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Timed Automata (TA) are a very popular modeling formalism for systems with time-sensitive properties. A common task is to verify if a network of TA satisfies a given property, usually expressed in Linear Temporal Logic (LTL), or in a subset…

Logic in Computer Science · Computer Science 2021-04-27 Robert L. Smith , Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

The problem DFA-Intersection-Nonemptiness asks if a given number of deterministic automata accept a common word. In general, this problem is PSPACE-complete. Here, we investigate this problem for the subclasses of commutative automata and…

Formal Languages and Automata Theory · Computer Science 2021-08-12 Henning Fernau , Stefan Hoffmann , Michael Wehar

Combining ideas from distributed algorithms and alternating automata, we introduce a new class of finite graph automata that recognize precisely the languages of finite graphs definable in monadic second-order logic. By restricting…

Formal Languages and Automata Theory · Computer Science 2018-07-03 Fabian Reiter

We consider finite two-way automata and measure the use of two-way motion by counting the number of left moves in accepting computations. Restriction of the automata according to this measure allows us to study in detail the use of two-way…

Formal Languages and Automata Theory · Computer Science 2014-09-23 David Damanik

We introduce and investigate forgetting 1-limited automata, which are single-tape Turing machines that, when visiting a cell for the first time, replace the input symbol in it by a fixed symbol, so forgetting the original contents. These…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Giovanni Pighizzini , Luca Prigioniero

Timed automata (TAs) are a widely used formalism to specify systems having temporal requirements. However, exactly specifying the system may be difficult, as the user may not know the exact clock constraints triggering state transitions. In…

Logic in Computer Science · Computer Science 2019-07-05 Étienne André , Paolo Arcaini , Angelo Gargantini , Marco Radavelli

Deterministic timed automata are strictly less expressive than their non-deterministic counterparts, which are again less expressive than those with silent transitions. As a consequence, timed automata are in general non-determinizable.…

Formal Languages and Automata Theory · Computer Science 2015-08-17 Florian Lorber , Amnon Rosenmann , Dejan Nickovic , Bernhard Aichernig

Temporal Knowledge Graph Question Answering (TKGQA) is challenging because it requires multi-hop reasoning under complex temporal constraints. Recent LLM-based approaches have improved semantic modeling for this task, but many still rely on…

Computation and Language · Computer Science 2026-03-26 Xufei Lv , Jiahui Yang , Haoyuan Sun , Xialin Su , Zhiliang Tian , Yifu Gao , Linbo Qiao , Houde Liu

We consider a general notion of timed automata with input-determined guards and show that they admit a robust logical framework along the lines of [D 'Souza03], in terms of a monadic second order logic characterisation and an expressively…

Logic in Computer Science · Computer Science 2007-05-23 Deepak D'Souza , Nicolas Tabareau

1-way quantum finite automata are deterministic and reversible in nature, which greatly reduces its accepting property. In fact the set of languages accepted by 1-way quantum finite automata is a proper subset of regular languages. In this…

Formal Languages and Automata Theory · Computer Science 2015-12-10 Kingshuk Chatterjee , Kumar Sankar Ray

We introduce global one-counter tree automata (GOCTA) which deviate from usual counter tree automata by working on only one counter which is passed through the tree in lexicographical order, rather than duplicating the counter at every…

Formal Languages and Automata Theory · Computer Science 2024-06-24 Luisa Herrmann , Richard Mörbitz

Quantum cellular automata are alternative quantum-computing paradigms to quantum Turing machines and quantum circuits. Their working mechanisms are inherently automated, therefore measurement free, and they act in a translation invariant…

Quantum Physics · Physics 2025-07-28 Thiago L. M. Guedes , Don Winter , Markus Müller

This paper investigates the time-bounded version of the reachability problem for hybrid automata. This problem asks whether a given hybrid automaton can reach a given target location within T time units, where T is a constant rational…

Logic in Computer Science · Computer Science 2011-04-29 Thomas Brihaye , Laurent Doyen , Gilles Geeraerts , Joël Ouaknine , Jean-François Raskin , James Worrell

Finite cellular automata (FCA) are widely used in simulating nonlinear complex systems, and their reversibility is closely related to information loss during the evolution. However, only a relatively small portion of their reversibility…

Cellular Automata and Lattice Gases · Physics 2024-11-04 Chen Wang , Junchi Ma , Chao Wang , Defu Lin , Weilin Chen

Timed automata are the formal model for real-time systems. Extensions with discrete probabilistic branching have been considered in the literature and successfully applied. Probabilistic timed automata (PTA) do require all branching…

Logic in Computer Science · Computer Science 2024-03-05 Darion Haase , Joost-Pieter Katoen

We study the computational power of real-time finite automata that have been augmented with a vector of dimension k, and programmed to multiply this vector at each step by an appropriately selected $k \times k$ matrix. Only one entry of the…

Formal Languages and Automata Theory · Computer Science 2016-09-09 Özlem Salehi , Abuzer Yakaryılmaz , A. C. Cem Say

Model-based testing (MBT) derives test suites from a behavioural specification of the system under test. In practice, engineers favour simple models, such as labelled transition systems (LTSs). However, to deal with quiescence - the absence…

Formal Languages and Automata Theory · Computer Science 2025-07-25 Laura Brandán Briones , Marcus Gerhold , Petra van den Bos , Mariëlle Stoelinga

We study the expressive power of First-Order Logic (\FO) over (unordered) infinite trees, with the aim of identifying robust characterisations in terms of branching-time specification formalisms. While such correspondences are well…

Logic in Computer Science · Computer Science 2026-04-30 Massimo Benerecetti , Dario Della Monica , Angelo Matteo , Fabio Mogavero , Gabriele Puppis

Here we propose a variant of the nondeterministic finite automaton with translucent letters (NFAwtl) which, after reading and deleting a letter, does not return to the left end of its tape, but rather continues from the position of the…

Formal Languages and Automata Theory · Computer Science 2022-09-01 František Mráz , Friedrich Otto

We study alternating automata with qualitative semantics over infinite binary trees: alternation means that two opposing players construct a decoration of the input tree called a run, and the qualitative semantics says that a run of the…

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