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The Watson-Crick complementary properties of DNA make DNA a useful tool for the self-assembly of various target complexes. Concepts from graph theory can be used to model the self-assembling process in which the vertices of the graph…

Combinatorics · Mathematics 2023-02-28 Gabriel Lopez , Cory Johnson

Nested weighted automata (NWA) present a robust and convenient automata-theoretic formalism for quantitative specifications. Previous works have considered NWA that processed input words only in the forward direction. It is natural to allow…

Formal Languages and Automata Theory · Computer Science 2017-06-27 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

Recently, end-to-end automatic speech recognition has become the mainstream approach in both industry and academia. To optimize system performance in specific scenarios, the Weighted Finite-State Transducer (WFST) is extensively used to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-08 Wei Zhang , Tian-Hao Zhang , Chao Luo , Hui Zhou , Chao Yang , Xinyuan Qian , Xu-Cheng Yin

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

Finitely many two-way automata work independently and synchronously on a unary input. Some of their states are broadcasting, i.e., dispatched to all other automata. At each step of the computation, each automaton changes state and moves…

Logic in Computer Science · Computer Science 2024-08-20 Christian Choffrut

Speech recognition in mixed language has difficulties to adapt end-to-end framework due to the lack of data and overlapping phone sets, for example in words such as "one" in English and "w\`an" in Chinese. We propose a CTC-based end-to-end…

Computation and Language · Computer Science 2018-10-31 Genta Indra Winata , Andrea Madotto , Chien-Sheng Wu , Pascale Fung

Quantum finite automata derive their strength by exploiting interference in complex valued probability amplitudes. Of particular interest is the 2-way model of Ambainis and Watrous that has both quantum and classical states (2QCFA) [A.…

Quantum Physics · Physics 2007-05-23 M. V. Panduranga Rao , V. Vinay

A turn in a computation of a pushdown automaton is a switch from a phase in which the height of the pushdown store increases to a phase in which it decreases. Given a pushdown or one-counter automaton, we consider, for each string in its…

Formal Languages and Automata Theory · Computer Science 2026-03-10 Giovanni Pighizzini

Every language in NL has a $k$-head two-way nondeterministic finite automaton (2nfa($k$)) recognizing it. It is known how to build a constant-space verifier algorithm from a 2nfa($k$) for the same language with constant-randomness, but with…

Computational Complexity · Computer Science 2022-06-03 M. Utkan Gezer

In the Intersection Non-Emptiness problem, we are given a list of finite automata $A_1,A_2,\dots,A_m$ over a common alphabet $\Sigma$ as input, and the goal is to determine whether some string $w\in \Sigma^*$ lies in the intersection of the…

Formal Languages and Automata Theory · Computer Science 2021-10-05 Emmanuel Arrighi , Henning Fernau , Stefan Hoffmann , Markus Holzer , Ismaël Jecker , Mateus de Oliveira Oliveira , Petra Wolf

Imagine an assembly line where a box with a lid and liquid in it enters in some unknown orientation. The box should leave the line with the open lid facing upwards with the liquid still in it. To save costs there are no complex sensors or…

Formal Languages and Automata Theory · Computer Science 2022-03-18 Petra Wolf

We show that deterministic finite automata equipped with $k$ two-way heads are equivalent to deterministic machines with a single two-way input head and $k-1$ linearly bounded counters if the accepted language is strictly bounded, i.e., a…

Formal Languages and Automata Theory · Computer Science 2014-08-07 Holger Petersen

This paper examines several measures of space complexity of variants of stack automata: non-erasing stack automata and checking stack automata. These measures capture the minimum stack size required to accept every word in the language of…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Jozef Jirásek , Ian McQuillan , Luca Prigioniero

We introduce 2-way finite automata with quantum and classical states (2qcfa's). This is a variant on the 2-way quantum finite automata (2qfa) model which may be simpler to implement than unrestricted 2qfa's; the internal state of a 2qcfa…

Computational Complexity · Computer Science 2007-05-23 Andris Ambainis , John Watrous

A three-way (resp., two-way) two-dimensional automaton has a read-only input head that moves in three (resp., two) directions on a finite array of cells labelled by symbols of the input alphabet. Restricting the input head movement of a…

Formal Languages and Automata Theory · Computer Science 2021-05-05 Taylor J. Smith , Kai Salomaa

A typewriter automaton is a special variant of a two-dimensional automaton that receives two-dimensional words as input and is only capable of moving its input head through its input word in three directions: downward, leftward, and…

Formal Languages and Automata Theory · Computer Science 2022-07-21 Taylor J. Smith

The theory of computation is based on abstract computing automata which can be classified into a three-class hierarchy: Finite Automata (FA), Push-down Automata (PDA) and the Turing Machines (TM). Each class corresponds to grammar/language…

Emerging Technologies · Computer Science 2019-03-12 Marta Duenas-Diez , Juan Perez-Mercader

We consider a computational model which is known as set automata. The set automata are one-way finite automata with an additional storage---the set. There are two kinds of set automata---the deterministic and the nondeterministic ones. We…

Formal Languages and Automata Theory · Computer Science 2017-10-30 Alexander A. Rubtsov , Mikhail N. Vyalyi

Simultaneous machine translation consists in starting output generation before the entire input sequence is available. Wait-k decoders offer a simple but efficient approach for this problem. They first read k source tokens, after which they…

Computation and Language · Computer Science 2020-08-05 Maha Elbayad , Laurent Besacier , Jakob Verbeek

Traditional attempts for loop closure detection typically use hand-crafted features, relying on geometric and visual information only, whereas more modern approaches tend to use semantic, appearance or geometric features extracted from deep…

Robotics · Computer Science 2019-11-01 Nathaniel Merrill , Guoquan Huang