this post was submitted on 25 Jul 2023
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Programming

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[โ€“] Corbin@programming.dev 1 points 1 year ago (1 children)

Conway's Law is a category-theoretic statement; it asserts the existence of a homomorphism on graphs, mapping from modules to code authors. Quoting Conway's original paper:

Speaking as a mathematician might, we would say that there is a homomorphism from the linear graph of a system to the linear graph of its design organization.

The author does not really show an understanding or respect for the underlying maths.

[โ€“] kogasa@programming.dev 2 points 1 year ago

Nothing to do with category theory. A homomorphism of linear graphs is a fairly concrete object, and Conway only uses graph theoretic terminology to clarify his semi-formal exposition. Dunno if I'd say there's much math not being respected.