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Automated Vehicles require exhaustive testing in simulation to detect as many safety-critical failures as possible before deployment on public roads. In this work, we focus on the core decision-making component of autonomous robots: their…

In the classic problem of sequence prediction, a predictor receives a sequence of values from an emitter and tries to guess the next value before it appears. The predictor masters the emitter if there is a point after which all of the…

Formal Languages and Automata Theory · Computer Science 2016-03-09 Tim Smith

The determinisation problem for min-plus (tropical) weighted automata was recently shown to be decidable. However, the proof is purely existential, relying on several non-constructive arguments. Our contribution in this work is twofold:…

Formal Languages and Automata Theory · Computer Science 2026-05-06 Shaull Almagor , Guy Arbel , Sarai Sheinvald

This paper describes AutoFix, an automatic debugging technique that can fix faults in general-purpose software. To provide high-quality fix suggestions and to enable automation of the whole debugging process, AutoFix relies on the presence…

Software Engineering · Computer Science 2014-05-22 Yu Pei , Carlo A. Furia , Martin Nordio , Yi Wei , Bertrand Meyer , Andreas Zeller

Fault-tolerant distributed systems offer high reliability because even if faults in their components occur, they do not exhibit erroneous behavior. Depending on the fault model adopted, hardware and software errors that do not result in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Rodrigo R. Barbieri , Enrique S. dos Santos , Gustavo M. D. Vieira

Verifying properties and interpreting the behaviour of deep neural networks (DNN) is an important task given their ubiquitous use in applications, including safety-critical ones, and their black-box nature. We propose an automata-theoric…

Formal Languages and Automata Theory · Computer Science 2023-09-28 Marco Sälzer , Eric Alsmann , Florian Bruse , Martin Lange

This paper presents a novel method for assessing multiple fault diagnosability and detectability of nonlinear parametrized dynamical models. This method is based on computer algebra algorithms which return precomputed values of algebraic…

Dynamical Systems · Mathematics 2018-07-10 Nathalie Verdière , Sébastien Orange

Induction motors are one of the most crucial electrical equipment and are extensively used in industries in a wide range of applications. This paper presents a machine learning model for the fault detection and classification of induction…

Machine Learning · Computer Science 2024-09-17 Kavana Venkatesh , Neethi M

We exhibit the construction of a deterministic automaton that, given k > 0, recognizes the (regular) language of k-differentiable words. Our approach follows a scheme of Crochemore et al. based on minimal forbidden words. We extend this…

Discrete Mathematics · Computer Science 2015-03-18 Jean-Marc Fédou , Gabriele Fici

We analyze the fate of dynamical systems that consist of two kind of processes. The first type is supposed to perform a certain function by processing information at a required high accuracy, which is, however, limited to less than 100…

Biological Physics · Physics 2018-10-10 Maximilian Voit , Hildegard Meyer-Ortmanns

We study the determinisation and unambiguisation problems of weighted automata over the rational field: Given a weighted automaton, can we determine whether there exists an equivalent deterministic, respectively unambiguous, weighted…

Formal Languages and Automata Theory · Computer Science 2025-05-28 Ismaël Jecker , Filip Mazowiecki , David Purser

The identification of safe faults (i.e., faults which are guaranteed not to produce any failure) in an electronic system is a crucial step when analyzing its dependability and its test plan development. Unfortunately, safe fault…

Hardware Architecture · Computer Science 2020-09-25 C. C. Gursoy , M. Jenihhin , A. S. Oyeniran , D. Piumatti , J. Raik , M. Sonza Reorda , R. Ubar

One of the biggest problems in current distributed systems is that presented by one machine attempting to determine the liveness of another in a timely manner. Unfortunately, the symptoms exhibited by a failed machine can also be the result…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Mark C. Little

We consider the problem of minimising the number of states in a multiplicity tree automaton over the field of rational numbers. We give a minimisation algorithm that runs in polynomial time assuming unit-cost arithmetic. We also show that a…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Stefan Kiefer , Ines Marusic , James Worrell

We study the problem of finding solutions to the stable matching problem that are robust to errors in the input and we obtain a polynomial time algorithm for a special class of errors. In the process, we also initiate work on a new…

Data Structures and Algorithms · Computer Science 2018-12-17 Tung Mai , Vijay V. Vazirani

Components of electrical power systems are susceptible to failures caused by lightning strikes, aging or human errors. These faults can cause equipment damage, affect system reliability, and results in expensive repair costs. As electric…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Juan A. Martinez-Velasco , Alexandre Serrano-Fontova , Ricard Bosch-Tous , Pau Casals-Torrens

Detecting faults in manufacturing applications can be difficult, especially if each fault model is to be engineered by hand. Data-driven approaches, using Machine Learning (ML) for detecting faults have recently gained increasing interest,…

Machine Learning · Computer Science 2021-07-06 Błażej Leporowski , Daniella Tola , Casper Hansen , Alexandros Iosifidis

Congruences for stochastic automata are defined, the correspondin factor automata are constructed and investigated for automata ove analytic spaces. We study the behavior under finite and infinite streams. Congruences consist of multiple…

Formal Languages and Automata Theory · Computer Science 2020-11-16 Ernst-Erich Doberkat

Quantum systems, in general, output data that cannot be simulated efficiently by a classical computer, and hence is useful for solving certain mathematical problems and simulating quantum many-body systems. This also implies, unfortunately,…

Quantum Physics · Physics 2017-10-04 Keisuke Fujii , Masahito Hayashi

Industrial robots are important machines applied in numerous modern industries that execute repetitive tasks with high accuracy, replacing or supporting dangerous jobs. In this kind of system, with increased complexity in which cost is…

Robotics · Computer Science 2021-04-26 Marcela G. dos Santos , Fabio Petrillo
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