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Related papers: State Complexity of Reversible Watson-Crick Automa…

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Watson-Crick automata are finite automata working on double strands. Extensive research work has already been done on non-deterministic Watson-Crick automata and on deterministic Watson-Crick automata. In this paper, we introduce a new…

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

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

Watson-Crick quantum finite automata were introduced by Ganguly et.al. by combining properties of DNA and Quantum automata. In this paper we introduce a multi-head version of the above automaton. We further show that the multi-head variant…

Formal Languages and Automata Theory · Computer Science 2020-05-21 Debayan Ganguly , Kingshuk Chatterjee , Kumar Sankar Ray

In this paper, we introduce a new model of deterministic Watson-Crick automaton namely restricted deterministic Watson- Crick automaton which is a deterministic Watson-Crick automaton where the complementarity string in the lower strand is…

Formal Languages and Automata Theory · Computer Science 2016-02-19 Kingshuk Chatterjee , Kumar Sankar Ray

In this paper, we have introduced the deterministic variant of parallel communicating Watson-Crick automata systems. We show that similar to the non-deterministic version, the deterministic version can also recognise some non-regular…

Formal Languages and Automata Theory · Computer Science 2015-07-21 Kingshuk Chatterjee , Kumar Sankar Ray

Inspired by multi-head finite automata and Watson-Crick automata in this paper, we introduce new structure namely multi-head Watson-Crick automata where we replace the single tape of multi-head finite automaton by a DNA double strand. The…

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

Watson-Crick (WK) finite automata are working on a Watson-Crick tape, that is, on a DNA molecule. A double stranded DNA molecule contains two strands, each having a 5' and a 3' end, and these two strands together form the molecule with the…

Formal Languages and Automata Theory · Computer Science 2022-09-01 Benedek Nagy

We investigate the worst-case state complexity of reversals of deterministic finite automata with output (DFAOs). In these automata, each state is assigned some output value, rather than simply being labelled final or non-final. This…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Sylvie Davies

In this paper, we show the all final subclass of two-way Watson-Crick automata have the same computational power as the classical two-way Watson-Crick automata. Here we compare the computational power of two-way Watson-Crick automata and…

Formal Languages and Automata Theory · Computer Science 2020-05-18 Debayan Ganguly , Kingshuk Chatterjee , Kumar Sankar Ray

Complexity has been a recurrent research topic in cellular automata because they represent systems where complex behaviors emerge from simple local interactions. A significant amount of previous research has been conducted proposing…

We consider the representational state complexity of unranked tree automata. The bottom-up computation of an unranked tree automaton may be either deterministic or nondeterministic, and further variants arise depending on whether the…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Xiaoxue Piao , Kai Salomaa

Every language recognized by a non-deterministic finite automaton can be recognized by a deterministic automaton, at the cost of a potential increase of the number of states, which in the worst case can go from $n$ states to $2^n$ states.…

Formal Languages and Automata Theory · Computer Science 2025-02-05 Arnaud Carayol , Philippe Duchon , Florent Koechlin , Cyril Nicaud

To study relationship between quantum finite automata and probabilistic finite automata, we introduce a notion of probabilistic reversible automata (PRA, or doubly stochastic automata). We find that there is a strong relationship between…

Computational Complexity · Computer Science 2011-06-14 Marats Golovkins , Maksim Kravtsev

Deterministic one-way time-bounded multi-counter automata are studied with respect to their ability to perform reversible computations, which means that the automata are also backward deterministic and, thus, are able to uniquely step the…

Formal Languages and Automata Theory · Computer Science 2022-09-01 Martin Kutrib , Andreas Malcher

Reversibility of a one-dimensional finite cellular automaton (CA) is dependent on lattice size. A finite CA can be reversible for a set of lattice sizes. On the other hand, reversibility of an infinite CA, which is decided by exploring the…

Formal Languages and Automata Theory · Computer Science 2019-03-15 Kamalika Bhattacharjee , Sukanta Das

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

Formal Languages and Automata Theory · Computer Science 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

We study a class of filters -- discrete finite-state transition systems employed as incremental stream transducers -- that have application to robotics: e.g., to model combinatorial estimators and also as concise encodings of feedback…

Robotics · Computer Science 2022-04-04 Yulin Zhang , Dylan A. Shell

History-deterministic automata are those in which nondeterministic choices can be correctly resolved stepwise: there is a strategy to select a continuation of a run given the next input letter so that if the overall input word admits some…

Formal Languages and Automata Theory · Computer Science 2026-04-01 Soumyajit Paul , David Purser , Sven Schewe , Qiyi Tang , Patrick Totzke , Di-De Yen

We present a new technique for demonstrating the reachability of states in deterministic finite automata representing the concatenation of two languages. Such demonstrations are a necessary step in establishing the state complexity of the…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Sylvie Davies

We examine the characteristic features of reversible and quantum computations in the presence of supplementary external information, known as advice. In particular, we present a simple, algebraic characterization of languages recognized by…

Quantum Physics · Physics 2015-08-25 Tomoyuki Yamakami
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