Research-Stack/0-Core-Formalism
Devin AI 5cacb86ddb feat(lean): close sidon_iff_zero_collision (both dirs) and erdos30_e8_conditional
Close 3 sorry tokens (forward, backward, erdos30):
- sidon_iff_zero_collision forward: double-inclusion proves filter = same∪swap,
  inclusion-exclusion gives card = (2k-1)k exactly.
- sidon_iff_zero_collision backward: cardinality squeeze shows filter = same∪swap
  when excess=0, then classify each element via same/swap membership.
- erdos30_e8_conditional: difference injection into Icc 1 N + trichotomy
  partition gives k(k-1) ≤ 2N, contraposition via nlinarith closes the bound.

E8Sidon sorry count: 9 → 6 (across 6 theorems).
All remaining sorries documented with TODO(lean-port).

Build: 3572 jobs, 0 errors (lake build)
Co-Authored-By: Allaun Silverfox <bigdataiscoming+9i37y6j2@protonmail.com>
2026-06-15 23:10:53 +00:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean feat(lean): close sidon_iff_zero_collision (both dirs) and erdos30_e8_conditional 2026-06-15 23:10:53 +00:00
otom Add Phys.org May 2026 source intake for bees, biocoatings, THz, and diamond membranes 2026-05-23 19:27:37 -05:00
receipts docs: add bio optical witness living light equations 2026-05-09 20:53:51 -05:00
rust/ftdi_gimbal initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
scripts chore: commit accumulated working tree changes 2026-05-30 00:10:02 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00

0-Core-Formalism

Purpose: Formal foundations for the entire Research Stack — Lean modules, bind primitive, Triumvirate consensus, core source.

No external dependencies. All other layers depend on this.

Contents (Target)

Source Destination
0-Core-Formalism/lean/Semantics/ 0-Core-Formalism/lean/Semantics/
core/ 0-Core-Formalism/core/

Concepts

  • bind — State → (State → Action) → State
  • TriumvirateClock — ternary consensus (ADD/PAUSE/SUBTRACT)
  • Builder/Judge/Warden — roles mapped to hardware registers
  • OTOM — Ordered Transformation & Orchestration Model

Build

cd "0-Core-Formalism"
lake build