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A new discontinuous model of computation called one-way jumping finite automata was defined by H. Chigahara et. al. This model was a restricted version of the model jumping finite automata. These automata read an input symbol-by-symbol and…

Formal Languages and Automata Theory · Computer Science 2021-06-08 Ujjwal Kumar Mishra , Kalpana Mahalingam , Rama Raghavan

Jumping automata are finite automata that read their input in a non-consecutive manner, disregarding the order of the letters in the word. We introduce and study jumping automata over infinite words. Unlike the setting of finite words,…

Formal Languages and Automata Theory · Computer Science 2023-04-05 Shaull Almagor , Omer Yizhaq

In a jumping finite automaton, the input head can jump to an arbitrary position within the remaining input after reading and consuming a symbol. We characterize the corresponding class of languages in terms of special shuffle expressions…

Formal Languages and Automata Theory · Computer Science 2015-12-03 Henning Fernau , Meenakshi Paramasivan , Markus L. Schmid , Vojtěch Vorel

We complete the initial study of jumping finite automata, which was started in a former article of Meduna and Zemek \citep{athMED1}. The open questions about basic closure properties are solved. Besides this, we correct erroneous results…

Formal Languages and Automata Theory · Computer Science 2015-12-03 Vojtěch Vorel

In this paper the notion of quantum finite one-counter automata (QF1CA) is introduced. Introduction of the notion is similar to that of the 2-way quantum finite state automata by A.Kondacs and J.Watrous. The well-formedness conditions for…

Quantum Physics · Physics 2007-05-23 Maksim Kravtsev

We cast new light on the existing models of one-way deterministic topological automata by introducing a fresh but general, convenient model, in which, as each input symbol is read, an interior system of an automaton, known as a…

Formal Languages and Automata Theory · Computer Science 2021-04-19 Tomoyuki Yamakami

In this paper, we present the simulation of a simple, yet significantly powerful, sequential model by cellular automata. The simulated model is called oblivious multi-head one-way finite automata and is characterized by having its heads…

Cellular Automata and Lattice Gases · Physics 2010-12-07 Alex Borello

Jumping automata are finite automata that read their input in a non-sequential manner, by allowing a reading head to ``jump'' between positions on the input, consuming a permutation of the input word. We argue that allowing the head to jump…

Formal Languages and Automata Theory · Computer Science 2026-01-07 Shaull Almagor , Neta Dafni , Ishai Salgado

Quantum computing is concerned with computer technology based on the principles of quantum mechanics, with operations performed at the quantum level. Quantum computational models make it possible to analyze the resources required for…

Formal Languages and Automata Theory · Computer Science 2019-01-24 Amandeep Singh Bhatia , Ajay Kumar

In this paper, we introduce and explore a new model of {\it quantum finite automata} (QFA). Namely, {\it one-way finite automata with quantum and classical states} (1QCFA), a one way version of {\it two-way finite automata with quantum and…

Quantum Physics · Physics 2011-12-12 Shenggen Zheng , Daowen Qiu , Lvzhou Li , Jozef Gruska

The 2-way quantum finite automaton introduced by Kondacs and Watrous can accept non-regular languages with bounded error in polynomial time. If we restrict the head of the automaton to moving classically and to moving only in one direction,…

Quantum Physics · Physics 2007-05-23 Alex Brodsky , Nicholas Pippenger

The present paper introduces and studies an alternative concept of two-way finite automata called input-erasing two-way finite automata. Like the original model, these new automata can also move the reading head freely left or right on the…

Formal Languages and Automata Theory · Computer Science 2025-04-03 Alexander Meduna , Dominik Nejedlý , Zbyněk Křivka

In this paper we study a generalized model named one-way general quantum finite automata} (1gQFA), in which each symbol in the input alphabet induces a trace-preserving quantum operation, instead of a unitary transformation. Two different…

Quantum Physics · Physics 2010-10-26 Lvzhou Li , Daowen Qiu , Xiangfu Zou , Lvjun Li , Lihua Wu , Paulo Mateus

In automata theory, the quantum computation has been widely examined for finite state machines, known as quantum finite automata (QFAs), and less attention has been given to the QFAs augmented with counters or stacks. Moreover, to our…

Computational Complexity · Computer Science 2011-05-10 Abuzer Yakaryilmaz

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted…

Formal Languages and Automata Theory · Computer Science 2018-07-05 Andris Ambainis , Abuzer Yakaryılmaz

In this paper, we discuss the computational power of parallel communicating finite automata system with 1-way reversible finite automaton as components. We show that unlike the multi-head one way reversible finite automata model (where we…

Formal Languages and Automata Theory · Computer Science 2019-03-26 Debayan Ganguly , Kingshuk Chatterjee , Kumar Sankar Ray

Fuzzy automata, whose input alphabet is a set of numbers or symbols, are a formal model of computing with values. Motivated by Zadeh's paradigm of computing with words rather than numbers, Ying proposed a kind of fuzzy automata, whose input…

Artificial Intelligence · Computer Science 2015-06-25 Yongzhi Cao , Mingsheng Ying , Guoqing Chen

Model checking properties are often described by means of finite automata. Any particular such automaton divides the set of infinite trees into finitely many classes, according to which state has an infinite run. Building the full type…

Logic in Computer Science · Computer Science 2015-07-01 Klaus Aehlig

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 prove the equivalence of two classes of counter machines and one class of distributed automata. Our counter machines operate on finite words, which they read from left to right while incrementing or decrementing a fixed number of…

Formal Languages and Automata Theory · Computer Science 2018-07-03 Olivier Carton , Bruno Guillon , Fabian Reiter
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