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Time-Basic Petri nets, is a powerful formalism for model- ing real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2014-09-10 Matteo Camilli

In this paper we deal with verification of safety properties of parameterized systems with a tree topology. The verification problem is translated to a purely logical problem of finding a finite countermodel for a first-order formula, which…

Logic in Computer Science · Computer Science 2011-07-27 Alexei Lisitsa

Bounded model checking is among the most efficient techniques for the automatic verification of concurrent programs. However, encoding all possible interleavings often requires a huge and complex formula, which significantly limits the…

Programming Languages · Computer Science 2018-04-04 Liangze Yin , Wei Dong , Wanwei Liu , Ji Wang

Networks are hard to configure correctly, and misconfigurations occur frequently, leading to outages or security breaches. Formal verification techniques have been applied to guarantee the correctness of network configurations, thereby…

Networking and Internet Architecture · Computer Science 2022-06-07 Divya Raghunathan , Ryan Beckett , Aarti Gupta , David Walker

Software model checkers based on under-approximations and SMT solvers are very successful at verifying safety (i.e. reachability) properties. They combine two key ideas -- (a) "concreteness": a counterexample in an under-approximation is a…

Logic in Computer Science · Computer Science 2013-06-11 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki , Edmund M. Clarke

As engineered systems expand, become more interdependent, and operate in real-time, reliability assessment is indispensable to support investment and decision making. However, network reliability problems are known to be #P-complete, a…

Data Structures and Algorithms · Computer Science 2019-05-03 R. Paredes , L. Duenas-Osorio , K. S. Meel , M. Y. Vardi

The Heard-Of model is a simple and relatively expressive model of distributed computation. Because of this, it has gained a considerable attention of the verification community. We give a characterization of all algorithms solving consensus…

Logic in Computer Science · Computer Science 2020-04-22 A. R. Balasubramanian , Igor Walukiewicz

We propose a reachability verification technique that combines the Petri net state equation (a linear algebraic overapproximation of the set of reachable states) with the concept of counterexample guided abstraction refinement. In essence,…

Logic in Computer Science · Computer Science 2015-07-01 Karsten Wolf , Harro Wimmel

The fundamental caching problem in networks asks to find an allocation of contents to a network of caches with the aim of maximizing the cache hit rate. Despite the problem's importance to a variety of research areas -- including not only…

Networking and Internet Architecture · Computer Science 2024-12-24 Robert Ganian , Fionn Mc Inerney , Dimitra Tsigkari

Quite often, verification tasks for distributed systems are accomplished via counter abstractions. Such abstractions can sometimes be justified via simulations and bisimulations. In this work, we supply logical foundations to this practice,…

Logic in Computer Science · Computer Science 2017-12-06 Silvio Ghilardi , Elena Pagani

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

A common technique to verify complex logic specifications for dynamical systems is the construction of symbolic abstractions: simpler, finite-state models whose behaviour mimics the one of the systems of interest. Typically, abstractions…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Rudi Coppola , Andrea Peruffo , Manuel Mazo

Network or graph structures are ubiquitous in the study of complex systems. Often, we are interested in complexity trends of these system as it evolves under some dynamic. An example might be looking at the complexity of a food web as…

Information Theory · Computer Science 2007-07-16 Russell K. Standish

Monotonic abstraction is a technique introduced in model checking parameterized distributed systems in order to cope with transitions containing global conditions within guards. The technique has been re-interpreted in a declarative setting…

Logic in Computer Science · Computer Science 2014-11-17 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

Time-Basic Petri nets, is a powerful formalism for modeling real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2021-03-15 Matteo Camilli

This paper revisits two classical distributed problems in anonymous networks, namely spanning tree construction and topology recognition, from the point of view of graph covering theory. For both problems, we characterize necessary and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Arnaud Casteigts , Yves Métivier , John Michael Robson

During the last decade, various approaches have been put forward to integrate business processes with different types of data. Each of such approaches reflects specific demands in the whole process-data integration spectrum. One particular…

Artificial Intelligence · Computer Science 2020-06-12 Silvio Ghilardi , Alessandro Gianola , Marco Montali , Andrey Rivkin

Broadcast networks allow one to model networks of identical nodes communicating through message broadcasts. Their parameterized verification aims at proving a property holds for any number of nodes, under any communication topology, and on…

Logic in Computer Science · Computer Science 2023-06-22 Nathalie Bertrand , Patricia Bouyer , Anirban Majumdar

We automatically verify the crucial steps in the original proof of correctness of an algorithm which, given a geometric graph satisfying certain additional properties removes edges in a systematic way for producing a connected graph in…

Logic in Computer Science · Computer Science 2023-11-30 Lucas Böltz , Viorica Sofronie-Stokkermans , Hannes Frey

Parameterized complexity allows us to analyze the time complexity of problems with respect to a natural parameter depending on the problem. Reoptimization looks for solutions or approximations for problem instances when given solutions to…

Computational Complexity · Computer Science 2019-07-31 Hans-Joachim Böckenhauer , Elisabet Burjons , Martin Raszyk , Peter Rossmanith