cubical-transport-hott-lean4/docs
Maximus Gorog 915b7b3b68
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REL2 plan: interval primitive → Bridge → K7 cubical encoding
Detailed three-phase plan for the next stratum past REL1:

  1. CType.interval primitive (1-2d) — the river-bed under every
     dim-flowing computation.  Promotes .dimExpr from .univ
     placeholder to .interval typing.

  2. Bridge.lean (Eq ↔ Path interop, 3-5d) — the ferry between
     Lean's discrete equality and the embedded cubical Path.
     Default CubicalEmbed instances for Bool, Nat, List, Prod;
     forward bridge always available, backward restricted to
     neutral-free paths in REL2.0 (full Glue NbE deferred to
     REL2.1).

  3. paideia K7 literal cubical encoding (5-10d) — the carrying
     load.  Replaces MathPath p₀ p₁ with a CTerm-typed
     Path between two embedded MasteryProvenance traces.
     Closes engine issue #1 with the originating use case.

Covers acceptance criteria, risk register, sequencing graph
(engine → topolei → paideia, no cycle), Rust ABI bump 2→3,
post-REL2 deferral list (REL2.1 Glue NbE / pointwise dist,
REL3 numerical layer, REL3+ higher cells, REL4 GPU/interaction).

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
2026-04-30 18:36:58 -06:00
..
FFI_COMPLETENESS.md Reorganize: move non-README docs into docs/ subfolder 2026-04-27 22:57:10 -06:00
FFI_DESIGN.md Reorganize: move non-README docs into docs/ subfolder 2026-04-27 22:57:10 -06:00
INDUCTIVE_TYPES.md REL1: design doc for schema-based inductive + HIT CTypes 2026-04-30 14:57:22 -06:00
KERNEL_BOUNDARY.md Reorganize: move non-README docs into docs/ subfolder 2026-04-27 22:57:10 -06:00
NUMERICAL.md Reorganize: move non-README docs into docs/ subfolder 2026-04-27 22:57:10 -06:00
PHASE1_HISTORY.md Reorganize: move non-README docs into docs/ subfolder 2026-04-27 22:57:10 -06:00
REL2_PLAN.md REL2 plan: interval primitive → Bridge → K7 cubical encoding 2026-04-30 18:36:58 -06:00
ZIGZAG_PORT.md Reorganize: move non-README docs into docs/ subfolder 2026-04-27 22:57:10 -06:00