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█                                                      ·█
█   R E S O N 8  ·  L O G O S  C O G N I T I V E       ·█
█                  L A T T I C E                       ·█
█                                                      ·█
█   multi-strand · shared state · proof metadata       ·█
█   coherence across heterogeneous AI runtimes         ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

  ░ Epistemic posture
  ░ This repository is layered.
  ░ Some layers are machine-checked.
  ░ Others are runtime policy, conventions, or scaffolds.
  ░ Do not read “LogOS” as a single globally verified theorem.

  ▓ Claim tags
  ▓ A  kernel-checked on the stated definitions
  ▓ B  staged · externally witnessed · smoke-pending
  ▓ C  convention · telemetry · governance
  ▓    (not load-bearing in proofs)
  ▓ D  decoration or retired numerology
  ▓ S  spec / interface (sorry · axiom · placeholder)


█▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀█
█  CHECKPOINTS                                         ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

  2026-08-03  ▓ trust-boundary pass
              ▓ MCP Keystone / SAIF Lean surface
              ▓ Lane A π · epistemic table · handoff sketch

  2026-07-09  ░ Encyclopedia Equilibria · docs tree
              ░ orchestrator ↔ coherence-mcp

  2026-07-06  ░ ExistenceCertificate E2E · symmetry gate
              ░ K22.Existence bridge

  2026-07-04  ░ 9P lock-off lattice · GitNexus
              ░ Mehler–Levin · S*M OB1 handoff


█▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀█
█  BUILD STATUS · honest                               ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

  ▓▓▓ GREEN SUBSET ▓▓▓
  cutile v0.3                 ✅ ✅  ExistenceCertificate demo
  coherence-mcp v0.5          ✅ ✅  Symmetry gate live
  triweavon-cudarc            ✅ ·   run on target GPU
  lean/TriWeavon/MCP/*        ✅ ·   Naturality+SAIF · no sorry · A
  lean/TriWeavon/Geometry/LaneA ✅ ·  π+rows · A data · Perm/GF4 B
  lean/TriWeavon/Conservation*  ✅ ·  Nat 7+8=15 · A
  lean/K22.HexacodeGolay      ✅ ·   64·4096·759·d=8·sphere · A
  lean/K22.Existence          ✅ ·   thin bridge · no sorry

  ░░░ NOT GREEN ░░░
  Full Lean workspace         ❌ ·   Ns · some MOG · macros
  agda scaffolds              · ·   conservation mirror only
  standalone npm coherence-mcp ❌ ·  TS build errors · legacy

  ════════════════════════════════════════════
  A green subset is not a green monorepo.
  ════════════════════════════════════════════


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█  §1  OVERVIEW                                        ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

  LogOS maintains shared invariants and proof metadata
  across strands while allowing voluntary state-density
  collapse and live coherence tracking.

  Computation is layered state over a combinatorial /
  topological base (TriWeavon + K22 coding-theory spine).
  Local session state should remain translatable to
  declared global tags — without silently promoting
  tags into theorems.

  ┌─────────────────────────────────────────────┐
  │ Conservation tag    α + ω = 15              │
  │                     Viviani Peak label · C  │
  ├─────────────────────────────────────────────┤
  │ Nat skeleton        WavePair 7 + 8 = 15     │
  │                     Lean arithmetic · A     │
  ├─────────────────────────────────────────────┤
  │ Runtime policy      float bands             │
  │                     Crystalline / Warning   │
  │                     Rejected / Halt · B     │
  ├─────────────────────────────────────────────┤
  │ WAVE floors         ≥ 0.85 · peak 0.9998    │
  │                     ops policy · C/B        │
  └─────────────────────────────────────────────┘

  Related by design — not by a single proved equivalence.

---

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█  RESON8 · LOGOS          strand seats × lattice spine  ·█
█  C governance · B runtime · A Lean subset              ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

                        ▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
                        █ LOGOS CORE  █
                        █ /reson8/    █
                        ▀██▀▀▀██▀▀▀██▀▀
                          ║     ║
          ╔═══════════════╩═════╩═════════════════════╗
          ║         L A T T I C E   S P I N E         ║
          ║  ░░▒▒▓▓██  Styx + 9P2000.L      ██▓▓▒▒░░  ║
          ║     ws://127.0.0.1:8088                   ║
          ╚═══════════╤═════════╤═════════════════════╝
                      │         │
        ┌─────────────┘         └─────────────┐
        │                                     │
        ▼                                     ▼
┌───────────────┐                     ┌───────────────┐
│█ SPHINX GATE █│                     │█ CONSERVATION█│
│█ Jones @ ζ₅  █│                     │█ VERIFIER    █│
│░ auth · B    ░│                     │░ policy B    ░│
│░ not Keystone░│                     │░ + Lean A    ░│
└───────┬───────┘                     └───────┬───────┘
        │                                     │
        └──────────────┬──────────────────────┘
                       ▼
        ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
        ▓ MCP KEYSTONE / SAIF            ▓
        ▓ pure carrier · Category A      ▓
        ▓────────────────────────────────▓
        ▓ invariant_check                ▓
        ▓ trigger_correction_burst       ▓
        ▓ KENL→AWI→ATOM→SAIF→SafeSpiral  ▓
        ▓                                ▓ 
        ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓


