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Recent employments of SMT solvers within the Lyapunov function synthesis provided effective tools for automated construction of Lyapunov functions alongside with sound computer-assisted certificates. The main benefit of the suggested…

Systems and Control · Electrical Eng. & Systems 2021-12-06 Lukas Munser , Grigory Devadze , Stefan Streif

We develop a learning algorithm for closed signal flow graphs - a graphical model of signal transducers. The algorithm relies on the correspondence between closed signal flow graphs and weighted finite automata on a singleton alphabet. We…

Logic in Computer Science · Computer Science 2024-07-02 Ekaterina Piotrovskaya , Leo Lobski , Fabio Zanasi

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

Weighted finite automata and transducers (including hidden Markov models and conditional random fields) are widely used in natural language processing (NLP) to perform tasks such as morphological analysis, part-of-speech tagging, chunking,…

Computation and Language · Computer Science 2017-01-18 Arturo Argueta , David Chiang

Finite-state morphology in the general tradition of the Two-Level and Xerox implementations has proved very successful in the production of robust morphological analyzer-generators, including many large-scale commercial systems. However, it…

Computation and Language · Computer Science 2009-09-25 Kenneth R. Beesley , Lauri Karttunen

The word position automaton was introduced by Glushkov and McNaughton in the early 1960. This automaton is homogeneous and has (||\E||+1) states for a word expression of alphabetic width ||\E||. This kind of automata is extended to regular…

Formal Languages and Automata Theory · Computer Science 2015-02-24 Nadia Ouali Sebti , Djelloul Ziadi

The conversion of a given regular tree expression into a tree automaton has been widely studied. However, classical interpretations are based upon a Top-Down interpretation of tree automata. In this paper, we propose new constructions based…

Formal Languages and Automata Theory · Computer Science 2018-05-23 Samira Attou , Ludovic Mignot , Djelloul Ziadi

This paper proposes a practical successive decoding scheme with finite levels for the finite-state Markov channels where there is no a priori state information at the transmitter or the receiver. The design employs either a random…

Information Theory · Computer Science 2009-05-06 Teng Li , Oliver M. Collins

Weighted finite-state transducers (FSTs) are frequently used in language processing to handle tasks such as part-of-speech tagging and speech recognition. There has been previous work using multiple CPU cores to accelerate finite state…

Computation and Language · Computer Science 2018-05-17 Arturo Argueta , David Chiang

Deterministic two-way transducers capture the class of regular functions. The efficiency of composing two-way transducers has a direct implication in algorithmic problems related to reactive synthesis, where transformation specifications…

Formal Languages and Automata Theory · Computer Science 2024-07-01 Luc Dartois , Paul Gastin , Loïc Germerie Guizouarn , R. Govind , Shankaranarayanan Krishna

Algorithms for building bimachines from functional transducers found in the literature in a run of the bimachine imitate one successful path of the input transducer. Each single bimachine output exactly corresponds to the output of a single…

Formal Languages and Automata Theory · Computer Science 2018-03-13 Stefan Gerdjikov , Stoyan Mihov , Klaus U. Schulz

Functional MSO transductions, deterministic two-way transducers, as well as streaming string transducers are all equivalent models for regular functions. In this paper, we show that every regular function, either on finite words or on…

Formal Languages and Automata Theory · Computer Science 2018-02-07 Vrunda Dave , Paul Gastin , Krishna Shankara Narayanan

Transducers extend finite state automata with outputs, and describe transformations from strings to strings. Sequential transducers, which have a deterministic behaviour regarding their input, are of particular interest. However, unlike…

Logic in Computer Science · Computer Science 2019-03-01 Pierre-Alain Reynier , Didier Villevalois

We consider forkable regular expressions, which enrich regular expressions with a fork operator, to establish a formal basis for static and dynamic analysis of the communication behavior of concurrent programs. We define a novel…

Formal Languages and Automata Theory · Computer Science 2015-12-09 Martin Sulzmann , Peter Thiemann

In this paper, we describe a new method for constructing minimal, deterministic, acyclic finite-state automata from a set of strings. Traditional methods consist of two phases: the first to construct a trie, the second one to minimize it.…

Computation and Language · Computer Science 2007-05-23 Jan Daciuk , Stoyan Mihov , Bruce Watson , Richard Watson

Finite Automata (FAs) are fundamental components in the domains of programming languages. For instance, regular expressions, which are pivotal in languages such as JavaScript and Python, are frequently implemented using FAs. Finite…

Formal Languages and Automata Theory · Computer Science 2025-09-16 Shuanglong Kan , Anthony W. Lin

This paper presents and analyzes an incremental algorithm for the construction of Acyclic Non-deterministic Finite-state Automata (NFA). Automata of this type are quite useful in computational linguistics, especially for storing lexicons.…

Data Structures and Algorithms · Computer Science 2007-05-23 Kyriakos N. Sgarbas , Nikos D. Fakotakis , George K. Kokkinakis

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

An analysis of the characteristic function of Gaussian quadratic forms is presented in [1] to study the performance of multichannel communication systems. This technical report reviews this analysis, obtaining alternative expressions to…

Information Theory · Computer Science 2012-12-04 Unai Fernández-Plazaola , Eduardo Martos-Naya , José F. Paris , José T. Entrambasaguas