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Affine finite automata (AfA) can be more succinct than probabilistic and quantum finite automata when recognizing some regular languages with bounded-error. In this paper, we improve previously known constructions given for the succinctness…

Formal Languages and Automata Theory · Computer Science 2021-07-01 Abuzer Yakaryılmaz

We report some further developments regarding the language theory of higher-dimensional automata (HDAs). Regular languages of HDAs are sets of finite interval partially ordered multisets (pomsets) with interfaces. We show a pumping lemma…

Formal Languages and Automata Theory · Computer Science 2024-07-19 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Krzysztof Ziemiański

Pre-trained contextualized language models (PrLMs) have led to strong performance gains in downstream natural language understanding tasks. However, PrLMs can still be easily fooled by adversarial word substitution, which is one of the most…

Computation and Language · Computer Science 2021-06-01 Rongzhou Bao , Jiayi Wang , Hai Zhao

We present efficient algorithms to reduce the size of nondeterministic B\"uchi word automata (NBA) and nondeterministic finite word automata (NFA), while retaining their languages. Additionally, we describe methods to solve PSPACE-complete…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Lorenzo Clemente , Richard Mayr

Alloy and TLA+ are two formal specification languages that are increasingly popular due to their simplicity and flexibility, as well as the effectiveness of their companion model checkers, the Alloy Analyzer and TLC, respectively.…

Software Engineering · Computer Science 2016-03-14 Nuno Macedo , Alcino Cunha

An attractive mechanism to specify global constraints in rostering and other domains is via formal languages. For instance, the Regular and Grammar constraints specify constraints in terms of the languages accepted by an automaton and a…

Artificial Intelligence · Computer Science 2009-03-04 George Katsirelos , Nina Narodytska , Toby Walsh

When eating spaghetti, one should have the sauce and noodles mixed instead of eating them separately. We argue that also in string solving, word equations and regular constraints are better mixed together than approached separately as in…

Logic in Computer Science · Computer Science 2022-12-06 František Blahoudek , Yu-Fang Chen , David Chocholatý , Vojtěch Havlena , Lukáš Holík , Ondřej Lengál , Juraj Síč

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

We explore the idea of using finite automata to implement new constraints for local search (this is already a successful technique in constraint-based global search). We show how it is possible to maintain incrementally the violations of a…

Artificial Intelligence · Computer Science 2009-10-08 Jun He , Pierre Flener , Justin Pearson

Sequence generation and prediction form a cornerstone of modern machine learning, with applications spanning natural language processing, program synthesis, and time-series forecasting. These tasks are typically modeled in an autoregressive…

Machine Learning · Computer Science 2025-11-05 Vincenzo Collura , Karim Tit , Laura Bussi , Eleonora Giunchiglia , Maxime Cordy

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

Regular expressions (res), because of their succinctness and clear syntax, are the common choice to represent regular languages. However, efficient pattern matching or word recognition depend on the size of the equivalent nondeterministic…

Formal Languages and Automata Theory · Computer Science 2010-09-21 Hugo Gouveia , Nelma Moreira , Rogério Reis

We present two novel algorithms for learning formulas in Linear Temporal Logic (LTL) from examples. The first learning algorithm reduces the learning task to a series of satisfiability problems in propositional Boolean logic and produces a…

Logic in Computer Science · Computer Science 2018-10-05 Daniel Neider , Ivan Gavran

We present an efficient algorithm to reduce the size of nondeterministic tree automata, while retaining their language. It is based on new transition pruning techniques, and quotienting of the state space w.r.t. suitable equivalences. It…

Formal Languages and Automata Theory · Computer Science 2016-01-07 Ricardo Almeida , Lukáš Holík , Richard Mayr

This thesis is focused on techniques for finite automata and their use in practice, with the main emphasis on nondeterministic tree automata. This concerns namely techniques for size reduction and language inclusion testing, which are two…

Formal Languages and Automata Theory · Computer Science 2017-06-13 Lukáš Holík

As software-intensive systems face growing pressure to comply with laws and regulations, providing automated support for compliance analysis has become paramount. Despite advances in the Requirements Engineering (RE) community on legal…

Software Engineering · Computer Science 2024-04-23 Shabnam Hassani , Mehrdad Sabetzadeh , Daniel Amyot , Jain Liao

We observe that the classical Cartesian product construction for the intersection of (languages of) nondeterministic finite automata (NFA) is non-optimal in the worst case, if the automata have many transitions. For a fixed alphabet, the…

Formal Languages and Automata Theory · Computer Science 2026-05-21 Dmitry Chistikov , Neha Rino

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

We study the task, for a given language $L$, of enumerating the (generally infinite) sequence of its words, without repetitions, while bounding the delay between two consecutive words. To allow for delay bounds that do not depend on the…

Formal Languages and Automata Theory · Computer Science 2023-01-10 Antoine Amarilli , Mikaël Monet