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Higher-dimensional automata (HDA) are a model of concurrency that models simultaneous execution of events using higher dimensional cells. HDA recognize languages of pomsets, a generalization of finite words whose letters are partially…

Formal Languages and Automata Theory · Computer Science 2026-05-26 Enzo Erlich , Jérémy Ledent , Krzysztof Ziemiański

The languages of infinite timed words accepted by timed automata are traditionally defined using Buchi-like conditions. These acceptance conditions focus on the set of locations visited infinitely often along a run, but completely ignore…

Formal Languages and Automata Theory · Computer Science 2013-09-12 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Amelie Stainer

In [1], we introduced the weakly synchronizing languages for probabilistic automata. In this report, we show that the emptiness problem of weakly synchronizing languages for probabilistic automata is undecidable. This implies that the…

Formal Languages and Automata Theory · Computer Science 2012-06-06 Laurent Doyen , Thierry Massart , Mahsa Shirmohammadi

In this note we study automata recognizing birecurrent sets. A set of words is birecurrent if the minimal partial DFA recognizing this set and the minimal partial DFA recognizing the reversal of this set are both strongly connected. This…

Formal Languages and Automata Theory · Computer Science 2017-11-10 Andrew Ryzhikov

Characterisations theorems serve as important tools in model theory and can be used to assess and compare the expressive power of temporal languages used for the specification and verification of properties in formal methods. While complete…

Logic in Computer Science · Computer Science 2024-04-30 Massimo Benerecetti , Laura Bozzelli , Fabio Mogavero , Adriano Peron

A language is dense if the set of all infixes (or subwords) of the language is the set of all words. Here, it is shown that it is decidable whether the language accepted by a nondeterministic Turing machine with a one-way read-only input…

Formal Languages and Automata Theory · Computer Science 2019-03-08 Oscar H. Ibarra , Ian McQuillan

We consider probabilistic automata on infinite words with acceptance defined by safety, reachability, B\"uchi, coB\"uchi, and limit-average conditions. We consider quantitative and qualitative decision problems. We present extensions and…

Logic in Computer Science · Computer Science 2011-04-28 Krishnendu Chatterjee , Thomas A. Henzinger , Mathieu Tracol

Partially ordered automata are automata where the transition relation induces a partial order on states. The expressive power of partially ordered automata is closely related to the expressivity of fragments of first-order logic on finite…

Logic in Computer Science · Computer Science 2023-06-22 Tomáš Masopust , Markus Krötzsch

The state complexity, respectively, nondeterministic state complexity of a regular language $L$ is the number of states of the minimal deterministic, respectively, of a minimal nondeterministic finite automaton for $L$. Some of the most…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Arto Salomaa , Kai Salomaa , Taylor J. Smith

The framework of Hybrid automata, introduced by Alur, Courcourbetis, Henzinger, and Ho, provides a formal modeling and analysis environment to analyze the interaction between the discrete and the continuous parts of cyber-physical systems.…

Formal Languages and Automata Theory · Computer Science 2017-12-20 Shankara Narayanan Krishna , Umang Mathur , Ashutosh Trivedi

There are many types of automata and grammar models that have been studied in the literature, and for these models, it is common to determine whether certain problems are decidable. One problem that has been difficult to answer throughout…

Formal Languages and Automata Theory · Computer Science 2024-05-20 Oscar H. Ibarra , Ian McQuillan

In the field of computational logic, two classes of finite automata are considered fundamental: deterministic and nondeterministic automata (DFAs and NFAs). In a more fine-grained approach three natural intermediate classes were introduced,…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Karolina Drabik , Anita Dürr , Fabian Frei , Filip Mazowiecki , Karol Węgrzycki

Automata admitting at most one accepting run per structure, known as unambiguous automata, find applications in verification of reactive systems as they extend the class of deterministic automata whilst maintaining some of their desirable…

Formal Languages and Automata Theory · Computer Science 2026-03-03 Anton Chernev , Corina Cîrstea , Helle Hvid Hansen , Clemens Kupke

State minimization is a fundamental problem in automata theory. The problem is also of great importance in the study of fuzzy automata. However, most work in the literature considered only state reduction of fuzzy automata, whereas the…

Formal Languages and Automata Theory · Computer Science 2013-05-21 Lvzhou Li , Daowen Qiu

It is widely recognized today that the management of imprecision and vagueness will yield more intelligent and realistic knowledge-based applications. Description Logics (DLs) are a family of knowledge representation languages that have…

Artificial Intelligence · Computer Science 2011-11-02 I. Horrocks , J. Z. Pan , G. Stamou , G. Stoilos , V. Tzouvaras

Trustworthiness especially for service oriented system is very important topic now a day in IT field of the whole world. Certain Trust Model depends on some certain values given by experts and developers. Here, main parameters for…

Cryptography and Security · Computer Science 2013-03-05 Kawser Wazed Nafi , Tonny Shekha kar , Amjad Hossain , M. M. A Hashem

We examine questions involving nondeterministic finite automata where all states are final, initial, or both initial and final. First, we prove hardness results for the nonuniversality and inequivalence problems for these NFAs. Next, we…

Computational Complexity · Computer Science 2009-07-03 Jui-Yi Kao , Narad Rampersad , Jeffrey Shallit

This paper summarizes the fundamental expressiveness, closure, and decidability properties of various finite-state automata classes with multiple input tapes. It also includes an original algorithm for the intersection of one-way…

Formal Languages and Automata Theory · Computer Science 2013-12-02 Carlo A. Furia

Herein we survey the main results concerning quantum automata and machines with classical control. These machines were originally proposed by Sernadas et al in [37], during the FCT QuantLog project. First, we focus on the expressivity of…

Quantum Physics · Physics 2017-09-06 Paulo Mateus , Daowen Qiu , Andre Souto

Despite the inherently fuzzy nature of reconstructions in historical linguistics, most scholars do not represent their uncertainty when proposing proto-forms. With the increasing success of recently proposed approaches to automating certain…

Computation and Language · Computer Science 2023-10-20 Johann-Mattis List , Nathan W. Hill , Robert Forkel , Frederic Blum