diff --git a/archive/2026-07-02/docs/RRC_PLACEMENT.md b/archive/2026-07-02/docs/RRC_PLACEMENT.md new file mode 100644 index 00000000..cc32a46b --- /dev/null +++ b/archive/2026-07-02/docs/RRC_PLACEMENT.md @@ -0,0 +1,161 @@ +# RRC (Rainbow Raccoon Compiler) — Library Placement + +## What RRC Actually Is + +From `PVGS_DQ_Bridge_fixed.lean` §4: + +```lean +structure RRCEvidence where + typeWitness : ℚ + projectionWitness : ℚ + mergeWitness : ℚ + typeAdmissible : Prop -- gate 1: type check + projectionAdmissible : Prop -- gate 2: projection check + mergeAdmissible : Prop -- gate 3: merge check + +def kernelEvidence (x m y n : ℕ) : RRCEvidence + +theorem goormaghtigh_passes_rrc -- known solutions pass +theorem unknown_fails_rrc -- unknown solutions fail (Goormaghtigh) +``` + +RRC is a **receipt compiler** — it takes receipts and compiles them through +three gates. Each gate is a semantic validation: + +| Gate | What it checks | Physical meaning | +|------|---------------|------------------| +| **Type** | `|witness| < 1/x` | Is the expression structurally valid? | +| **Projection** | `|witness| < 1/(xm)` | Does it project cleanly onto the manifold? | +| **Merge** | `|R1-R2|/(R1+R2) < 10⁻⁶` | Can two receipts coexist without collision? | + +## Where It Fits: Its Own Library + +RRC is NOT AuditLib. AuditLib checks receipt *format* (well-formedness). +RRC checks receipt *semantics* (mathematical validity through polynomial gates). + +``` + SilverSightCore.lean + │ + ┌───────────┼───────────┐ + │ │ │ + LexLib SearchLib StructureLib + │ │ │ + └───────────┼───────────┘ + │ + Receipt produced + │ + ┌───────────┼───────────┐ + │ │ │ + AuditLib RRCLib EventLib + (format) (semantics) (count) + │ │ │ + └───────────┴───────────┘ + │ + Core.accept / reject +``` + +## RRCLib — Rainbow Raccoon Compiler Library + +**Type signature:** +```lean +-- RRCLib.lean +import SilverSightCore + +-- Compile a receipt through RRC gates +def RRCLib.compile (r : Receipt) : RRCResult + +-- Gate verdicts +structure RRCResult where + typeGate : GateVerdict + projectionGate : GateVerdict + mergeGate : GateVerdict + compiled : Bool -- all gates pass + deriving Repr + +inductive GateVerdict + | Pass -- witness below threshold + | Fail -- witness above threshold + | Borderline -- within 10% of threshold (needs human) + deriving DecidableEq, Repr +``` + +**What RRCLib does NOT do:** +- Does NOT produce the initial receipt (that's SearchLib/LexLib) +- Does NOT count TIC (that's EventLib) +- Does NOT check receipt format (that's AuditLib) +- Does NOT compute the Finsler metric (that's MetricLib) + +**What RRCLib DOES do:** +- Takes an existing receipt +- Evaluates the H-KdF polynomial at the receipt's parameters +- Checks three gate thresholds +- Returns Pass/Fail/Borderline for each gate +- The receipt is **admissible** only if all three gates Pass + +## The Key Insight + +RRC is a **compiler** because: +- Input: receipt (source code) +- Process: three-pass gate evaluation (compilation passes) +- Output: compiled result with verdicts (executable decision) + +The "Rainbow" part: each gate filters a different **color** (aspect) of the receipt: +- Type = red channel (structural validity) +- Projection = green channel (manifold fit) +- Merge = blue channel (collision freedom) + +All three must be clear for the receipt to be white (valid). + +## RRC as Meta-Library + +RRC can also validate receipts ABOUT receipts (meta-recursion): + +```lean +-- Receipt from RRCLib about another receipt +def RRCLib.metaCompile (r : Receipt) (rrcReceipt : Receipt) : RRCResult +``` + +This is how you get the self-indexing property: RRC receipts about RRC receipts, +forming a hash chain (which is what `pvgs_receipt_hash.py` implements). + +## Current Code Location + +Your `PVGS_DQ_Bridge_fixed.lean` §4 (`hermitianRRCKernel` through +`rrc_characterizes_goormaghtigh`) becomes: + +``` +SilverSight/ +├── Core/ +│ └── SilverSightCore.lean ← 200 lines, never changes +├── Library/ +│ ├── LexLib.lean ← your token work +│ ├── SearchLib.lean ← your chaos game work +│ ├── MetricLib.lean ← your Finsler work +│ ├── QUBOLib.lean ← your QUBO/QAOA work +│ ├── StructureLib.lean ← your ChiralitySpace work +│ ├── PVGSLib.lean ← your PVGS bridge work +│ ├── EventLib.lean ← your TIC counting work +│ ├── AuditLib.lean ← format validation +│ └── RRCLib.lean ← §4 of PVGS_DQ_Bridge_fixed.lean +│ ├── RRCGates.lean -- gate definitions +│ ├── RRCKernel.lean -- hermitianRRCKernel +│ ├── RRCEvidence.lean -- RRCEvidence structure +│ └── RRCLib/ -- NEW: RRC as standalone library +│ ├── RRCReceipt.lean -- receipt validation +│ ├── RRCMeta.lean -- meta-receipt validation +│ └── RRCHashChain.lean -- from pvgs_receipt_hash.py +└── Orchestrator/ + └── SilverSight.lean -- composes everything +``` + +## Summary + +| Question | Answer | +|----------|--------| +| Is RRC AuditLib? | No — AuditLib checks format, RRC checks semantics | +| Is RRC SearchLib? | No — SearchLib finds basins, RRC validates receipts | +| Is RRC its own library? | **Yes** — RRCLib, importing only Core | +| What does RRC compile? | Receipts through 3 polynomial gates | +| Why "Rainbow"? | 3 gates = 3 color channels = white if all pass | +| Why "Raccoon"? | Because raccoons wash everything before accepting it | +| Why "Compiler"? | Source receipt → gate passes → compiled verdict |