Concrete constructions of noncommutative free dcpo semigroups

Free dcpo semigroups play an important role in modeling the semantics of nondeterministic programming languages. In this paper, we provide concrete constructions for free dcpo semigroups, free domain bands (with additional inequalities), and free dcpo groups. They are the noncommutative generalizations of the classical Plotkin (Smyth, Hoare) powerdomains.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-01-09
DOI
https://doi.org/10.1142/s0219498826501318
Primary Topic
Machine Learning and Algorithms
Type
article
Field-Weighted Citation Impact
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article

Concrete constructions of noncommutative free dcpo semigroups

Wei Luan, Cheng Zhou, Qingguo Li
Journal of Algebra and Its Applications
Machine Learning and Algorithms
article

Concrete constructions of noncommutative free dcpo semigroups

Wei Luan, Cheng Zhou, Qingguo Li
article en

Abstract

Free dcpo semigroups play an important role in modeling the semantics of nondeterministic programming languages. In this paper, we provide concrete constructions for free dcpo semigroups, free domain bands (with additional inequalities), and free dcpo groups. They are the noncommutative generalizations of the classical Plotkin (Smyth, Hoare) powerdomains.

Journal of Algebra and Its Applications
Hunan University (CN), Hunan Normal University (CN)
Sustainable cities and communities
Openalex Percentile: Top 100%
Machine Learning and Algorithms
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