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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

Finite-state automata are a very effective tool in natural language processing. However, in a variety of applications and especially in speech precessing, it is necessary to consider more general machines in which arcs are assigned weights…

Computation and Language · Computer Science 2007-05-23 Mehryar Mohri , Fernando Pereira , Michael Riley

This paper addresses issues in part of speech disambiguation using finite-state transducers and presents two main contributions to the field. One of them is the use of finite-state machines for part of speech tagging. Linguistic and…

cmp-lg · Computer Science 2007-05-23 Evelyne Tzoukermann , Dragomir R. Radev

When their reading heads are allowed to move completely asynchronously, finite-state automata with multiple tapes achieve a significant expressive power, but also lose useful closure properties---closure under intersection, in particular.…

Logic in Computer Science · Computer Science 2014-02-14 Carlo A. Furia

Quantum finite automata were introduced by C.Moore, J.P. Crutchfield, and by A.Kondacs and J.Watrous. This notion is not a generalization of the deterministic finite automata. Moreover, it was proved that not all regular languages can be…

Quantum Physics · Physics 2011-06-14 Andris Ambainis , Richard Bonner , Rusins Freivalds , Marats Golovkins , Marek Karpinski

The question whether P equals NP revolves around the discrepancy between active production and mere verification by Turing machines. In this paper, we examine the analogous problem for finite transducers and automata. Every nondeterministic…

Computational Complexity · Computer Science 2021-05-03 Elisabet Burjons , Fabian Frei , Martin Raszyk

Not all contracts are good, but all good contracts can be expressed as a finite-state transition system ("State-Transition Contracts"). Contracts that can be represented as State-Transition Contracts discretize fat-tailed risk to…

Formal Languages and Automata Theory · Computer Science 2023-02-02 J. Nathaniel Holmes , Homayoon Beigi

We present a general framework based on weighted finite automata and weighted finite-state transducers for describing and implementing speech recognizers. The framework allows us to represent uniformly the information sources and data…

cmp-lg · Computer Science 2008-02-03 Fernando C. N. Pereira , Michael D. Riley

Several abstract machines that operate on symbolic input alphabets have been proposed in the last decade, for example, symbolic automata or lattice automata. Applications of these types of automata include software security analysis and…

Formal Languages and Automata Theory · Computer Science 2019-10-18 Andreas Stahlbauer

Glushkov's construction has many interesting properties and they become even more evident when applied to transducers. This article strives to show the wast range of possible extensions and optimisations for this algorithm. Special flavour…

Formal Languages and Automata Theory · Computer Science 2020-09-23 Aleksander Mendoza-Drosik

We consider a class of finite state three-tape transducers which models the operation of shuffling and splitting words. We present them as automata over the so-called Shuffling Monoid. These automata can be seen as either shufflers or…

Formal Languages and Automata Theory · Computer Science 2024-07-04 Ignacio Mollo Cunningham

Finite-state transducers give efficient representations of many Natural Language phenomena. They allow to account for complex lexicon restrictions encountered, without involving the use of a large set of complex rules difficult to analyze.…

cmp-lg · Computer Science 2008-02-03 Mehryar Mohri

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

Minimizing finite automata, proving trace equivalence of labelled transition systems or representing sofic subshifts involve very similar arguments, which suggests the possibility of a unified formalism. We propose finite states…

Logic in Computer Science · Computer Science 2025-02-11 Titouan Carette , Marc de Visme , Vivien Ducros , Victor Lutfalla , Etienne Moutot

This is a book on weighted tree automata. We present the basic definitions and some of the important results in a coherent form with full proofs. The concept of weighted tree automata is part of Automata Theory and it touches the area of…

Formal Languages and Automata Theory · Computer Science 2026-01-28 Zoltán Fülöp , Heiko Vogler

Finite-state complexity is a variant of algorithmic information theory obtained by replacing Turing machines with finite transducers. We consider the state-size of transducers needed for minimal descriptions of arbitrary strings and, as our…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Cristian Calude , Kai Salomaa , Tania Roblot

This paper describes the conversion of a Hidden Markov Model into a sequential transducer that closely approximates the behavior of the stochastic model. This transformation is especially advantageous for part-of-speech tagging because the…

cmp-lg · Computer Science 2008-02-03 Andre Kempe

The state complexity of a finite(-state) automaton intuitively measures the size of the description of the automaton. Sakoda and Sipser [STOC 1972, pp. 275--286] were concerned with nonuniform families of finite automata and they discussed…

Formal Languages and Automata Theory · Computer Science 2024-04-16 Tomoyuki Yamakami

We define a model of advised computation by finite automata where the advice is provided on a separate tape. We consider several variants of the model where the advice is deterministic or randomized, the input tape head is allowed…

Formal Languages and Automata Theory · Computer Science 2016-03-27 Uğur Küçük , A. C. Cem Say , Abuzer Yakaryılmaz

The new finite state machine package in the mathematics software system SageMath is presented and illustrated by many examples. Several combinatorial problems, in particular digit problems, are introduced, modeled by automata and…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Clemens Heuberger , Daniel Krenn , Sara Kropf
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