Algebraic Language Theory for Eilenberg--Moore Algebras

We develop an algebraic language theory based on the notion of an Eilenberg--Moore algebra. In comparison to previous such frameworks the main contribution is the support for algebras with infinitely many sorts and the connection to logic in form of so-called `definable algebras'.

Bibliographic Details
Main Author: Achim Blumensath
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2021-04-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/6569/pdf
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author Achim Blumensath
author_facet Achim Blumensath
author_sort Achim Blumensath
collection DOAJ
description We develop an algebraic language theory based on the notion of an Eilenberg--Moore algebra. In comparison to previous such frameworks the main contribution is the support for algebras with infinitely many sorts and the connection to logic in form of so-called `definable algebras'.
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spelling doaj.art-22c2264c06f045f0aef6b0cc11a9d9d42024-03-08T10:33:57ZengLogical Methods in Computer Science e.V.Logical Methods in Computer Science1860-59742021-04-01Volume 17, Issue 210.23638/LMCS-17(2:6)20216569Algebraic Language Theory for Eilenberg--Moore AlgebrasAchim BlumensathWe develop an algebraic language theory based on the notion of an Eilenberg--Moore algebra. In comparison to previous such frameworks the main contribution is the support for algebras with infinitely many sorts and the connection to logic in form of so-called `definable algebras'.https://lmcs.episciences.org/6569/pdfcomputer science - formal languages and automata theory
spellingShingle Achim Blumensath
Algebraic Language Theory for Eilenberg--Moore Algebras
Logical Methods in Computer Science
computer science - formal languages and automata theory
title Algebraic Language Theory for Eilenberg--Moore Algebras
title_full Algebraic Language Theory for Eilenberg--Moore Algebras
title_fullStr Algebraic Language Theory for Eilenberg--Moore Algebras
title_full_unstemmed Algebraic Language Theory for Eilenberg--Moore Algebras
title_short Algebraic Language Theory for Eilenberg--Moore Algebras
title_sort algebraic language theory for eilenberg moore algebras
topic computer science - formal languages and automata theory
url https://lmcs.episciences.org/6569/pdf
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