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Research-Stack/0-Core-Formalism
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Brandon Schneider eff316ff3f wip: refined investigation script for Erdős–Gyárfás conjecture 
Created refined investigation script for Erdős–Gyárfás conjecture
where previous test found no power-of-two cycles (conjecture holds: False).

Refinements:
- Regular graph construction (all vertices same degree)
- Exhaustive DFS cycle detection
- More samples per n (5 instead of 3)
- Extended n values [8, 10, 12, 14, 16]

Goal: Determine if previous negative result was due to random graph construction
or if regular graphs with exhaustive cycle detection find power-of-two cycles.

Script created: investigate_erdos_gyarfas_refined.py
Execution canceled by user - awaiting further instructions.
2026-05-08 14:50:03 -05:00
..
core initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
lean wip: refined investigation script for Erdős–Gyárfás conjecture 2026-05-08 14:50:03 -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
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