. We also develop a complete method to check termination for this class of programs. Our complete characterization of termination for such…

Programming Languages · Computer Science 2014-09-11 Rachid Rebiha , Arnaldo Vieira Moura , Nadir Matringe

We present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the integers. We present a technique that allows to overcome these…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Graph neural networks (GNNs) have emerged as a powerful tool for learning software engineering tasks including code completion, bug finding, and program repair. They benefit from leveraging program structure like control flow graphs, but…

Machine Learning · Computer Science 2020-10-27 David Bieber , Charles Sutton , Hugo Larochelle , Daniel Tarlow

This study explores the effectiveness of graph neural networks (GNNs) for vulnerability detection in software code, utilizing a real-world dataset of Java vulnerability-fixing commits. The dataset's structure, based on the number of…

Cryptography and Security · Computer Science 2024-06-19 Ravil Mussabayev

Graph neural networks trained to predict observable dynamics can be used to decompose the temporal activity of complex heterogeneous systems into simple, interpretable representations. Here we apply this framework to simulated neural…

Neurons and Cognition · Quantitative Biology 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

Proving programs terminating is a fundamental computer science challenge. Recent research has produced powerful tools that can check a wide range of programs for termination. The analog for probabilistic programs, namely termination with…

Logic in Computer Science · Computer Science 2012-04-16 Javier Esparza , Andreas Gaiser , Stefan Kiefer
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