Congruence-based proofs of the recognizability theorems for free many-sorted algebras-Reference-Cited by-同舟云学术

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Congruence-based proofs of the recognizability theorems for free many-sorted algebras

Published:2020-02-02 Issue:2 Volume:30 Page:561-633
ISSN:0955-792X
Container-title:Journal of Logic and Computation
language:en
Short-container-title:

Author:

Climent Vidal J¹,Cosme LlÓpez E²

Affiliation:

1. Departament de Lògica i Filosofia de la Ciència, Universitat de València, Av. Blasco Ibáñez, 30-7a, 46010 València, Spain

2. Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain

Abstract

Abstract We generalize several recognizability theorems for free single-sorted algebras to free many-sorted algebras and provide, in a uniform way and without using either regular tree grammars or tree automata, purely algebraic proofs of them based on congruences.

Funder

Agencia Estatal de Investigación

Ministerio de Ciencia, Innovación y Universidades

European Regional Development Fund

European Union

Publisher

Oxford University Press (OUP)

Subject

Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science

Link

http://academic.oup.com/logcom/article-pdf/30/2/561/33039967/exz032.pdf

Reference50 articles.

1. On pseudovarieties, varieties of languages, filters of congruences, pseudoidentities and related topics;Almeida;Algebra Universalis,1990

2. An Invitation to General Algebra and Universal Constructions

3. Algebraizable logics

4. Tree generating regular systems;Brainerd;Information and Control,1969

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