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Research-Stack/0-Core-Formalism
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Brandon Schneider 7faed2de0e feat(lean): add ofRawInt_monotone + add_nonneg_monotone to FixedPoint; generalise Motif §6.2 
FixedPoint.lean — two new theorems:

  ofRawInt_monotone (a b : Int) (h : a ≤ b) :
      (ofRawInt a).toInt ≤ (ofRawInt b).toInt
  — proved by explicit by_cases on all four guard combinations
    (a/b each: above max, below min, in range), closing each branch
    with simp + dsimp [q16MinRaw/q16MaxRaw] + omega/exact.

  add_nonneg_monotone (a b : Q16_16) (hb : 0 ≤ b.toInt) :
      a.toInt ≤ (add a b).toInt
  — follows from ofRawInt_monotone + ofRawInt_toInt (one rewrite).

Semantics.PIST.Motif §6.2 — upgraded from concrete witness to general theorem:

  motifScore_match_ge_base (x : MotifInputs) :
      (motifScore {x with familyMatch := true}).toInt ≥
      (motifScore {x with familyMatch := false}).toInt
  — now proved for all MotifInputs using add_nonneg_monotone,
    replacing the earlier TODO(lean-port) placeholder.

Full workspace build: 3570 jobs, 0 errors.

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Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
2026-05-26 23:51:18 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat(lean): add ofRawInt_monotone + add_nonneg_monotone to FixedPoint; generalise Motif §6.2 2026-05-26 23:51:18 -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

README.md

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