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Defining Behaviours by Quasi-finality

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Bibliographic Details
Summary:This paper proposes a notion of quasi-final object for any concrete category, by relegating to the underlying category some of the requirements that final objects must satisfy in the main category. We present some very basic properties of quasi-final objects and show how known behaviours like traces and failures for transition systems, and behaviours extracted from the final sequence of an arbitrary endofunctor (here restricted to the first ω terms) can be described by quasi-final objects.
Main Authors:Freire, Elisabete Raposo
Other Authors:Monteiro, Luís
Subject:Formal Methods (Computer Science) Computer Software
Year:2009
Country:Portugal
Document type:book part
Access type:restricted access
Associated institution:Universidade dos Açores
Language:English
Origin:Repositório da Universidade dos Açores
Description
Summary:This paper proposes a notion of quasi-final object for any concrete category, by relegating to the underlying category some of the requirements that final objects must satisfy in the main category. We present some very basic properties of quasi-final objects and show how known behaviours like traces and failures for transition systems, and behaviours extracted from the final sequence of an arbitrary endofunctor (here restricted to the first ω terms) can be described by quasi-final objects.