Yon – a topos-oriented language with a content-addressed lattice heap

[flagged]

This is an incredibly refreshing piece of work. The decision to use a content-addressed heap over the Leech lattice Lambda_24 canonicalized under the Conway group Co_0 to achieve O(1) structural equality is brilliant, especially for compilers or symbolic reasoning engines.

In my own work with Genetic Programming and Symbolic Regression, memory layout and representation canonicalization are usually the ultimate bottlenecks. When evolving abstract syntax trees (ASTs), we spend an enormous amount of time checking for structural isomorphism or evaluating identical mathematical sub-expressions across islands. Standard hashing works, but pointer/handle comparison via global deduplication at the runtime level feels like a holy grail for symbolic AI.

I am curious about your choice of Lambda_24 over a more traditional high-dimensional cryptographic or geometric hash spatial partitioning. Did you encounter any edge cases where two structurally distinct categorical morphisms or high-density string contents mapped dangerously close to the same lattice point, or does the Conway group canonicalization guarantee enough dispersion to make collisions statistically impossible in practice?

Absolutely love the "Topos" MLIR dialect approach. Keeping an eye on this project!