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Invariant causal prediction provides a useful framework for identifying causal predictors of a response using heterogeneous data from multiple environments. One valuable property of the original invariant causal prediction method is that it…

Methodology · Statistics 2026-05-21 Jinzhou Li , Jelle J Goeman

We consider the problem of computing numerical invariants of programs, for instance bounds on the values of numerical program variables. More specifically, we study the problem of performing static analysis by abstract interpretation using…

Programming Languages · Computer Science 2015-07-01 Thomas Martin Gawlitza , David Monniaux

Unit testing verifies the presence of faults in individual software components. Previous research has been targeting the automatic generation of unit tests through the adoption of random or search-based algorithms. Despite their…

Software Engineering · Computer Science 2022-04-13 Fabiano Pecorelli , Giovanni Grano , Fabio Palomba , Harald C. Gall , Andrea De Lucia

We introduce Bug-Injector, a system that automatically creates benchmarks for customized evaluation of static analysis tools. We share a benchmark generated using Bug-Injector and illustrate its efficacy by using it to evaluate the recall…

Software Engineering · Computer Science 2019-09-10 Vineeth Kashyap , Jason Ruchti , Lucja Kot , Emma Turetsky , Rebecca Swords , Shih An Pan , Julien Henry , David Melski , Eric Schulte

Most automatic program repair techniques rely on test cases to specify correct program behavior. Due to test cases' frequently incomplete coverage of desired behavior, however, patches often overfit and fail to generalize to broader…

Software Engineering · Computer Science 2020-03-27 Zhen Yu Ding

Loop invariants are fundamental to reasoning about programs with loops. They establish properties about a given loop's behavior. When they additionally are inductive, they become useful for the task of formal verification that seeks to…

Identifying the direct causes or causal parents of a target variable is crucial for scientific discovery. Focusing on linear models, the invariant prediction framework was built upon the invariance principle, namely, the conditional…

Methodology · Statistics 2023-07-19 Kang Du , Yu Xiang , Ilya Soloveychik

Genetic Programming (GP) is a computationally intensive technique which also has a high degree of natural parallelism. Parallel computing architectures have become commonplace especially with regards Graphics Processing Units (GPU). Hence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-05 Darren M. Chitty

The size and complexity of software applications is increasing at an accelerating pace. Source code repositories (along with their dependencies) require vast amounts of labor to keep them tested, maintained, and up to date. As the…

Software Engineering · Computer Science 2024-06-14 Ivan R. Ivanov , Joachim Meyer , Aiden Grossman , William S. Moses , Johannes Doerfert

We describe the LoopInvGen tool for generating loop invariants that can provably guarantee correctness of a program with respect to a given specification. LoopInvGen is an efficient implementation of the inference technique originally…

Programming Languages · Computer Science 2019-11-01 Saswat Padhi , Rahul Sharma , Todd Millstein

A common technique for verifying the safety of complex systems is the inductive invariant method. Inductive invariants are inductive formulas that overapproximate the reachable states of a system and imply a desired safety property.…

Logic in Computer Science · Computer Science 2025-09-09 Ian Dardik , Eunsuk Kang

Volatility is a key variable in option pricing, trading and hedging strategies. The purpose of this paper is to improve the accuracy of forecasting implied volatility using an extension of genetic programming (GP) by means of dynamic…

General Finance · Quantitative Finance 2020-07-15 Sana Ben Hamida , Wafa Abdelmalek , Fathi Abid

We propose a data-driven algorithm for numerical invariant synthesis and verification. The algorithm is based on the ICE-DT schema for learning decision trees from samples of positive and negative states and implications corresponding to…

Programming Languages · Computer Science 2022-07-11 Ahmed Bouajjani , Wael-Amine Boutglay , Peter Habermehl

Program synthesis aims to {\it automatically} find programs from an underlying programming language that satisfy a given specification. While this has the potential to revolutionize computing, how to search over the vast space of programs…

Neural and Evolutionary Computing · Computer Science 2022-03-01 Yuan Yuan , Wolfgang Banzhaf

Large language models have become increasingly effective in software engineering tasks such as code generation, debugging and repair. Language models like ChatGPT can not only generate code, but also explain its inner workings and in…

Software Engineering · Computer Science 2025-10-15 Christian Janßen , Cedric Richter , Heike Wehrheim

Neural networks are increasingly applied to support decision making in safety-critical applications (like autonomous cars, unmanned aerial vehicles and face recognition based authentication). While many impressive static verification…

Machine Learning · Computer Science 2021-05-07 Guoliang Dong , Jun Sun , Jingyi Wang , Xinyu Wang , Ting Dai

This paper describes a formal general-purpose automated program repair (APR) framework based on the concept of program invariants. In the presented repair framework, the execution traces of a defected program are dynamically analyzed to…

Software Engineering · Computer Science 2024-01-30 Omar I. Al-Bataineh

Software vulnerabilities continue to undermine the reliability and security of modern systems, particularly as software complexity outpaces the capabilities of traditional detection methods. This study introduces a genetic algorithm-based…

Software Engineering · Computer Science 2025-08-11 Yanusha Mehendran , Maolin Tang , Yi Lu

Bounded model checking (BMC) is a well-known and successful technique for finding bugs in software. k-induction is an approach to extend BMC-based approaches from falsification to verification. Automatically generated auxiliary invariants…

Software Engineering · Computer Science 2015-02-03 Dirk Beyer , Matthias Dangl , Philipp Wendler

Interrupts have been widely used in safety-critical computer systems to handle outside stimuli and interact with the hardware, but reasoning about interrupt-driven software remains a difficult task. Although a number of static verification…

Programming Languages · Computer Science 2017-09-29 Chungha Sung , Markus Kusano , Chao Wang