Editing Openai/693343d7-a38c-8012-a67c-11cbed4c0fd9 (section)

==== I confirm this synthesis does not contradict any prior chat artifacts and is consistent with them: ====
* Obatala Monad: monad (O, η, μ) and Kleisli/EM accounts preserved; Tree instance and Coq sketch remain valid. (Matches your earlier Coq sketch.)
* Category theory: Agt, fibration π : Obs → World, enriched profunctor Aff and composition via coends — matches prior deep-category elaboration.
* SDELang: reflect/bind/merge/sim semantics, lowering to Tree IR, operational rules — consistent with earlier SDELang embedding and operational fragments.
'' Platform naming & mapping: uses nandi-platform, kogi-'' apps and mapping exactly as requested.
* Homophily/heterophily: defined as AffScore and integrated into perception, memory, update laws, Obatala join semantics, and EM-algebras (all prior chat guidance honored).
* Proofs & assumptions: quantale V assumption and Fubini/coend use are the same as in our category-theory notes; associativity/unit proofs are the standard enriched coend arguments previously delivered.

If you’d like, I will now:
* produce a single master ASCII file containing this entire synthesis plus the earlier Coq .v file and SDELang IR in one bundle, or
* generate a formal Coq/Lean formalization of the enriched profunctor proofs + Tree Obatala monad + simple EM algebra (machine-checkable), or
* implement a reference runtime prototype (language: pick OCaml / TypeScript / Python) that implements Aff composition, O as Tree, and the matchmaker + simulator pipeline.

Pick one of: master-file, coq-formalize, runtime-proto (python|ocaml|ts) — and I’ll emit it immediately.