Typing.lean: minimal-viable typing rules for the three new CTerm
constructors (REL1 first cut; REL2 will refine to dependent
formulations).
- HasType.ctor : .ctor S c params args : .ind S params
(no per-arg premises; runtime enforces)
- HasType.indElim : non-dependent form — motive : .pi (.ind …) C,
result : C; branch coherence checked at eval
- HasType.dimExpr : placeholder typing at .univ (real interval-
typing requires a CType.interval primitive,
deferred to REL2)
HasType.weaken_core extended with the three new arms.
TransportLaws.lean: derived theorems for transport over .ind (T1,
T2, stuck), all reducing to existing axioms (eval_transp_top,
eval_transp_const, eval_transp_nonpath + vTransp_stuck). Pointwise
distribution through ctor args is REL1.1 future work.
CompLaws.lean: derived theorems for composition over .ind (C1, C2,
const-line, stuck) — corollaries of the existing eval_comp_*
axioms. Same REL1.1 deferral for pointwise distribution.
native/cubical/src/subst.rs: critical Rust fix. The previous
fallback `_ => mk_term_var(ctor_field(t, 0))` corrupted the new
TERM_DIMEXPR / TERM_CTOR / TERM_INDELIM tags by extracting field 0
(a CTypeSchema for ctor) and wrapping it as a malformed .var,
causing infinite recursion / OOM in subst-driven paths
(eval_comp_top calls substDim). Proper arms for all three new
tags + cterm_subst_dim_list and cterm_subst_dim_branches helpers.
Unknown-tag fallback now safely returns the input unchanged
instead of synthesising a malformed .var.
FFITest.lean: three new smoke arms exercising T1/T2 transport and
C1 composition over .ind natC. Result: 28/28 smoke + 46/46
properties = 74/74.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
- 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>
