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We investigate means of efficient computation of the simulation relation over symbolic finite automata (SFAs), i.e., finite automata with transitions labeled by predicates over alphabet symbols. In one approach, we build on the algorithm by…

Logic in Computer Science · Computer Science 2018-07-30 Lukáš Holík , Ondřej Lengál , Juraj Síč , Margus Veanes , Tomáš Vojnar

Determinization of fuzzy finite automata is understood here as a procedure of their conversion into equivalent crisp-deterministic fuzzy automata, which can be viewed as being deterministic with possibly infinitely many states, but with…

Formal Languages and Automata Theory · Computer Science 2014-12-17 Ivana Micić , Zorana Jančić , Jelena Ignjatović , Miroslav Ćirić

In our recent paper we have established close relationships between state reduction of a fuzzy recognizer and resolution of a particular system of fuzzy relation equations. In that paper we have also studied reductions by means of those…

Formal Languages and Automata Theory · Computer Science 2011-03-01 Aleksandar Stamenković , Miroslav Ćirić , Jelena Ignjatović

This paper studies two kinds of simulation between cellular automata: simulations based on factor and simulations based on sub-automaton. We show that these two kinds of simulation behave in two opposite ways with respect to the complexity…

Discrete Mathematics · Computer Science 2010-12-01 Pierre Guillon , Pierre-Etienne Meunier , Guillaume Theyssier

Autonomous robots must operate in complex and changing environments subject to requirements on their behaviour. Verifying absolute satisfaction (true or false) of these requirements is challenging. Instead, we analyse requirements that…

Software Engineering · Computer Science 2021-04-13 Jeremy Morse , Dejanira Araiza-Illan , Jonathan Lawry , Arthur Richards , Kerstin Eder

This article focuses on minimax programming problems subject to addition-{\L}ukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions that a solution of the fuzzy relational inequalities is a…

General Mathematics · Mathematics 2024-08-27 Xue-Ping Wang , Meng Li , Qian-Yu Shu

Higher-dimensional automata (HDAs) are models of non-interleaving concurrency for analyzing concurrent systems. There is a rich literature that deals with bisimulations for concurrent systems, and some of them have been extended to HDAs.…

Logic in Computer Science · Computer Science 2026-03-03 Safa Zouari , Krzysztof Ziemiański , Uli Fahrenberg

Being the max-analogue of $\alpha$-stable stochastic processes, max-stable processes form one of the fundamental classes of stochastic processes. With the arrival of sufficient computational capabilities, they have become a benchmark in the…

Methodology · Statistics 2021-01-18 Marco Oesting , Kirstin Strokorb

It is well known over the recent years that measuring the success of projects under the umbrella of project management is inextricably linked with the associated cost, time, and quality. Most of the previous researches in the field assigned…

Optimization and Control · Mathematics 2024-01-17 Mohammad Sammany , Ahmad Steef , Nedaa Agami , T. Medhat

This paper deals with the resolutions of fuzzy relation equations with addition-min composition. When the fuzzy relation equations have a solution, we first propose an algorithm to find all minimal solutions of the fuzzy relation equations…

Artificial Intelligence · Computer Science 2022-11-01 Meng Li , Xue-Ping Wang

Cellular automata (CA) play an important role in the development of computationally efficient microscopic traffic models and recently have gained considerable importance as a mean of optimising traffic control strategies. However, real-time…

Emerging Technologies · Computer Science 2013-11-25 Bartłomiej Płaczek

In this paper we combine determinization and state reduction methods into two-in-one algorithms that simultaneously perform determinization and state reduction. These algorithms perform better than all previous determinization algorithms…

Formal Languages and Automata Theory · Computer Science 2014-12-09 Zorana Jančić , Ivana Micić , Jelena Ignjatović , Miroslav Ćirić

There has been a great deal of recent interest in methods for performing lifted inference; however, most of this work assumes that the first-order model is given as input to the system. Here, we describe lifted inference algorithms that…

Artificial Intelligence · Computer Science 2012-05-14 Prithviraj Sen , Amol Deshpande , Lise Getoor

To deal with system uncertainty, finite automata have been generalized into fuzzy automata. Stamenkovic and Ciric proposed an approach using the position automata for the construction of fuzzy automata from fuzzy regular expressions. There…

Formal Languages and Automata Theory · Computer Science 2014-12-02 Rahul Kumar , Ajay Kumar

Fuzzy modeling has many advantages over the non-fuzzy methods, such as robustness against uncertainties and less sensitivity to the varying dynamics of nonlinear systems. Data-driven fuzzy modeling needs to extract fuzzy rules from the…

Systems and Control · Computer Science 2018-06-08 Erick de la Rosa , Wen Yu

Behaviour distances to measure the resemblance of two states in a (nondeterministic) fuzzy transition system have been proposed recently in the literature. Such a distance, defined as a pseudo-ultrametric over the state space of the model,…

Logic in Computer Science · Computer Science 2017-01-25 Taolue Chen , Tingting Han , Yongzhi Cao

Simulations of weighted tree automata (wta) are considered. It is shown how such simulations can be decomposed into simpler functional and dual functional simulations also called forward and backward simulations. In addition, it is shown in…

Formal Languages and Automata Theory · Computer Science 2015-05-18 Zoltán Ésik , Andreas Maletti

Fuzzy optimization deals with the problem of determining 'optimal'solutions of an optimization problem when some of the elements that appear in the problem are not precise. In real situations it is usual to have information, in systems…

Optimization and Control · Mathematics 2009-08-27 Victor Blanco , Justo Puerto

We present an efficient algorithm for computing the partial bisimulation preorder and equivalence for labeled transitions systems. The partial bisimulation preorder lies between simulation and bisimulation, as only a part of the set of…

Logic in Computer Science · Computer Science 2012-07-12 J. Markovski

We present a new approach to simulating Hamiltonian dynamics based on implementing linear combinations of unitary operations rather than products of unitary operations. The resulting algorithm has superior performance to existing simulation…

Quantum Physics · Physics 2018-08-02 Andrew M. Childs , Nathan Wiebe