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Separating Regular Languages with First-Order Logic [PDF]

open access: yesLogical Methods in Computer Science, 2016
Given two languages, a separator is a third language that contains the first one and is disjoint from the second one. We investigate the following decision problem: given two regular input languages of finite words, decide whether there exists a first ...
Thomas Place, Marc Zeitoun
doaj   +7 more sources

Learning Regular Languages over Large Ordered Alphabets [PDF]

open access: yesLogical Methods in Computer Science, 2015
This work is concerned with regular languages defined over large alphabets, either infinite or just too large to be expressed enumeratively. We define a generic model where transitions are labeled by elements of a finite partition of the alphabet.
Irini-Eleftheria Mens, Oded Maler
doaj   +5 more sources

Quotient Complexity of Regular Languages [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2009
The past research on the state complexity of operations on regular languages is examined, and a new approach based on an old method (derivatives of regular expressions) is presented.
Janusz Brzozowski
doaj   +6 more sources

Regular languages and associative language descriptions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2007
The Associative Language Description model (ALD) is a combination of locally testable and constituent structure ideas. It is consistent with current views on brain organization and can rather conveniently describe typical technical languages such as ...
Marcella Anselmo   +2 more
doaj   +7 more sources

Boolean Circuit Complexity of Regular Languages [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
In this paper we define a new descriptional complexity measure for Deterministic Finite Automata, BC-complexity, as an alternative to the state complexity.
Maris Valdats
doaj   +4 more sources

Testing the Equivalence of Regular Languages [PDF]

open access: diamondElectronic Proceedings in Theoretical Computer Science, 2009
The minimal deterministic finite automaton is generally used to determine regular languages equality. Antimirov and Mosses proposed a rewrite system for deciding regular expressions equivalence of which Almeida et al.
Marco Almeida   +2 more
doaj   +3 more sources

Rate of Escape of Random Walks on Regular Languages and Free Products by Amalgamation of Finite Groups [PDF]

open access: greenDiscrete Mathematics & Theoretical Computer Science, 2008
We consider random walks on the set of all words over a finite alphabet such that in each step only the last two letters of the current word may be modified and only one letter may be adjoined or deleted.
Lorenz A. Gilch
doaj   +3 more sources

Complexity in Prefix-Free Regular Languages [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
We examine deterministic and nondeterministic state complexities of regular operations on prefix-free languages. We strengthen several results by providing witness languages over smaller alphabets, usually as small as possible.
Galina Jirásková, Monika Krausová
doaj   +4 more sources

Kleene Algebras, Regular Languages and Substructural Logics [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
We introduce the two substructural propositional logics KL, KL+ , which use disjunction, fusion and a unary, (quasi-)exponential connective. For both we prove strong completeness with respect to the interpretation in Kleene algebras and a variant thereof.
Christian Wurm
doaj   +4 more sources

Separating regular languages with two quantifier alternations [PDF]

open access: yesLogical Methods in Computer Science, 2018
We investigate a famous decision problem in automata theory: separation. Given a class of language C, the separation problem for C takes as input two regular languages and asks whether there exists a third one which belongs to C, includes the first one ...
Thomas Place
doaj   +3 more sources

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