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Among the approximation methods for the verification of counter systems, one of them consists in model-checking their flat unfoldings. Unfortunately, the complexity characterization of model-checking problems for such operational models is…

Logic in Computer Science · Computer Science 2013-04-24 Stéphane Demri , Amit Kumar Dhar , Arnaud Sangnier

Let $\mathcal{P}$ be a property of function $\mathbb{F}_p^n \to \{0,1\}$ for a fixed prime $p$. An algorithm is called a tester for $\mathcal{P}$ if, given a query access to the input function $f$, with high probability, it accepts when $f$…

Computational Complexity · Computer Science 2014-02-11 Yuichi Yoshida

Partial model checking was proposed by Andersen in 1995 to verify a temporal logic formula compositionally on a composition of processes. It consists in incrementally incorporating into the formula the behavioural information taken from one…

Logic in Computer Science · Computer Science 2015-07-01 Frédéric Lang , Radu Mateescu

In this communication, we resolve a longstanding open question in the probabilistic verification of infinite-state systems. We show that model checking {\it stateless probabilistic pushdown systems (pBPA)} against {\it probabilistic…

Logic in Computer Science · Computer Science 2025-07-02 Deren Lin , Tianrong Lin

System development is not a linear, one-shot process. It proceeds through refinements and revisions. To support assurance that the system satisfies its requirements, it is desirable that continuous verification can be performed after each…

Logic in Computer Science · Computer Science 2018-11-28 Claudio Menghi , Alessandro Maria Rizzi , Anna Bernasconi

As the complexity of software systems rises, methods for explaining their behaviour are becoming ever-more important. When a system fails, it is critical to determine which of its components are responsible for this failure. Within the…

Formal Languages and Automata Theory · Computer Science 2026-02-23 Christel Baier , Rio Klatt , Sascha Klüppelholz , Max Korn , Johannes Lehmann

Continuous engineering of autonomous driving functions commonly requires deploying vehicles in road testing to obtain inputs that cause problematic decisions. Although the discovery leads to producing an improved system, it also challenges…

Artificial Intelligence · Computer Science 2021-09-28 Chih-Hong Cheng , Rongjie Yan

When validating formal models, sizable effort goes into ensuring two types of properties: safety properties (nothing bad happens) and liveness properties (something good occurs eventually. Event-B supports checking safety properties all…

Logic in Computer Science · Computer Science 2025-05-27 Sebastian Stock , Michael Leuschel , Atif Mashkoor

Model-driven design of software for safety-critical applications often relies on mathematically grounded techniques such as the B method. Such techniques consist in the successive applications of refinements to derive a concrete…

Software Engineering · Computer Science 2009-07-14 David Deharbe , Bruno E. G. Gomes , Anamaria M. Moreira

Software model checking, as an undecidable problem, has three possible outcomes: (1) the program satisfies the specification, (2) the program does not satisfy the specification, and (3) the model checker fails. The third outcome usually…

Software Engineering · Computer Science 2015-03-19 Dirk Beyer , Thomas A. Henzinger , M. Erkan Keremoglu , Philipp Wendler

In this paper, we study the problem of model-checking quantum pushdown systems from a computational complexity point of view. We arrive at the following equally important, interesting new results: We first extend the notions of the {\it…

Logic in Computer Science · Computer Science 2026-05-11 Deren Lin , Tianrong Lin

Spatial aspects of computation are becoming increasingly relevant in Computer Science, especially in the field of collective adaptive systems and when dealing with systems distributed in physical space. Traditional formal verification…

Logic in Computer Science · Computer Science 2019-03-14 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

Often fairness assumptions need to be made in order to establish liveness properties of distributed systems, but in many situations they lead to false conclusions. This document presents a research agenda aiming at laying the foundations of…

Logic in Computer Science · Computer Science 2019-12-13 Rob van Glabbeek

Cyber-physical systems, like Smart Buildings and power plants, have to meet high standards, both in terms of reliability and availability. Such metrics are typically evaluated using Fault trees (FTs) and do not consider maintenance…

Logic in Computer Science · Computer Science 2018-01-15 Nathalie Cauchi , Khaza Anuarul Hoque , Alessandro Abate , Marielle Stoelinga

We address the model checking problem for shared memory concurrent programs modeled as multi-pushdown systems. We consider here boolean programs with a finite number of threads and recursive procedures. It is well-known that the model…

Logic in Computer Science · Computer Science 2012-06-01 Mohamed Faouzi Atig , Ahmed Bouajjani , K. Narayan Kumar , Prakash Saivasan

Model checking approaches can be divided into two broad categories: global approaches that determine the set of all states in a model M that satisfy a temporal logic formula f, and local approaches in which, given a state s in M, the…

Logic in Computer Science · Computer Science 2014-10-29 Diego Latella , Michele Loreti , Mieke Massink

Automata-based modeling languages, like Component Interaction Automata, offer an attractive means to capture and analyze the behavioral aspects of interacting components. At the center of these modeling languages we find finite state…

Software Engineering · Computer Science 2010-10-15 Markus Lumpe , Rajesh Vasa

The correctness of many algorithms and data structures depends on reachability properties, that is, on the existence of chains of references between objects in the heap. Reasoning about reachability is difficult for two main reasons. First,…

Programming Languages · Computer Science 2019-08-19 Arshavir Ter-Gabrielyan , Alexander J. Summers , Peter Müller

Economic models may exhibit incompleteness depending on whether or not they admit certain policy-relevant features such as strategic interaction, self-selection, or state dependence. We develop a novel test of model incompleteness and…

Econometrics · Economics 2023-09-08 Shuowen Chen , Hiroaki Kaido

With the increased use of machine learning systems for decision making, questions about the fairness properties of such systems start to take center stage. Most existing work on algorithmic fairness assume complete observation of features…

Machine Learning · Computer Science 2022-12-06 Nikil Roashan Selvam , Guy Van den Broeck , YooJung Choi