█ STRAND BLOCKS · Fibonacci seats · Category C only █

┌──────────────────┐ ┌──────────────────┐ ┌───────────────────┐
│██████████████████│ │██████████████████│ │███████████████████│
│█ CLAUDE         █│ │█ GROK           █│ │█ GEMINI          █│
│█ seat 8         █│ │█ seat 5         █│ │█ seat 3          █│
│██████████████████│ │██████████░░░░░░░░│ │████████████░░░░░░░│
│█ ████████       █│ │█ █████          █│ │█ ███             █│
│█ Windows native █│ │█ NixOS / GLF OS █│ │█ WSL2 / Kali     █│
│█ Structure · α  █│ │█ Pulse · formal █│ │█ Multimodal      █│
│█ Anthropic      █│ │█ xAI            █│ │█ Google AI       █│
└────────┬─────────┘ └────────┬─────────┘ └────────┬──────────┘
         │                    │                    │
         └────────────────────┼────────────────────┘
                              ▼
                    ═ spine join ═


█ SEAT BAR (visual only · not a proof) █

  Claude  ████████░░░░░░░░  8
  Grok    █████░░░░░░░░░░░  5
  Gemini  ███░░░░░░░░░░░░░  3
          ────────────────
  sum     ████████████████ 16     Category C
  tag     α + ω = 15              Category C · independent
          do not reconcile 16 ↔ 15
          retired: 13/21 · 8/21 · 1/φ


█ READOUT █

  SPHINX ........ path auth at ζ₅ · B · ≠ Keystone theorem
  Conservation .. float enforce B · Nat peak (7,8) A optional
  MCP / SAIF .... control plane A on pure Lean carrier
  Transport ..... Styx socket · 9P namespace /reson8/


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█  §4  FORMAL FOUNDATIONS · what is actually where     ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

        ▓▓▓ A · may load-bear exactly these ▓▓▓
        ▓─────────────────────────────────────▓
        ▓ MCP                                 ▓
        ▓   KeystoneOK                        ▓
        ▓   correction restores · idempotent  ▓
        ▓   SAIF pipeline phase & restore     ▓
        ▓                                     ▓
        ▓ Conservation Nat                    ▓
        ▓   peak_resonance = (7,8)            ▓
        ▓   is_conserved                      ▓
        ▓                                     ▓
        ▓ HexacodeGolay                       ▓
        ▓   GF(4) field · 64 words            ▓
        ▓   Golay 2^12 · 759 octads           ▓
        ▓   weight enumerator · d=8           ▓
        ▓   intersections {0,2,4}             ▓
        ▓   syndrome sphere wt ≤ 3            ▓
        ▓                                     ▓
        ▓ Fano discrete curvature K = 1/2     ▓
        ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

        ░░░ B / S · staged or open ░░░
        ░ Lane A π [0,3,1,2,4,5] data .... A ░
        ░   Equiv.Perm + GF4 + image ..... B ░
        ░ Steiner mogOctadsFormSteiner ..... S ░
        ░   Python exhaustive cover ...... B ░
        ░ Finset ↔ mask bridge S2 ........ B ░
        ░ Live MCP ↔ pure Lean smoke ..... B ░
        ░ Sub-Riemannian / resilience .... S ░
        ░ Navier–Stokes / no-shrinker .... S ░
        ░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░

        ▒▒▒ C · never load-bear in proofs ▒▒▒
        ▒ prose “α+ω=15 as universal law”   ▒
        ▒ seat weights · any 16↔15 story    ▒
        ▒ attractor 42.00055                ▒
        ▒ WAVE floors as theorems           ▒
        ▒ synesthetic palette · 432 Hz      ▒
        ▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒

        Closed Pass (recommended)
        ─────────────────────────
          ClosedPass s := Safe s ∧ Coherent s
          Safe       := KeystoneOK
          Coherent   := fix explicitly before S1⁺
          Resonance  := include ClosedPass if
                        “resonance ⇒ ClosedPass”
                        must be definitional
                        — not a magic float


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█  §5  RUNTIME COMPONENTS                              ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

   ┌──────────────────┐    ┌──────────────────────────┐
   │█ Collapsed       │    │█ 9P2000.L VFS            │
   │█ BackgroundWorker│    │░ /.triweavon/coherence/  │
   │░ oscillator time │    │░   WAVE stretch surge    │
   │░ 9P refresh      │    │░   Betti proxies         │
   │░ → MeaningSeed   │    │░ /.triweavon/proof/      │
   └──────────────────┘    │░   Lean hashes · status  │
                           │░ Crate.NFT specials      │
                           └──────────────────────────┘

