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Jonathan D.A. Jewell <j.d.a.jewell@open.ac.uk> :toc: :icons: font

Tip

AI agents: read 0-AI-MANIFEST.a2ml first, then .machine_readable/6a2/STATE.a2ml.

What This Is

ideas-to-alphas is the incubator of the hyperpolymath type theory pipeline: the theory→practice stage where a finding from the lab (kategoria) is matured from idea to alpha before it earns its own production (typed) repo.

Note

This repo is mid-rename. The GitHub repo and local directory are still named kategoria-pipeline until the owner runs gh repo rename ideas-to-alphas (+ local mv). The role split — lab = kategoria (research/discovery), incubator = this repo (idea→alpha), portal = nextgen-typing (front-page on-ramp for people) — is captured in dev-notes/2026-06-16-typing-sub-estate-roles-and-lifecycle.adoc. Also update project = "katagoria" → "ideas-to-alphas" in .machine_readable/6a2/STATE.a2ml at rename time.

Pipeline Position

katagoria  →  typell  →  typed-wasm  →  PanLL
(this repo)   (kernel)   (target)    (eNSAID env)

katagoria is upstream of everything. Ideas here are speculative: proofs-of-concept, reading notes, prototype Idris2/Lean formalizations. They graduate to typell when they are ready to be integrated into the production verification kernel.

Coordination monorepo: nextgen-typing

What Lives Here

  • Type theory prototypes — Idris2, Lean 4, Agda proofs-of-concept

  • Research notes on papers being read and formalized

  • Experimental level definitions for the TypeLL open-ended progression

  • Speculative session type extensions (multi-party, probabilistic, temporal)

  • Tropical type theory experiments (connections to protocol-squisher)

What Does NOT Live Here

  • Production Rust code — goes in typell

  • WasmGC type safety proofs — goes in typed-wasm

  • Anything with stability guarantees — this repo is deliberately unstable

Relationship to TypeLL

TypeLL is an open-ended progressive type safety framework. The current L1-L10 implementation in typell was designed here first, then graduated. Future levels (L11, L12, …) will originate here before promotion.

There is no fixed ceiling. katagoria is where the ceiling gets pushed.

Status

Pre-alpha. Newly created (2026-04-11). Research artefacts will accumulate over time.

License

MPL-2.0

Copyright (c) 2026 Jonathan D.A. Jewell (hyperpolymath) <j.d.a.jewell@open.ac.uk>