Two systems are isomorphic when they admit the same morphisms—when the set of valid transformations applicable to one equals those applicable to the other.
If Hom(X, DNS) ≅ Hom(X, Filesystem) for all relevant X, then DNS ≅ Filesystem.
Wherein we prove it is
gloyoyo•1mo ago
These DNSFS implementations make me giggle.
Yeah, someone, somewhere is using it to at least run a website or something.
Hacker praise!
graemefawcett•1mo ago
I had a sickie yesterday with nothing better to do than attempt to prove isomorphism across domains
Like drawing lines on a mids menu but for grown ups when the price is right isn't on
graemefawcett•1mo ago
If Hom(X, DNS) ≅ Hom(X, Filesystem) for all relevant X, then DNS ≅ Filesystem.
Wherein we prove it is