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Deterministic and nondeterministic finite automata (DFAs and NFAs) are abstract models of computation commonly taught in introductory computing theory courses. These models have important applications (such as fast regular expression…

Computers and Society · Computer Science 2024-05-06 Eliot Wong Robson , Sam Ruggerio , Jeff Erickson

This article presents a visualization tool for designing and debugging deterministic finite-state machines in FSM -- a domain specific language for the automata theory classroom. Like other automata visualization tools, users can edit…

Human-Computer Interaction · Computer Science 2020-08-24 Marco T. Morazán , Joshua M. Schappel , Sachin Mahashabde

The transformation of a nondeterministic finite-state automaton into a deterministic finite-state automaton is an integral part of any course on formal languages and automata theory. For some students, understanding this transformation is…

Formal Languages and Automata Theory · Computer Science 2023-10-24 Tijana Minic , Marco T. Morazán

Most Formal Languages and Automata Theory courses explore the duality between computation models to recognize words in a language and computation models to generate words in a language. For students unaccustomed to formal statements, these…

Formal Languages and Automata Theory · Computer Science 2024-07-12 Marco T. Morazán , Tijana Minić

Finite State Machines are a concept widely taught in undergraduate theory of computing courses. Educators typically use tools with static representations of FSMs to help students visualize these objects and processes; however, all existing…

Computers and Society · Computer Science 2024-09-27 Sierra Zoe Bennett-Manke , Sebastian Neumann , Ryan E. Dougherty

In Formal Languages and Automata Theory courses, students find understanding nondeterministic finite-state and pushdown automata difficult. In many cases, this means that it is challenging for them to comprehend the operational semantics of…

Formal Languages and Automata Theory · Computer Science 2025-08-06 Marco T. Morazán , David Anthony K. Fields , Andrés M. Garced , Tijana Minić

We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

Formal Languages and Automata Theory · Computer Science 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

Students find their first course in Formal Languages and Automata Theory challenging. In addition to the development of formal arguments, most students struggle to understand nondeterministic computation models. In part, the struggle stems…

Programming Languages · Computer Science 2023-10-24 Oliwia Kempinski , Marco T. Morazán

The concept of Deterministic Finite Cover Automata (DFCA) was introduced at WIA '98, as a more compact representation than Deterministic Finite Automata (DFA) for finite languages. In some cases representing a finite language,…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Cezar Câmpeanu

Non-deterministic Finite Automata (NFA) represent regular languages concisely, increasing their appeal for applications such as word recognition. This paper proposes a new approach to generate NFA from an interaction language such as UML…

Formal Languages and Automata Theory · Computer Science 2023-08-04 Erwan Mahe , Boutheina Bannour , Christophe Gaston , Arnault Lapitre , Pascale Le Gall

We examine questions involving nondeterministic finite automata where all states are final, initial, or both initial and final. First, we prove hardness results for the nonuniversality and inequivalence problems for these NFAs. Next, we…

Computational Complexity · Computer Science 2009-07-03 Jui-Yi Kao , Narad Rampersad , Jeffrey Shallit

We present a new algorithm IDS for incremental learning of deterministic finite automata (DFA). This algorithm is based on the concept of distinguishing sequences introduced in (Angluin81). We give a rigorous proof that two versions of this…

Machine Learning · Computer Science 2012-06-14 Muddassar A. Sindhu , Karl Meinke

We propose DFAMiner, a passive learning tool for learning minimal separating deterministic finite automata (DFA) from a set of labelled samples. Separating automata are an interesting class of automata that occurs generally in regular model…

Formal Languages and Automata Theory · Computer Science 2024-05-30 Daniele Dell'Erba , Yong Li , Sven Schewe

In this work, we introduce DeepDFA, a novel approach to identifying Deterministic Finite Automata (DFAs) from traces, harnessing a differentiable yet discrete model. Inspired by both the probabilistic relaxation of DFAs and Recurrent Neural…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Roberto Capobianco

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

An introductory formal languages course exposes advanced undergraduate and early graduate students to automata theory, grammars, constructive proofs, computability, and decidability. Programming students find these topics to be challenging…

Formal Languages and Automata Theory · Computer Science 2014-12-17 Marco T. Morazán , Rosario Antunez

Finite state automata (FSA) are ubiquitous in computer science. Two of the most important algorithms for FSA processing are the conversion of a non-deterministic finite automaton (NFA) to a deterministic finite automaton (DFA), and then the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-30 Vlad Slavici , Daniel Kunkle , Gene Cooperman , Stephen Linton

Complementation of finite automata is a basic operation used in numerous applications. The standard way to complement a nondeterministic finite automaton (NFA) is to transform it into an equivalent deterministic finite automaton (DFA) and…

Formal Languages and Automata Theory · Computer Science 2025-07-16 Lukáš Holík , Ondřej Lengál , Juraj Major , Adéla Štěpková , Jan Strejček

A quantum finite-state automaton (QFA) is a theoretical model designed to simulate the evolution of a quantum system with finite memory in response to sequential input strings. We define the language of a QFA as the set of strings that lead…

Computation and Language · Computer Science 2024-07-04 SeungYeop Baik , Sicheol Sung , Yo-Sub Han

We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness…

Mathematical Software · Computer Science 2012-05-15 Anders Logg , Garth N. Wells
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