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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

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

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

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

Regular expressions in an Automata Theory and Formal Languages course are mostly treated as a theoretical topic. That is, to some degree their mathematical properties and their role to describe languages is discussed. This approach fails to…

Programming Languages · Computer Science 2023-08-15 Marco T. Morazán

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

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

The equivalence of finite automata and regular expressions dates back to the seminal paper of Kleene on events in nerve nets and finite automata from 1956. In the present paper we tour a fragment of the literature and summarize results on…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Hermann Gruber , Markus Holzer

Many Formal Languages and Automata Theory courses introduce students to Turing machine extensions. One of the most widely-used extensions endows Turing machines with multiple tapes. Although multitape Turing machines are an abstraction to…

Formal Languages and Automata Theory · Computer Science 2025-08-06 Marco T. Morazán , Oliwia Kempinski , Andrés M. Garced

We present the open-source tool finsm.io, a tool for creating, simulating and exporting deterministic and non-deterministic finite state automata (DFA/NFA). We first describe the conceptual background on which the tool is based, followed by…

Computers and Society · Computer Science 2024-10-17 Christopher William Schankula , Lucas Dutton

In this article, we discuss a new software tool that interacts with Grail+, a library of automata-theoretic command-line utilities. Our software, the Grail+ Visualizer, takes the textual representation of a finite automaton produced by…

Formal Languages and Automata Theory · Computer Science 2024-04-05 Alastair May , Taylor J. Smith

Autoformalization has emerged as a term referring to the automation of formalization - specifically, the formalization of mathematics using interactive theorem provers (proof assistants). Its rapid development has been driven by progress in…

Artificial Intelligence · Computer Science 2025-12-16 Agnieszka Mensfelt , David Tena Cucala , Santiago Franco , Angeliki Koutsoukou-Argyraki , Vince Trencsenyi , Kostas Stathis

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

To deal with system uncertainty, finite automata have been generalized into fuzzy automata. Stamenkovic and Ciric proposed an approach using the position automata for the construction of fuzzy automata from fuzzy regular expressions. There…

Formal Languages and Automata Theory · Computer Science 2014-12-02 Rahul Kumar , Ajay Kumar

Numerous computer systems use dynamic control and data structures of unbounded size. These data structures have often the character of trees or they can be encoded as trees with some additional pointers. This is exploited by some currently…

Formal Languages and Automata Theory · Computer Science 2012-04-17 Ondřej Lengál

Regular languages are closed under a wealth of formal language operators. Incorporating such operators in regular expressions leads to concise language specifications, but the transformation of such enhanced regular expressions to finite…

Formal Languages and Automata Theory · Computer Science 2016-05-04 Peter Thiemann

Recently, the problem of obtaining a short regular expression equivalent to a given finite automaton has been intensively investigated. Algorithms for converting finite automata to regular expressions have an exponential blow-up in the…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Nelma Moreira , Davide Nabais , Rogério Reis

Finite automata (FA) are a fundamental computational abstraction that is widely used in practice for various tasks in computer science, linguistics, biology, electrical engineering, and artificial intelligence. Given an input word, an FA…

Artificial Intelligence · Computer Science 2026-04-22 Jaime Cuartas Granada , Alexey Ignatiev , Peter J. Stuckey

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

Autoformalization, the process of transforming informal mathematical propositions into verifiable formal representations, is a foundational task in automated theorem proving, offering a new perspective on the use of mathematics in both…

Artificial Intelligence · Computer Science 2025-07-04 Ke Weng , Lun Du , Sirui Li , Wangyue Lu , Haozhe Sun , Hengyu Liu , Tiancheng Zhang
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