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We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or…

Logic in Computer Science · Computer Science 2016-09-15 Benjamin Aminof , Sasha Rubin , Francesco Spegni , Florian Zuleger

We study the safety verification problem for a class of distributed parameter systems described by partial differential equations (PDEs), i.e., the problem of checking whether the solutions of the PDE satisfy a set of constraints at a…

Optimization and Control · Mathematics 2017-08-11 Mohamadreza Ahmadi , Giorgio Valmorbida , Antonis Papachristodoulou

In a previous paper we have presented a CEGAR approach for the verification of parameterized systems with an arbitrary number of processes organized in an array or a ring. The technique is based on the iterative computation of parameterized…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-21 Javier Esparza , Mikhail Raskin , Christoph Welzel

We present a fully automatic algorithm for verifying safety properties of parameterized software systems. This algorithm is based on both IC3 and Lazy Annotation. We implemented it in Cubicle, a model checker for verifying safety properties…

Logic in Computer Science · Computer Science 2018-11-21 Sylvain Conchon , Amit Goel , Sava Krstic , Rupak Majumdar , Mattias Roux

We present the first fully automatic framework for verifying relational properties of parameterized quantum programs, i.e., a program that, given an input size, generates a corresponding quantum circuit. We focus on verifying input-output…

Logic in Computer Science · Computer Science 2025-12-03 Parosh Aziz Abdulla , Yu-Fang Chen , Michal Hečko , Lukáš Holík , Ondřej Lengál , Jyun-Ao Lin , Ramanathan S. Thinniyam

While reachability analysis is one of the most promising approaches for formal verification of dynamic systems, a major disadvantage preventing a more widespread application is the requirement to manually tune algorithm parameters such as…

Logic in Computer Science · Computer Science 2024-04-09 Niklas Kochdumper , Stanley Bak

In this note, we provide complexity characterizations of model checking multi-pushdown systems. Multi-pushdown systems model recursive concurrent programs in which any sequential process has a finite control. We consider three standard…

Logic in Computer Science · Computer Science 2012-12-10 Kshitij Bansal , Stéphane Demri

In this work we extend the Emerson and Kahlon's cutoff theorems for process skeletons with conjunctive guards to Parameterized Networks of Timed Automata, i.e. systems obtained by an \emph{apriori} unknown number of Timed Automata…

Logic in Computer Science · Computer Science 2016-05-20 Luca Spalazzi , Francesco Spegni

We introduce a term algebra as a new formal specification language for the coordinating architectures of distributed systems consisting of a finite yet unbounded number of components. The language allows to describe infinite sets of systems…

Formal Languages and Automata Theory · Computer Science 2020-10-15 Marius Bozga , Radu Iosif

Automated software verification of concurrent programs is challenging because of exponentially large state spaces with respect to the number of threads and number of events per thread. Verification techniques such as model checking need to…

Programming Languages · Computer Science 2020-04-15 Patrick Metzler , Habib Saissi , Péter Bokor , Neeraj Suri

Commutativity has proven to be a powerful tool in reasoning about concurrent programs. Recent work has shown that a commutativity-based reduction of a program may admit simpler proofs than the program itself. The framework of…

Programming Languages · Computer Science 2023-11-07 Azadeh Farzan , Dominik Klumpp , Andreas Podelski

In PLDI'20, Lee et al. introduced the \emph{promising } semantics PS 2.0 of the C++ concurrency that captures most of the common program transformations while satisfying the DRF guarantee. The reachability problem for finite-state programs…

Programming Languages · Computer Science 2020-10-19 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Adwait Godbole , Shankaranarayanan Krishna , Viktor Vafeiadis

We argue that formal certification of AI alignment over open-ended or unbounded input domains is impossible under standard assumptions in computational complexity and learning theory, and characterise what remains achievable. Two…

Machine Learning · Statistics 2026-05-28 Ayushi Agarwal

The ubiquity of distributed agreement protocols, such as consensus, has galvanized interest in verification of such protocols as well as applications built on top of them. The complexity and unboundedness of such systems, however, makes…

Programming Languages · Computer Science 2022-05-16 Christopher Wagner , Nouraldin Jaber , Roopsha Samanta

Algorithmic verification of realistic systems to satisfy safety and other temporal requirements has suffered from poor scalability of the employed formal approaches. To design systems with rigorous guarantees, many approaches still rely on…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

We consider the problem of verifying deadlock freedom for symmetric cache coherence protocols. In particular, we focus on a specific form of deadlock which is useful for the cache coherence protocol domain and consistent with the internal…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-29 Divjyot Sethi , Muralidhar Talupur , Sharad Malik

We study verification problems for autonomous swarms of mobile robots that self-organize and cooperate to solve global objectives. In particular, we focus in this paper on the model proposed by Suzuki and Yamashita of anonymous robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-19 Arnaud Sangnier , Nathalie Sznajder , Maria Potop-Butucaru , Sébastien Tixeuil

We present an approach to parameterized reachability for communicating finite-state threads that formulates the analysis as a satisfiability problem. In addition to the unbounded number of threads, the main challenge for SAT/SMT-based…

Logic in Computer Science · Computer Science 2015-05-12 Peizun Liu , Thomas Wahl

The pairwise reachability problem for a multi-threaded program asks, given control locations in two threads, whether they can be simultaneously reached in an execution of the program. The problem is important for static analysis and is used…

Logic in Computer Science · Computer Science 2015-07-01 Remi Bonnet , Rohit Chadha , Mahesh Viswanathan , P. Madhusudan

This paper addresses the quantitative verification of finite-time constrained occupation time for stochastic continuous-time systems governed by stochastic differential equations (SDEs). Unlike classical reachability analysis, which focuses…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Bai Xue , C. -H. Luke Ong