- TRANSPORT_PLAN.md → PHASE1_HISTORY.md with archival header.
Path references updated from `Topolei/Cubical/*` to
`CubicalTransport/*` to match the post-split namespace.
Methodology preserved as a template for future formalisation phases.
- ZIGZAG_PORT.md moved here from topolei. This is engine code: the
port lands in `CubicalTransport/Zigzag/`, and an AI shortcut on
normalisation, degeneracy, or signature-typechecking would
cascade-corrupt every higher-cell proof in topolei. Added a
cascade caveat header explaining how engine-level zigzag changes
ripple back into the topolei interface repo. Body updated for
split context.
- KERNEL_BOUNDARY.md: clarified that the planned `Eq ↔ Path` bridge
module is distinct from the existing trace bridge
(`Topolei/Cubical/Trace.lean` in topolei).
- README.md: refreshed Reference section with renames + new docs.
- native/cubical/README.md: path refs updated.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
Implements the cells-spec vision: a computation space that preserves
auditability, correctness, interactivity. Phase 1 (Lean kernel +
naga-IR Rust backend) is closed; foundation hypothesis stack
(Selection H1+H2, Subobject H3, Trace H5, Obs.Ctx C2, Cubical.Trace)
landed.
Highlights:
- Cubical-HoTT syntax + value/eval/readback in Lean
- naga-IR pipeline (no GLSL string crosses FFI; 17/17 probes pass)
- Honesty audit: every non-transport (sealed cells, vertex shader,
Y-flip, presentation conventions) is documented as such
- Polymorphic Trace α as free monoid; Cubical.Trace gives
CTerm → Trace CTerm by structural fold (homomorphism = definition)
- Selection as Huet zipper; Subobject as Boolean algebra over WCell
- All theorems proven; the proof IS the implementation
See STATUS.md for the resume guide.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
