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In areas such as computer software and hardware, manufacturing systems, and transportation, engineers encounter networks with arbitrarily large numbers of isomorphic subprocesses. Parameterized systems provide a framework for modeling such…

Formal Languages and Automata Theory · Computer Science 2016-10-03 M. H. Zibaeenejad , J. G. Thistle

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

Fault-tolerant distributed algorithms are central for building reliable spatially distributed systems. Unfortunately, the lack of a canonical precise framework for fault-tolerant algorithms is an obstacle for both verification and…

Formal Languages and Automata Theory · Computer Science 2012-10-16 Annu John , Igor Konnov , Ulrich Schmid , Helmut Veith , Josef Widder

In this article, we study parameterized complexity theory from the perspective of logic, or more specifically, descriptive complexity theory. We propose to consider parameterized model-checking problems for various fragments of first-order…

Computational Complexity · Computer Science 2007-05-23 Joerg Flum , Martin Grohe

Although the security of quantum cryptography is provable based on the principles of quantum mechanics, it can be compromised by the flaws in the design of quantum protocols and the noise in their physical implementations. So, it is…

Quantum Physics · Physics 2013-11-15 Yuan Feng , Nengkun Yu , Mingsheng Ying

The model checking problem for CTL is known to be P-complete (Clarke, Emerson, and Sistla (1986), see Schnoebelen (2002)). We consider fragments of CTL obtained by restricting the use of temporal modalities or the use of…

Logic in Computer Science · Computer Science 2015-07-01 Olaf Beyersdorff , Arne Meier , Martin Mundhenk , Thomas Schneider , Michael Thomas , Heribert Vollmer

The finite intrinsic nature of the most distributed algorithms gives us this ability to use model checking tools for verification of this type of algorithms. In this paper, I attempt to use NuSMV as a model checking tool for verifying…

Logic in Computer Science · Computer Science 2008-08-08 Amin Ansari

We propose a parallel algorithm for local, on the fly, model checking of a fragment of CTL that is well-suited for modern, multi-core architectures. This model-checking algorithm takes bene t from a parallel state space construction…

Logic in Computer Science · Computer Science 2013-02-01 Rodrigo Tacla Saad , Silvano Dal Zilio , Bernard Berthomieu

Algorithmic meta-theorems explain the tractability of large classes of computational problems by linking logical expressibility with structural graph properties. While extensions of first-order logic such as FO+dp admit efficient model…

Logic in Computer Science · Computer Science 2026-05-04 Ignasi Sau , Nicole Schirrmacher , Sebastian Siebertz , Giannos Stamoulis , Dimitrios M. Thilikos , Alexandre Vigny

We study cutoff results for parameterized verification and synthesis of guarded protocols, as introduced by Emerson and Kahlon (2000). Guarded protocols describe systems of processes whose transitions are enabled or disabled depending on…

Logic in Computer Science · Computer Science 2017-07-06 Swen Jacobs , Mouhammad Sakr

Distributed protocols are generally parametric and can be executed on a system with any number of nodes, and hence proving their correctness becomes an infinite state verification problem. The most popular approach for verifying distributed…

Programming Languages · Computer Science 2022-11-29 Shreesha G. Bhat , Kartik Nagar

The analysis of parametrised systems is a growing field in verification, but the analysis of parametrised probabilistic systems is still in its infancy. This is partly because it is much harder: while there are beautiful cut-off results for…

Logic in Computer Science · Computer Science 2018-04-06 Paul Gainer , Ernst Moritz Hahn , Sven Schewe

Probabilistic model checking for systems with large or unbounded state space is a challenging computational problem in formal modelling and its applications. Numerical algorithms require an explicit representation of the state space, while…

Logic in Computer Science · Computer Science 2018-06-12 Dimitrios Milios , Guido Sanguinetti , David Schnoerr

The basic (and traditional) crossing number problem is to determine the minimum number of crossings in a topological drawing of an input graph in the plane. We develop a unified framework yielding fixed-parameter tractable (FPT) algorithms…

Computational Geometry · Computer Science 2026-05-07 Éric Colin de Verdière , Petr Hliněný

In this paper, we introduce LLMCHECKER, a model-checking-based verification method to verify the probabilistic computation tree logic (PCTL) properties of an LLM text generation process. We empirically show that only a limited number of…

Artificial Intelligence · Computer Science 2025-09-24 Dennis Gross , Helge Spieker , Arnaud Gotlieb

Modeling distributed computing in a way enabling the use of formal methods is a challenge that has been approached from different angles, among which two techniques emerged at the turn of the century: protocol complexes, and directed…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-21 Pierre Fraigniaud , Ami Paz

First-order logic has been established as an important tool for modeling and verifying intricate systems such as distributed protocols and concurrent systems. These systems are parametric in the number of nodes in the network or the number…

Logic in Computer Science · Computer Science 2024-08-21 Raz Lotan , Eden Frenkel , Sharon Shoham

We study model checking algorithms for infinite families of finite-state labeled transition systems against temporal properties written in CTL*. Such families arise, for example, as models of highly configurable systems or software product…

Logic in Computer Science · Computer Science 2026-01-23 Roberto Pettinau , Christoph Matheja

This paper investigates the algorithmic safety verification problem of infinite-state parameterized concurrent programs over a rich set of communication topologies. The goal is to automatically produce a proof of correctness in the form of…

Logic in Computer Science · Computer Science 2026-05-15 Ruotong Cheng , Azadeh Farzan

Transaction-level modeling with SystemC has been very successful in describing the behavior of embedded systems by providing high-level executable models, in which many of them have inherent probabilistic behaviors, e.g., random data and…

Software Engineering · Computer Science 2017-12-07 Van Chan Ngo , Axel Legay
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