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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

Variable sharing is a fundamental property in the static analysis of logic programs, since it is instrumental for ensuring correctness and increasing precision while inferring many useful program properties. Such properties include modes,…

Programming Languages · Computer Science 2025-01-22 Daniel Jurjo-Rivas , Jose F. Morales , Pedro López-García , Manuel V. Hermenegildo

When an evolving program is modified to address issues related to thread synchronization, there is a need to confirm the change is correct, i.e., it does not introduce unexpected behavior. However, manually comparing two programs to…

Software Engineering · Computer Science 2018-07-17 Chungha Sung , Shuvendu Lahiri , Constantin Enea , Chao Wang

The inference and the verification of numerical relationships among variables of a program is one of the main goals of static analysis. In this paper, we propose an Abstract Interpretation framework based on higher-dimensional ellipsoids to…

Systems and Control · Computer Science 2015-09-30 Mendes Oulamara , Arnaud Venet

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

Abstract interpretation is a well-established technique for performing static analyses of logic programs. However, choosing the abstract domain, widening, fixpoint, etc. that provides the best precision-cost trade-off remains an open…

Programming Languages · Computer Science 2019-08-01 Ignacio Casso , Jose F. Morales , Pedro Lopez-Garcia , Manuel V. Hermenegildo

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

The problem of checking whether two programs are semantically equivalent or not has a diverse range of applications, and is consequently of substantial importance. There are several techniques that address this problem, chiefly by…

Software Engineering · Computer Science 2021-09-07 Manish Goyal , Muqsit Azeem , Kumar Madhukar , R. Venkatesh

Interval arithmetic is a simple way to compute a mathematical expression to an arbitrary accuracy, widely used for verifying floating-point computations. Yet this simplicity belies challenges. Some inputs violate preconditions or cause…

Numerical Analysis · Mathematics 2021-07-14 Oliver Flatt , Pavel Panchekha

In this paper we show that reversible analysis of logic languages by abstract interpretation can be performed without loss of precision by systematically refining abstract domains. The idea is to include semantic structures into abstract…

Programming Languages · Computer Science 2007-05-23 R. Giacobazzi , F. Ranzato , F. Scozzari

We consider the problem of computing numerical invariants of programs by abstract interpretation. Our method eschews two traditional sources of imprecision: (i) the use of widening operators for enforcing convergence within a finite number…

Programming Languages · Computer Science 2015-05-27 Thomas Martin Gawlitza , David Monniaux

We present abstract acceleration techniques for computing loop invariants for numerical programs with linear assignments and conditionals. Whereas abstract interpretation techniques typically over-approximate the set of reachable states…

Programming Languages · Computer Science 2014-01-07 Bertrand Jeannet , Peter Schrammel , Sriram Sankaranarayanan

The success of software model checking depends on finding an appropriate abstraction of the subject program. The choice of the abstract domain and the analysis configuration is currently left to the user, who may not be familiar with the…

Software Engineering · Computer Science 2013-05-30 Sven Apel , Dirk Beyer , Karlheinz Friedberger , Franco Raimondi , Alexander von Rhein

Context: Software metrics, as one form of static analyses, is a commonly used approach in software engineering in order to understand the state of a software system, in particular to identify potential areas prone to defects. Family-based…

Software Engineering · Computer Science 2021-10-13 Sascha El-Sharkawy , Adam Krafczyk , Klaus Schmid

Transferring learned patterns from pretrained neural language models has been shown to significantly improve effectiveness across a variety of language-based tasks, meanwhile further tuning on intermediate tasks has been demonstrated to…

Computation and Language · Computer Science 2023-03-01 Alexander Pugantsov , Richard McCreadie

Abstraction is a key verification technique to improve scalability. However, its use for neural networks is so far extremely limited. Previous approaches for abstracting classification networks replace several neurons with one of them that…

Logic in Computer Science · Computer Science 2023-07-21 Calvin Chau , Jan Křetínský , Stefanie Mohr

Static program analysis is a valuable tool for any programming language that people write programs in. The prevalence of scripting languages in the world suggests programming language interpreters are relatively easy to write. Users of…

Programming Languages · Computer Science 2015-05-01 James Ian Johnson

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2008-11-04 David Monniaux

Context: Having domain models derived from textual specifications has proven to be very useful in the early phases of software engineering. However, creating correct domain models and establishing clear links with the textual specification…

Software Engineering · Computer Science 2026-03-09 Shwetali Shimangaud , Lola Burgueño , Rijul Saini , Jörg Kienzle

Decidability and synthesis of inductive invariants ranging in a given domain play an important role in many software and hardware verification systems. We consider here inductive invariants belonging to an abstract domain $A$ as defined in…

Programming Languages · Computer Science 2020-07-14 Francesco Ranzato
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