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Linear Time Invariant (LTI) systems are ubiquitous in control applications. Unbounded-time reachability analysis that can cope with industrial-scale models with thousands of variables is needed. To tackle this problem, we use abstract…

Systems and Control · Computer Science 2017-08-24 Dario Cattaruzza , Alessandro Abate , Peter Schrammel , Daniel Kroening

Abstract Interpretation approximates the semantics of a program by mimicking its concrete fixpoint computation on an abstract domain $\mathbb{A}$. The abstract (post-) fixpoint computation is classically divided into two phases: the…

Programming Languages · Computer Science 2022-06-23 Vincenzo Arceri , Isabella Mastroeni , Enea Zaffanella

Commutativity of program code (i.e. the equivalence of two code fragments composed in alternate orders) is of ongoing interest in many settings such as program verification, scalable concurrency, and security analysis. While some have…

Programming Languages · Computer Science 2024-11-27 Jared Pincus , Eric Koskinen

In abstract interpretation-based static analysis, approximation is encoded by abstract domains. They provide systematic guidelines for designing abstract semantic functions that approximate some concrete system behaviors under analysis. It…

Programming Languages · Computer Science 2013-04-22 Roberto Giacobazzi , Francesco Ranzato

Static analysis by abstract interpretation aims at automatically proving properties of computer programs. To do this, an over-approximation of program semantics, defined as the least fixpoint of a system of semantic equations, must be…

Programming Languages · Computer Science 2013-05-02 Olivier Bouissou , Yassamine Seladji , Alexandre Chapoutot

This paper describes a new abstract interpretation-based approach to verify temporal safety properties of recursive, higher-order programs. While prior works have provided theoretical impact and some automation, they have had limited…

Programming Languages · Computer Science 2025-09-03 Mihai Nicola , Chaitanya Agarwal , Eric Koskinen , Thomas Wies

We present lightweight and generic symbolic methods to improve the precison of numerical static analyses based on Abstract Interpretation. The main idea is to simplify numerical expressions before they are fed to abstract transfer…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

In programming languages with dynamic use of memory, such as Java, knowing that a reference variable x points to an acyclic data structure is valuable for the analysis of termination and resource usage (e.g., execution time or memory…

Programming Languages · Computer Science 2013-02-14 Samir Genaim , Damiano Zanardini

Analyzing the behavior of a program running on a processor that supports speculative execution is crucial for applications such as execution time estimation and side channel detection. Unfortunately, existing static analysis techniques…

Programming Languages · Computer Science 2019-08-16 Meng Wu , Chao Wang

We propose a memory abstraction able to lift existing numerical static analyses to C programs containing union types, pointer casts, and arbitrary pointer arithmetics. Our framework is that of a combined points-to and data-value analysis.…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

Binary code analysis has immense importance in the research domain of software security. Today, software is very often compiled for various Instruction Set Architectures (ISAs). As a result, cross-architecture binary code analysis has…

Software Engineering · Computer Science 2024-05-01 Iftakhar Ahmad , Lannan Luo

To put static program analysis at the fingertips of the software developer, we propose a framework for interactive abstract interpretation. While providing sound analysis results, abstract interpretation in general can be quite costly. To…

Programming Languages · Computer Science 2022-11-28 Julian Erhard , Simmo Saan , Sarah Tilscher , Michael Schwarz , Karoliine Holter , Vesal Vojdani , Helmut Seidl

Binary-level pointer analysis can be of use in symbolic execution, testing, verification, and decompilation of software binaries. In various such contexts, it is crucial that the result is trustworthy, i.e., it can be formally established…

Software Engineering · Computer Science 2025-01-30 Freek Verbeek , Ali Shokri , Daniel Engel , Binoy Ravindran

We propose a constraint-based flow-sensitive static analysis for concurrent programs by iteratively composing thread-modular abstract interpreters via the use of a system of lightweight constraints. Our method is compositional in that it…

Programming Languages · Computer Science 2017-10-02 Markus Kusano , Chao Wang

In this paper, we propose an incremental abstraction method for dynamically over-approximating nonlinear systems in a bounded domain by solving a sequence of linear programs, resulting in a sequence of affine upper and lower hyperplanes…

Optimization and Control · Mathematics 2020-04-06 Syed M. Hassaan , Mohammad Khajenejad , Spencer Jensen , Qiang Shen , Sze Zheng Yong

Binary code similarity detection is a core task in reverse engineering. It supports malware analysis and vulnerability discovery by identifying semantically similar code in different contexts. Modern methods have progressed from manually…

Artificial Intelligence · Computer Science 2025-09-30 Charles E. Gagnon , Steven H. H. Ding , Philippe Charland , Benjamin C. M. Fung

Value-based static analysis techniques express computed program invariants as logical formula over program variables. Researchers and practitioners use these invariants to aid in software engineering and verification tasks. When selecting…

Logic in Computer Science · Computer Science 2024-04-26 Kenny Ballou , Elena Sherman

A novel adaptive binary decoding algorithm for LDPC codes is proposed, which reduces the decoding complexity while having a comparable or even better performance than corresponding non-adaptive alternatives. In each iteration the variable…

Information Theory · Computer Science 2009-04-24 Ingmar Land , Gottfried Lechner , Lars K. Rasmussen

The present work is devoted to the study of a boundary value problem for second order linear differential equation set on singular cylindrical domain. This problem can be regarded via a natural change of variables as an elliptic abstract…

Functional Analysis · Mathematics 2018-09-10 Belkacem Chaouchi , Marko Kostic

We introduce a new method, combination of random testing and abstract interpretation, for the analysis of programs featuring both probabilistic and non-probabilistic nondeterminism. After introducing "ordinary" testing, we show how to…

Programming Languages · Computer Science 2007-05-23 David Monniaux