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We present a sound static analysis technique for fighting the combinatorial explosion of parameterised Boolean equation systems (PBESs). These essentially are systems of mutually recursive fixed point equations ranging over first-order…

Logic in Computer Science · Computer Science 2025-08-08 Jeroen J. A. Keiren , Wieger Wesselink , Tim A. C. Willemse

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

Abstract interpretation offers a powerful toolset for static analysis, tackling precision, complexity and state-explosion issues. In the literature, state partitioning abstractions based on (bi)simulation and property-preserving state…

Logic in Computer Science · Computer Science 2025-06-09 Paolo Baldan , Roberto Bruni , Francesco Ranzato , Diletta Rigo

Automatic techniques for program verification usually suffer the well-known state explosion problem. Most of the classical approaches are based on browsing the structure of some form of model (which represents the behavior of the program)…

Programming Languages · Computer Science 2020-02-19 Marco Comini , Laura Titolo , Alicia Villanueva

Abstraction is one of the most important strategies for dealing with the state space explosion problem in model checking. In the abstract model, although the state space is largely reduced, however, a counterexample found in such a model…

Logic in Computer Science · Computer Science 2010-07-27 Cong Tian , Zhenhua Duan

Probabilistic programming is perfectly suited to reliable and transparent data science, as it allows the user to specify their models in a high-level language without worrying about the complexities of how to fit the models. Static analysis…

Artificial Intelligence · Computer Science 2020-08-31 Ryan Bernstein , Matthijs Vákár , Jeannette Wing

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

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

Static analysis is the analysis of a program without executing it, usually carried out by an automated tool. Symbolic execution is a popular static analysis technique used both in program verification and in bug detection software. It works…

Software Engineering · Computer Science 2024-08-06 Gabor Horvath , Reka Kovacs , Zoltan Porkolab

Model checking of multi-agent systems (MAS) is known to be hard, both theoretically and in practice. A smart abstraction of the state space may significantly reduce the model, and facilitate the verification. In this paper, we propose and…

Multiagent Systems · Computer Science 2023-10-19 Wojciech Jamroga , Yan Kim

Static analysis is a method of analyzing source code without executing it. It is widely used to find bugs and code smells in industrial software. Besides other methods, the most important techniques are those based on the abstract syntax…

Software Engineering · Computer Science 2024-08-13 Gabor Horvath , Reka Kovacs , Richard Szalay , Zoltan Porkolab

Nowadays, as machine-learned software quickly permeates our society, we are becoming increasingly vulnerable to programming errors in the data pre-processing or training software, as well as errors in the data itself. In this paper, we…

Programming Languages · Computer Science 2020-07-22 Caterina Urban

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

We present a general model allowing static analysis based on abstract interpretation for systems of communicating processes. Our technique, inspired by Regular Model Checking, represents set of program states as lattice automata and…

Software Engineering · Computer Science 2016-11-29 Vincent Botbol , Emmanuel Chailloux , Tristan Le Gall

A parameterised Boolean equation system (PBES) is a set of equations that defines sets satisfying the equations as the least and/or greatest fixed-points. Thus this system is regarded as a declarative program defining predicates, where a…

Logic in Computer Science · Computer Science 2018-02-20 Yutaro Nagae , Masahiko Sakai

State space models contain time-indexed parameters, termed states, as well as static parameters, simply termed parameters. The problem of inferring both static parameters as well as states simultaneously, based on time-indexed observations,…

Computation · Statistics 2021-05-28 Anthony Ebert , Pierre Pudlo , Kerrie Mengersen , Paul Wu , Christopher Drovandi

Parameterised Boolean Equation Systems (PBESs) are sequences of Boolean fixed point equations with data variables, used for, e.g., verification of modal mu-calculus formulae for process algebraic specifications with data. Solving a PBES is…

Logic in Computer Science · Computer Science 2012-10-25 Gijs Kant , Jaco van de Pol

Simulation-based compositional abstraction effectively mitigates state space explosion in model checking, particularly for timed systems. However, existing approaches do not support broadcast synchronization, an important mechanism for…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Hanyue Chen , Miaomiao Zhang , Frits Vaandrager

In large programming classes, it takes a significant effort from teachers to evaluate exercises and provide detailed feedback. In systems programming, test cases are not sufficient to assess exercises, since concurrency and resource…

Computers and Society · Computer Science 2024-11-07 Roberto Natella

Despite many advances that enable the application of model checking techniques to the verification of large systems, the state-explosion problem remains the main challenge for scalability. Compositional verification addresses this challenge…

Logic in Computer Science · Computer Science 2013-09-23 Dimitra Giannakopoulou , Corina S. Păsăreanu
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