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Research-Stack/0-Core-Formalism
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Brandon Schneider 6c1d739a04 fix: correct Q16_16 add/sub signed/unsigned bug, add missing lemmas 
- FixedPoint.lean: rewrite add/sub with two's-complement overflow
  detection on UInt32 (replaces Int.ofNat approach that broke
  negative Q16_16 values). Both positive and negative inputs now
  correctly saturate at the representable bounds.
- FixedPoint.lean: add add_zero, zero_add, sub_self, sqrt_zero,
  sqrt_one theorems with proofs for the corrected add/sub.
- FixedPoint.lean: fix Q0_16 doc (0x7FFF = 1.0, not 0x8000)
  and div-by-zero (returns zero, not max).
- TorsionalPIST.lean: Fix16_sub_self, Fix16_mul_zero delegate to
  FixedPoint theorems; Fix16_add_zero proven via add_zero.
2026-05-18 00:31:44 -05:00
..
core initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
lean fix: correct Q16_16 add/sub signed/unsigned bug, add missing lemmas 2026-05-18 00:31:44 -05:00
otom collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -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