A system(Q58778) is defined to be a collection of related things. Therefore, all systems can be defined as a tuple of set of things, and a set of relations.

A system  $S$  can be defined as a tuple:  $\{T,R\}$ ,

where

 $T$  is a collection of things,  $T=\{t|t\in T\}$  and 
 $R$  is a set of relations that relates two things  $t\in T$ .

Systems as Categories

Based on the above-mentioned definition, a system provides the data structure to represent categories. Furthermore, it is feasible to develop an Algebra of Systems^[1]^[2].

Related Pages

↑ Koo, Hsueh-Yung Benjamin; Simmons, Willard; Crawley, Edward (Nov 16, 2021). "Algebra of Systems as a Meta Language for Model Synthesis and Analysis" (PDF). local page: IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS.
↑ Fong, Brendan (2016). The Algebra of Open and Interconnected Systems (PDF) (Ph.D.). local page: University of Oxford. Retrieved October 15, 2021.

[1] Koo, Hsueh-Yung Benjamin; Simmons, Willard; Crawley, Edward (Nov 16, 2021). "Algebra of Systems as a Meta Language for Model Synthesis and Analysis" (PDF). local page: IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS.

[2] Fong, Brendan (2016). The Algebra of Open and Interconnected Systems (PDF) (Ph.D.). local page: University of Oxford. Retrieved October 15, 2021.

[1]

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System

Systems as Categories

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