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Grammatical inference consists in learning a formal grammar as a finite state machine or as a set of rewrite rules. In this paper, we are concerned with inferring Nondeterministic Finite Automata (NFA) that must accept some words, and…

Artificial Intelligence · Computer Science 2023-03-17 Tomasz Jastrzab , Frédéric Lardeux , Eric Monfroy

We present an algorithm to generate positive braids of a given length as words in Artin generators with a uniform probability. The complexity of this algorithm is polynomial in the number of strands and in the length of the generated…

Group Theory · Mathematics 2012-07-24 Volker Gebhardt , Juan González-Meneses

Context-free grammars (CFGs) are the de-facto formalism for declaratively describing concrete syntax for programming languages and generating parsers. One of the major challenges in defining a desired syntax is ruling out all possible…

Programming Languages · Computer Science 2026-02-23 Yunjeong Lee , Gokul Rajiv , Ilya Sergey

We study ideal languages generated by a single word. We provide an algorithm to construct a strongly connected synchronizing automaton for which such a language serves as the language of synchronizing words. Also we present a compact…

Formal Languages and Automata Theory · Computer Science 2013-04-12 Vladimir V. Gusev , Marina I. Maslennikova , Elena V. Pribavkina

Engelfriet and Vereijken have shown that linear graph grammars based on hyperedge replacement generate graph languages that can be considered as interpretations of regular string languages over typed symbols. In this paper we show that…

Formal Languages and Automata Theory · Computer Science 2025-03-27 Frank Drewes , Berthold Hoffmann , Mark Minas

Keyword search provides ordinary users an easy-to-use interface for querying RDF data. Given the input keywords, in this paper, we study how to assemble a query graph that is to represent user's query intention accurately and efficiently.…

Databases · Computer Science 2017-08-28 Shuo Han , Lei Zou , Jeffrey Xu Yu , Dongyan Zhao

Bringing high-level machine learning models to efficient and well-suited machine implementations often invokes a bunch of tools, e.g.~code generators, compilers, and optimizers. Along such tool chains, abstractions have to be applied. This…

Machine Learning · Computer Science 2024-04-11 Daniel Biebert , Christian Hakert , Kuan-Hsun Chen , Jian-Jia Chen

We consider two natural problems about nondeterministic finite automata. First, given such an automaton M of n states, and a length l, does M accept a word of length l? We show that the classic problem of triangle-free graph recognition…

Formal Languages and Automata Theory · Computer Science 2018-02-14 Aaron Potechin , Jeffrey Shallit

We show that there are quantum devices that accept all regular languages and that are exponentially more concise than deterministic finite automata (DFA). For this purpose, we introduce a new computing model of {\it one-way quantum finite…

Quantum Physics · Physics 2013-05-21 Daowen Qiu , Lvzhou Li , Paulo Mateus , Amilcar Sernadas

We propose an automaton model which is a combination of symbolic and register automata, i.e., we enrich symbolic automata with memory. We call such automata Register Match Automata (RMA). RMA extend the expressive power of symbolic…

Formal Languages and Automata Theory · Computer Science 2018-06-12 Elias Alevizos , Alexander Artikis , Georgios Paliouras

Let $G$ be a finite group generated by $k$ elements. The well-known product replacement algorithm provides an effective method for sampling generating sets of $G$. We study a refinement of this algorithm that is designed to output…

Group Theory · Mathematics 2025-12-23 Michał Marcinkowski , Piotr Mizerka

Given a finite directed graph, a coloring of its edges turns the graph into a finite-state automaton. A k-synchronizing word of a deterministic automaton is a word in the alphabet of colors at its edges that maps the state set of the…

Formal Languages and Automata Theory · Computer Science 2022-06-16 A. N. Trahtman

Determinisation and completion of finite tree automata are important operations with applications in program analysis and verification. However, the complexity of the classical procedures for determinisation and completion is high. They are…

Formal Languages and Automata Theory · Computer Science 2017-11-02 John P. Gallagher , Mai Ajspur , Bishoksan Kafle

We examine aspects of the computation of finite element matrices and vectors which are made possible by automated code generation. Given a variational form in a syntax which resembles standard mathematical notation, the low-level computer…

Mathematical Software · Computer Science 2011-04-04 Kristian B. Ølgaard , Garth N. Wells

We prove that the group of reversible cellular automata (RCA), on any alphabet $A$, contains a subgroup generated by three involutions which contains an isomorphic copy of every finitely generated group of RCA on any alphabet $B$. This…

Group Theory · Mathematics 2023-05-09 Ville Salo

We study ranked enumeration of join-query results according to very general orders defined by selective dioids. Our main contribution is a framework for ranked enumeration over a class of dynamic programming problems that generalizes…

Databases · Computer Science 2020-09-15 Nikolaos Tziavelis , Deepak Ajwani , Wolfgang Gatterbauer , Mirek Riedewald , Xiaofeng Yang

In this paper the notion of quantum finite one-counter automata (QF1CA) is introduced. Introduction of the notion is similar to that of the 2-way quantum finite state automata by A.Kondacs and J.Watrous. The well-formedness conditions for…

Quantum Physics · Physics 2007-05-23 Maksim Kravtsev

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

Families of DFAs (FDFAs) provide an alternative formalism for recognizing $\omega$-regular languages. The motivation for introducing them was a desired correlation between the automaton states and right congruence relations, in a manner…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Dana Angluin , Udi Boker , Dana Fisman

This papers presents a general framework for the uniform random generation of deterministic real-time accessible pushdown automata. A polynomial time algorithm to randomly generate a pushdown automaton having a fixed stack operations total…

Formal Languages and Automata Theory · Computer Science 2016-03-26 Pierre-Cyrille Héam , Jean-Luc Joly