Difference between revisions of "Kan Extension"
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This video<ref>{{:Video/Category Theory For Beginners: Kan Extensions}}</ref> is close to 6 hours of lengthy explanation. A large number of examples are presented in these hours. | This video<ref>{{:Video/Category Theory For Beginners: Kan Extensions}}</ref> is close to 6 hours of lengthy explanation. A large number of examples are presented in these hours. | ||
{{#ev:youtube|g_jEEwrpm9c|||||start= | This is about the time he started to formally introduce Kan Extensions. | ||
{{#ev:youtube|g_jEEwrpm9c|||||start=13600}} | |||
<noinclude> | <noinclude> | ||
Revision as of 09:46, 6 December 2021
Kan extension is a universal construct of generalized data type defined in Category Theory.
Proposed Application
Conceptually, we can use Kan Extension to generalize logic gates, specifically, two inputs, one output gates.
There are a total of 16 possible 2-input, 1-output, logic gates. They should be generalizable and represented using Kan Extension.
Some useful tutorial on this subject
MathProofsable
{{#ev:youtube|r4_wGxi94jg|||||}}
Richard Southwell on Kan Extensions
This video[1] is close to 6 hours of lengthy explanation. A large number of examples are presented in these hours.
This is about the time he started to formally introduce Kan Extensions. {{#ev:youtube|g_jEEwrpm9c|||||start=13600}}
References
- ↑ Southwell, Richard (Jun 28, 2021). Category Theory For Beginners: Kan Extensions. local page: Richard Southwell.