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'.
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Format: | Article |
Language: | English |
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Logical Methods in Computer Science e.V.
2021-04-01
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Series: | Logical Methods in Computer Science |
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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'. |
first_indexed | 2024-04-25T01:34:12Z |
format | Article |
id | doaj.art-22c2264c06f045f0aef6b0cc11a9d9d4 |
institution | Directory Open Access Journal |
issn | 1860-5974 |
language | English |
last_indexed | 2024-04-25T01:34:12Z |
publishDate | 2021-04-01 |
publisher | Logical Methods in Computer Science e.V. |
record_format | Article |
series | Logical Methods in Computer Science |
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 |
work_keys_str_mv | AT achimblumensath algebraiclanguagetheoryforeilenbergmoorealgebras |