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As a new programming paradigm, deep neural networks (DNNs) have been increasingly deployed in practice, but the lack of robustness hinders their applications in safety-critical domains. While there are techniques for verifying DNNs with…

Software Engineering · Computer Science 2022-07-05 Jiaxiang Liu , Yunhan Xing , Xiaomu Shi , Fu Song , Zhiwu Xu , Zhong Ming

In this paper bounded model checking of asynchronous concurrent systems is introduced as a promising application area for answer set programming. As the model of asynchronous systems a generalisation of communicating automata, 1-safe Petri…

Logic in Computer Science · Computer Science 2007-05-23 Keijo Heljanko , Ilkka Niemelä

Automating the solutions of multiple network information theory problems, stretching from fundamental concerns such as determining all information inequalities and the limitations of linear codes, to applied ones such as designing coded…

Information Theory · Computer Science 2017-07-10 Jayant Apte , John MacLaren Walsh

We investigate Petri nets with data, an extension of plain Petri nets where tokens carry values from an infinite data domain, and executability of transitions is conditioned by equalities between data values. We provide a decision procedure…

Computation and Language · Computer Science 2024-07-12 Łukasz Kamiński , Sławomir Lasota

Statecharts are frequently used as a modeling formalism in the design of state-based systems. Formal verification techniques are also often applied to prove certain properties about the behavior of the system. One of the most efficient…

Logic in Computer Science · Computer Science 2017-03-23 Bence Czipó , Ákos Hajdu , Tamás Tóth , István Majzik

Petri nets, also known as vector addition systems, are a long established model of concurrency with extensive applications in modelling and analysis of hardware, software and database systems, as well as chemical, biological and business…

Formal Languages and Automata Theory · Computer Science 2019-04-12 Wojciech Czerwinski , Slawomir Lasota , Ranko Lazic , Jerome Leroux , Filip Mazowiecki

In this paper we focus on some aspects related to modeling and formal verification of embedded systems. Many models have been proposed to represent embedded systems. These models encompass a broad range of styles, characteristics, and…

Logic in Computer Science · Computer Science 2010-10-26 Soumyadip Bandyopadhyay

Inferring inductive invariants is one of the main challenges of formal verification. The theory of abstract interpretation provides a rich framework to devise invariant inference algorithms. One of the latest breakthroughs in invariant…

Programming Languages · Computer Science 2022-01-19 Yotam M. Y. Feldman , Mooly Sagiv , Sharon Shoham , James R. Wilcox

Most methods for neural network verification focus on bounding the image, i.e., set of outputs for a given input set. This can be used to, for example, check the robustness of neural network predictions to bounded perturbations of an input.…

Machine Learning · Computer Science 2025-06-24 Xiyue Zhang , Benjie Wang , Marta Kwiatkowska , Huan Zhang

In Petri net synthesis we ask whether a given transition system $A$ can be implemented by a Petri net $N$. Depending on the level of accuracy, there are three ways how $N$ can implement $A$: an embedding, the least accurate implementation,…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers , Ronny Tredup

Order-reduction is a standard automated approximation technique for computer-aided design, analysis, and simulation of many classes of systems, from circuits to buildings. For a given system, these methods produce a reduced-order system…

Systems and Control · Computer Science 2016-02-23 Hoang-Dung Tran , Luan Viet Nguyen , Weiming Xiang , Taylor T. Johnson

Transition systems (TS) and Petri nets (PN) are important models of computation ubiquitous in formal methods for modeling systems. An important problem is how to extract from a given TS a PN whose reachability graph is equivalent (with a…

Formal Languages and Automata Theory · Computer Science 2022-05-05 Viktor Teren , Jordi Cortadella , Tiziano Villa

Spatial concurrent constraint programming (SCCP) is an algebraic model of spatial modalities in constrained-based process calculi; it can be used to reason about spatial information distributed among the agents of a system. This work…

Logic in Computer Science · Computer Science 2018-05-22 Miguel Romero , Camilo Rocha

The CEGAR loop in software model checking notoriously diverges when the abstraction refinement procedure does not derive a loop invariant. An abstraction refinement procedure based on an SMT solver is applied to a trace, i.e., a restricted…

Logic in Computer Science · Computer Science 2017-02-09 Marius Greitschus , Daniel Dietsch , Andreas Podelski

Conformance checking techniques aim to provide diagnostics on the conformity between process models and event data. Conventional methods, such as trace alignments, assume strict total ordering of events, leading to inaccuracies when…

Databases · Computer Science 2025-04-08 Ariba Siddiqui , Wil M. P. van der Aalst , Daniel Schuster

In this paper, we consider the problem of probabilistic stability analysis of a subclass of Stochastic Hybrid Systems, namely, Polyhedral Probabilistic Hybrid Systems (PPHS), where the flow dynamics is given by a polyhedral inclusion, the…

Artificial Intelligence · Computer Science 2023-04-07 Spandan Das , Pavithra Prabhakar

This paper introduces the concept of abstracted model reduction: a framework to improve the tractability of structure-preserving methods for the complexity reduction of interconnected system models. To effectively reduce high-order,…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Luuk Poort , Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Abstraction of a continuous-space model into a finite state and input dynamical model is a key step in formal controller synthesis tools. To date, these software tools have been limited to systems of modest size (typically $\leq$ 6…

Systems and Control · Computer Science 2018-01-29 Felix Gruber , Eric S. Kim , Murat Arcak

Deciding whether the union of two convex polyhedra is itself a convex polyhedron is a basic problem in polyhedral computations; having important applications in the field of constrained control and in the synthesis, analysis, verification…

Computational Geometry · Computer Science 2009-08-10 Roberto Bagnara , Patricia M. Hill , Enea Zaffanella

This study provides an efficient approach for using text data to calculate patent-to-patent (p2p) technological similarity, and presents a hybrid framework for leveraging the resulting p2p similarity for applications such as semantic search…

Machine Learning · Computer Science 2021-10-19 Hamid Bekamiri , Daniel S. Hain , Roman Jurowetzki