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Abstract interpretation is a method to automatically find invariants of programs or pieces of code whose semantics is given via least fixed-points. Up-to techniques have been introduced as enhancements of coinduction, an abstract principle…

Logic in Computer Science · Computer Science 2018-05-03 Filippo Bonchi , Pierre Ganty , Roberto Giacobazzi , Dusko Pavlovic

Static analyses overwhelmingly trade precision for soundness and automation. For this reason, their use-cases are restricted to situations where imprecision isn't prohibitive. In this paper, we propose and specify a static analysis that…

Programming Languages · Computer Science 2026-02-10 Abdullah H. Rasheed

The notion of stability in a structured argumentation setup characterizes situations where the acceptance status associated with a given literal will not be impacted by any future evolution of this setup. In this paper, we abstract away…

Artificial Intelligence · Computer Science 2020-12-24 Jean-Guy Mailly , Julien Rossit

We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no false alarms. This is achieved by refinement…

Programming Languages · Computer Science 2016-08-14 Bruno Blanchet , Patrick Cousot , Radhia Cousot , Jerôme Feret , Laurent Mauborgne , Antoine Miné , David Monniaux , Xavier Rival

Approximations during program analysis are a necessary evil, as they ensure essential properties, such as soundness and termination of the analysis, but they also imply not always producing useful results. Automatic techniques have been…

Programming Languages · Computer Science 2018-12-18 Isabel Garcia-Contreras , Jose F. Morales , Manuel V. Hermenegildo

Completeness is a desirable property of test suites. Roughly, completeness guarantees that a non-equivalent implementation under test will always be identified. Several approaches proposed sufficient, and sometimes also necessary,…

Software Engineering · Computer Science 2015-08-13 Adilson Luiz Bonifacio , Arnaldo Vieira Moura

Although in most cases class initialization works as expected, some static fields may be read before being initialized, despite being initialized in their corresponding class initializer. We propose an analysis which compute, for each…

Programming Languages · Computer Science 2010-07-21 Laurent Hubert , David Pichardie

We consider the problem of making expressive static analyzers interactive. Formal static analysis is seeing increasingly widespread adoption as a tool for verification and bug-finding, but even with powerful cloud infrastructure it can take…

Programming Languages · Computer Science 2021-04-08 Benno Stein , Bor-Yuh Evan Chang , Manu Sridharan

interpretation is a general methodology for building static analyses of programs. It was introduced by P. and R. Cousot in \cite{cc}. We present, in this paper, an application of a generic abstract interpretation to domain of…

Data Structures and Algorithms · Computer Science 2009-02-12 Kaninda Musumbu

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

Knowledge is only good if it is sound, consistent and complete. The same holds true for conceptual knowledge, which holds knowledge about concepts and its association. Conceptual knowledge no matter what format they are represented in, must…

Artificial Intelligence · Computer Science 2014-12-22 Gowri Shankar Ramaswamy , F Sagayaraj Francis

We explore denotational interpreters: denotational semantics that produce coinductive traces of a corresponding small-step operational semantics. By parameterising our denotational interpreter over the semantic domain and then varying it,…

Programming Languages · Computer Science 2024-07-15 Sebastian Graf , Simon Peyton Jones , Sven Keidel

Static analysis is an essential component of many modern software development tools. Unfortunately, the ever-increasing complexity of static analyzers makes their coding error-prone. Even analysis tools based on rigorous mathematical…

Software Engineering · Computer Science 2025-05-08 Daniela Ferreiro , Ignacio Casso , Jose F. Morales , Pedro López-García , Manuel V. Hermenegildo

In this paper, our aim is to propose a model for code abstraction, based on abstract interpretation, allowing us to improve the precision of a recently proposed static analysis by abstract interpretation of dynamic languages. The problem we…

Software Engineering · Computer Science 2021-09-08 Isabella Mastroeni , Vincenzo Arceri

This article shows a correspondence between abstract interpretation of imperative programs and the refinement calculus: in the refinement calculus, an abstract interpretation of a program is a specification which is a function. This…

Programming Languages · Computer Science 2014-06-16 Arnaud Spiwack

In this paper, we focus on discrete-time stochastic systems modelled by nonlinear stochastic difference equations and propose robust abstractions for verifying probabilistic linear temporal specifications. The current literature focuses on…

Probability · Mathematics 2022-05-05 Yiming Meng , Jun Liu

Static program analysis by abstract interpretation is an efficient method to determine properties of embedded software. One example is value analysis, which determines the values stored in the processor registers. Its results are used as…

Logic in Computer Science · Computer Science 2011-11-09 Reinhold Heckmann , Christian Ferdinand

Static cache analysis characterizes a program's cache behavior by determining in a sound but approximate manner which memory accesses result in cache hits and which result in cache misses. Such information is valuable in optimizing…

Programming Languages · Computer Science 2021-08-23 Valentin Touzeau , Claire Maïza , David Monniaux , Jan Reineke

Data leakage is a well-known problem in machine learning. Data leakage occurs when information from outside the training dataset is used to create a model. This phenomenon renders a model excessively optimistic or even useless in the real…

Programming Languages · Computer Science 2024-08-07 Filip Drobnjaković , Pavle Subotić , Caterina Urban

The compactness theorem for a logic states, roughly, that the satisfiability of a set of well-formed formulas can be determined from the satisfiability of its finite subsets, and vice versa. Usually, proofs of this theorem depend on the…

Logic · Mathematics 2025-07-04 Sayantan Roy , Sankha S. Basu , Mihir K. Chakraborty
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