On symmetric *-λ-semirings
Hui Zhang
Abstract
Hui Zhang
Abstract
Kleene algebra is fundamental and ubiquitous in computer science.In computer engineering and applications,Kleene algebra and related *-semirings have been used successfully in various fields such as basic safety analysis,low-level program transformations and concurrency control.In this paper,the notion of symmetric *-λ-semirings is introduced and equivalent characterization of symmetric *-λ-semirings is given.Moreover,it is pointed out that symmetric *-λ-semirings extend the notion of Kleene algebras.
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Kleene algebra is fundamental and ubiquitous in computer science.In computer engineering and applications,Kleene algebra and related *-semirings have been used successfully in various fields such as basic safety analysis,low-level program transformations and concurrency control.In this paper,the notion of symmetric *-λ-semirings is introduced and equivalent characterization of symmetric *-λ-semirings is given.Moreover,it is pointed out that symmetric *-λ-semirings extend the notion of Kleene algebras.
Key concepts: Kleene algebra, Concurrency, Algebra over a field, Computer science, Mathematics, Pure mathematics, Discrete mathematics, Programming language