[图书][B] Combinatorics, automata and number theory

V Berthé, M Rigo - 2010 - books.google.com
This collaborative volume presents recent trends arising from the fruitful interaction between
the themes of combinatorics on words, automata and formal language theory, and number …

[图书][B] The logical approach to automatic sequences: Exploring combinatorics on words with Walnut

J Shallit - 2022 - books.google.com
Automatic sequences are sequences over a finite alphabet generated by a finite-state
machine. This book presents a novel viewpoint on automatic sequences, and more …

Enumeration and decidable properties of automatic sequences

É Charlier, N Rampersad, J Shallit - International Journal of …, 2012 - World Scientific
We show that various aspects of k-automatic sequences—such as having an unbordered
factor of length n—are both decidable and effectively enumerable. As a consequence it …

[图书][B] Formal languages, automata and numeration systems 1: Introduction to combinatorics on words

M Rigo - 2014 - books.google.com
Formal Languages, Automaton and Numeration Systems presents readers with a review of
research related to formal language theory, combinatorics on words or numeration systems …

[图书][B] Formal Languages, Automata and Numeration Systems 2: Applications to Recognizability and Decidability

M Rigo - 2014 - books.google.com
The interplay between words, computability, algebra and arithmetic has now proved its
relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite …

Parameterized model counting for string and numeric constraints

A Aydin, W Eiers, L Bang, T Brennan… - Proceedings of the …, 2018 - dl.acm.org
Recently, symbolic program analysis techniques have been extended to quantitative
analyses using model counting constraint solvers. Given a constraint and a bound, a model …

[PDF][PDF] Decidability of the HD0L ultimate periodicity problem

F Durand - … Informatics and Applications-Informatique Théorique et …, 2013 - numdam.org
In this paper we prove the decidability of the following problem: Input: Two finite alphabets A
and B, an endomorphism σ: A∗→ A∗, a word w∈ A∗ and a morphism φ: A∗→ B∗ …

Computing minimal separating DFAs and regular invariants using SAT and SMT solvers

D Neider - International Symposium on Automated Technology for …, 2012 - Springer
We develop a generic technique to compute minimal separating DFAs (deterministic finite
automata) and regular invariants. Our technique works by expressing the desired properties …

Fpsolve: A generic solver for fixpoint equations over semirings

J Esparza, M Luttenberger, M Schlund - International Journal of …, 2015 - World Scientific
We introduce FPSOLVE, an implementation of generic algorithms for solving fixpoint
equations over semirings. We first illustrate the interest of generic solvers by means of a …

A generalization of Semenov's theorem to automata over real numbers

B Boigelot, J Brusten, J Leroux - International Conference on Automated …, 2009 - Springer
This work studies the properties of finite automata recognizing vectors with real components,
encoded positionally in a given integer numeration base. Such automata are used, in …