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March 13, 2012 / porton

Circuitoids, a Generalization of Categories

Circuitoids are a generalization of a category where each morphisms has an arbitrary (possibly infinite) number of arguments. Two morphisms are not required to have the same number of arguments.

See this manuscript where I first define circuitoids.

I haven’t (yet) defined some notion of associativity for circuitoids. This may be a topic of our future research.


One Comment

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  1. porton / Mar 15 2012 23:41

    My attempt to generalize some things I research in terms of circuitoids was a blind valley.

    I’ll better analyze every case separately, not to try to generalize all in one formula about circuitoids. Such generalization has little benefit.

    I think I wrote that short article about circuitoids in vain.

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