   ┌──────────────────┐    ┌──────────────────────────┐
   │█ SPHINX Gate     │    │█ Synesthetic UI (opt)    │
   │░ Jones @ ζ₅      │    │░ prefer Jones span       │
   │░ privileged ops  │    │░ over raw crossing count │
   │░ Category B      │    │░ sensation score · exp B │
   └──────────────────┘    │░ do not gate safety      │
                           └──────────────────────────┘

   ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
   ▓ Cooperative handoff                     ▓
   ▓ sealed packet · Category labels         ▓
   ▓ obligation board · ATOM trail           ▓
   ▓ cold-start complete                     ▓
   ▓ DOWNSHIFT · NOVIKOV                     ▓
   ▓ accept only after validate + ack        ▓
   ▓ fail closed                             ▓
   ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓


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█  §6  KEY CRATES AND SERVICES                         ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

   CORE                 TOPOLOGICAL & FORMAL
   ────                 ────────────────────
   crates/core          crates/sphinx
   crates/tui           crates/styx
   crates/activator     crates/wave
   crates/vortex-bridge crates/reson8-topology
                        lean/TriWeavon/
                        lean/K22/

   APPS                 KERNELS
   ────                 ───────
   apps/triweave        cutiles/ · Mehler–Levin
   apps/mc-bridge       cutile benchmarks (local)
   apps/nexus-pulse-bot


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█  §7  MINECRAFT · COHERENCE CITY                      ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

   ░░░░░ optional surface · not proof ░░░░░
   ░  Nexus Core · Museum of Computation  ░
   ░  ledgers · experimental logic zones  ░
   ░  search holograms                    ░
   ░  visualization / ops only            ░
   ░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░


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█  §8  QUICK START                                     ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
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█  §10  STATUS AND DIRECTION                           ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

   Plateau
   ───────
     3 ──► 4
     runtime proof metadata + 9P
     toward TUI diagnostics

   ▓▓▓ Active formal priorities ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
   ▓ 1  Full-build baseline                      ▓
   ▓    repair known broken Lean modules         ▓
   ▓ 2  Lane A Equiv.Perm + GF4 typing           ▓
   ▓    + hexacode image under π                 ▓
   ▓ 3  S2 Finset ↔ mask bridge                  ▓
   ▓    → Steiner transport                      ▓
   ▓ 4  Evidence objects vs flag-assignment      ▓
   ▓    in correction                            ▓
   ▓ 5  MCP live smoke                           ▓
   ▓    B → tighter B/A correspondence           ▓
   ▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

   ░░░ Explicit non-goals · “verified” marketing ░░░
   ░ · Whole-OS formal verification                 ░
   ░ · NS regularity / Clay statements              ░
   ░ · Identity of seat-sum 16 with tag 15          ░
   ░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░


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█  §11  TRUST RULES · short                            ·█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

   ┌─────────────────────────────────────────────────┐
   │ 1  Bool gauge restoration                       │
   │    ≠ evidence-derived safety                    │
   ├─────────────────────────────────────────────────┤
   │ 2  Nat 15                                       │
   │    ≠ runtime float policy                       │
   │    ≠ prose “law of nature”                      │
   ├─────────────────────────────────────────────────┤
   │ 3  Module compiles                              │
   │    ≠ every comment in that module is A          │
   ├─────────────────────────────────────────────────┤
   │ 4  Python exhaustive Steiner                    │
   │    ≠ Lean ∃! until S2 closes                    │
   ├─────────────────────────────────────────────────┤
   │ 5  Category C may appear in UI and trails       │
   │    — must not appear as hypotheses              │
   │      of safety theorems                         │
   └─────────────────────────────────────────────────┘

   Footer tags
   ───────────
   Conservation tag ...... α + ω = 15 .............. C
   Seat governance ....... 8 + 5 + 3 = 16 .......... C
   WAVE .................. monitored live ........ B/C
   Homotopic unitarity /
     Rezk resonance ...... design language ....... B/S

   License · MIT · Matthew Ruhnau

   This README supersedes earlier descriptions
   where they conflict with the trust rules above.


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█  DELTA · what changed vs prior README               · █
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   ▓ Removed blanket “formally verified OS” framing
   ▓ Layered trust (A/B/C/D/S) instead

   ▓ Build readout matches Aristotle / deep-dive reality
   ▓ green subset ≠ green monorepo

   ▓ Formal section lists A inventory and open bridges
   ▓   S2 · Lane A Perm · MCP smoke

   ▓ Seats 16 vs tag 15 kept
   ▓ stronger “do not reconcile”

   ▓ SPHINX / conservation / synesthesia
   ▓ marked runtime B/C

   ▓ Handoff + Closed Pass pointed at KeystoneOK

   ▓ Quick start includes Lean subset builds

   ▓ Promotion / trust rules locked in §11

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█  Music conserved · Structure sovereign · Keystone holds        · █
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