Research-Stack/0-Core-Formalism
Brandon Schneider 5bd23d274b chore(lean): stub 6 Q16_16 arithmetic lemmas with TODO(lean-port)
FixedPoint.lean: add stubs for abs_triangle, sub_eq_add_neg,
mul_mono_left/right, add_le_add, abs_nonneg, abs_mul_le.
All blocked by the same core issue: calc/rw/omega fail on
ofRawInt-projected Int arithmetic after unfold mul/add/abs/neg.
The pattern that works in PistSimulation (unfold + Int.ediv_le_ediv
+ ofRawInt_toInt_eq_clamp + q16Clamp_monotone) fails here
because the goal structures differ.

Known-working pattern to finalize:
  1. unfold the Q16_16 op
  2. have h2 := raw Int inequality (Int.mul_le_mul_of_nonneg_*)
  3. have hdiv := Int.ediv_le_ediv (by norm_num) h2
  4. rw [ofRawInt_toInt_eq_clamp, ofRawInt_toInt_eq_clamp]
  5. exact q16Clamp_monotone _ _ hdiv

AGENTS.md: document 6 new TODO(lean-port) items in Pending Proof Work.

Build: 3313 jobs, 0 errors (lake build Compiler)
2026-05-27 16:35:53 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean chore(lean): stub 6 Q16_16 arithmetic lemmas with TODO(lean-port) 2026-05-27 16:35:53 -05:00
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
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