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Openai/693343d7-a38c-8012-a67c-11cbed4c0fd9
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=== The Obatala Monad O is an expressive algebraic abstraction for nested, meta-level agency, organizational closure, and self-referential simulation. This calculus provides: === * monadic foundations (Kleisli & EM), * algebraic signature & equational theory, * operational embedding into SDELang / typed Ξ»-calculi, * recipes for combining with standard effects, * concrete implementations via trees and transformers, * semantics for organizations as O-algebras (handlers). If you want, I can immediately: * produce a machine-checked Coq/Lean formalization of O (definitions, monad laws, simple instances), * generate SDELang code + compiler fragments that implement O as a free monad tree with StateT/DistT examples, * derive categorical proofs of distributive law existence for Reader and State in specific instances, * produce a walkthrough mapping O constructs to Nandi/Kogi runtime services and SDO artifacts. Say y plus which follow-up you want (Coq/Lean, SDELang code, runtime mapping, or proofs of a particular distributive law).
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