Difference between revisions of "Composability"
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[[Compositionality]] is the essence of [[Category Theory]], and the whole point of creating [[PKC]] to ensure that one can leverage the mathematical insights of [[Category Theory]] to construct and evolve [[PKC|personally-owned Knowledge Container]]s. Mathematically, it is conceptualized as a form of [[universal construction]], and in software engineering, it is often realized through [[universal data abstraction]], such as [[monad]]. In hardware, it is achieved by modeling hardware system as some compositions of a specific [[universal component]]s, such as [[Nand]] or [[Nor]] logic gates. | [[Compositionality]] is the essence of [[Category Theory]], and the whole point of creating [[PKC]] to ensure that one can leverage the mathematical insights of [[Category Theory]] to construct and evolve [[PKC|personally-owned Knowledge Container]]s. Mathematically, it is conceptualized as a form of [[universal construction]], and in software engineering, it is often realized through [[universal data abstraction]], such as [[monad]]. In hardware, it is achieved by modeling hardware system as some compositions of a specific [[universal component]]s, such as [[Nand]] or [[Nor]] logic gates. | ||
=Industrial Application of Compositionality= | |||
#[https://www.infoq.com/interviews/erik-meijer-linq/ LINQ] designed by Eric Meijer, is based on [[Monad]]. Meijer is a proponent of applying theoretical models to software design. His opinions can be found in this video<ref>{{:Video/Category Theory, The essence of interface-based design}}</ref>. | |||
<noinclude> | <noinclude> | ||
=References= | |||
<references/> | |||
==Related Pages== | ==Related Pages== | ||
*[[has LogicModel::PKC DevOps]] | *[[has LogicModel::PKC DevOps]] | ||
</noinclude> | </noinclude> | ||
Revision as of 13:44, 1 September 2021
Compositionality is the essence of Category Theory, and the whole point of creating PKC to ensure that one can leverage the mathematical insights of Category Theory to construct and evolve personally-owned Knowledge Containers. Mathematically, it is conceptualized as a form of universal construction, and in software engineering, it is often realized through universal data abstraction, such as monad. In hardware, it is achieved by modeling hardware system as some compositions of a specific universal components, such as Nand or Nor logic gates.
Industrial Application of Compositionality
- LINQ designed by Eric Meijer, is based on Monad. Meijer is a proponent of applying theoretical models to software design. His opinions can be found in this video[1].
References
- ↑ Meijer, Erik (Sep 10, 2015). Category Theory, The essence of interface-based design - Erik Meijer. local page: FooCafe Youtube Channel.