Formal methods and formal models are important tools in software engineering. Formal methods provide unambiguous meaning of programs written in some language or constructed from modules. Moreover, they provide the basic mathematical techniques necessary for those who are working with theoretical background in computer science. Categories are interesting mathematical structures which have become important for constructing the models of programs and program systems. In this paper we formulate an introductory analysis of some aspects of component-based programming for selecting appropriate categorical structures as their models.
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