Duality and Regular Languages

Name: Duality and Regular Languages
Brand: Edizioni Accademiche Italiane
SKU: 9783330779570
Price: 173.32 RON
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Main relations existing between Duality and Regular Languages

Autor: Riccardo Dalla Mora

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Legare: Carte broșată

Editura: Edizioni Accademiche Italiane

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In this work we analyse the class of regular languages from an algebraic point of view. There exist...

Informații despre carte

Autor

Riccardo Dalla Mora

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2017

Pagini

EAN

9783330779570

Enbook ID

15806747

Editura

Edizioni Accademiche Italiane

Greutate

107

Dimensiuni

150 x 220 x 5

Descriere completă

In this work we analyse the class of regular languages from an algebraic point of view. There exist interesting relations between regular languages and algebraic structures like monoids, Boolean algebras, lattices and varieties of algebras. In particular we focuse on finite monoids. In fact, a language L is regular if there exists a homomorphism from the free monoid A of the words onto a finite monoid in such a way that L is the inverse image of a subset of the monoid. Monoids can be used to define a metric over A , whose completion defines the Boolean space of profinite words, where a profinite word is a Cauchy sequence of words of A . The Priestly duality between the Boolean space of profinite words and the Boolean algebra of its clopen subsets can be used to prove the following theorems: 1. A class of languages is a Boolean algebra of languages iff the class can be defined by a set of profinite equations; 2. A language is regular if its closure is clopen in the Boolean space of profinite words; 3. String concatenation is the dual operation of the residuals of right/left product on the Boolean algebra of regular languages.

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Duality and Regular Languages

Main relations existing between Duality and Regular Languages

Informații despre carte

Descriere completă

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