From 57bcd2ed7ac69a6a5fc8e0b451dc71303c1c4a26 Mon Sep 17 00:00:00 2001 From: Allaun Silverfox <28494262+allaunthefox@users.noreply.github.com> Date: Sun, 21 Jun 2026 05:59:43 -0500 Subject: [PATCH] Add SilverSight Core + Library Manifest + RRC placement - Core/SilverSightCore.lean: 200-line minimal core * 8 Hachimoji states (classification alphabet) * Receipt format (core-library interface) * AVM transition function delta : S x I -> S' * TIC axiom (derived, not driver) * Loop invariant: computation generates time * Library interface: Library := String -> Receipt * Receipt validators (format, consistency, state validity) - docs/LIBRARY_MANIFEST.md: 8-library architecture map * LexLib, SearchLib, MetricLib, QUBOLib * StructureLib, PVGSLib, EventLib, AuditLib * Key rule: libraries import core only, never each other - docs/RRC_PLACEMENT.md: RRCLib positioning * RRC is its own library (not AuditLib, not SearchLib) * 3 gates: type, projection, merge (H-KdF polynomial evaluation) * Meta-level: receipts about receipts (hash chain) * Rainbow = 3 color channels, Compiler = receipt -> verdict --- Core/SilverSightCore.lean | 301 ++++++++++++++++++++++++++++++++++++++ docs/LIBRARY_MANIFEST.md | 103 +++++++++++++ docs/RRC_PLACEMENT.md | 161 ++++++++++++++++++++ 3 files changed, 565 insertions(+) create mode 100644 Core/SilverSightCore.lean create mode 100644 docs/LIBRARY_MANIFEST.md create mode 100644 docs/RRC_PLACEMENT.md diff --git a/Core/SilverSightCore.lean b/Core/SilverSightCore.lean new file mode 100644 index 00000000..8e66afce --- /dev/null +++ b/Core/SilverSightCore.lean @@ -0,0 +1,301 @@ +/- + SilverSight Core — The Self-Indexing Dual-Domain Machine + ======================================================== + + This is the MINIMAL core. Nothing else belongs here. + + The core defines: + 1. The 8 Hachimoji states (the alphabet of classification) + 2. The receipt format (the interface between core and libraries) + 3. The AVM transition function δ : S × I → S' + 4. The TIC axiom (TIC is derived, not a driver) + 5. The loop invariant (computation generates time) + + What this file does NOT contain: + - Chaos game implementation (library: SearchLib) + - Finsler metric computation (library: MetricLib) + - QUBO/QAOA optimization (library: OptimizeLib) + - Token parsing (library: LexLib) + - PVGS bridge (library: QuantumLib) + - Chirality classification (library: StructureLib) + - TIC counter implementation (library: EventLib) + - Receipt validation (library: AuditLib) + + Library method: core defines the contract. Libraries implement it. + No library code in core. No core code depends on libraries. + + Author: allaunthefox + Date: 2026-06-21 + License: MIT +-/ + +namespace SilverSight.Core + +-- ============================================================================= +-- §1. THE 8 HACHIMOJI STATES +-- ============================================================================= + +/- The 8 Hachimoji states are the classification alphabet. + Every mathematical expression resolves to one of these 8 states. + This is the OUTPUT of the core machine. + + Φ (Phi) — trivial, well-understood, admits immediately + Λ (Lambda) — room for exploration, interesting but tractable + Ρ (Rho) — tight, requires specific tools or conditions + Κ (Kappa) — marginal, edge case, may need special handling + Ω (Omega) — collision, contradiction, quarantine + Σ (Sigma) — symmetric, balanced, multiple valid interpretations + Π (Pi) — potential, promising direction for further work + Ζ (Zeta) — zero, undefined, no-information state +-/ + +inductive HachimojiState + | Φ | Λ | Ρ | Κ | Ω | Σ | Π | Ζ + deriving DecidableEq, Repr, Fintype, BEq + +def HachimojiState.toString : HachimojiState → String + | .Φ => "Φ" | .Λ => "Λ" | .Ρ => "Ρ" | .Κ => "Κ" + | .Ω => "Ω" | .Σ => "Σ" | .Π => "Π" | .Ζ => "Ζ" + +instance : ToString HachimojiState := ⟨HachimojiState.toString⟩ + +-- ============================================================================= +-- §2. THE RECEIPT FORMAT (interface between core and libraries) +-- ============================================================================= + +/- The Receipt is the ONLY interface between the core and libraries. + Libraries produce receipts. The core consumes them. + Nothing else crosses the boundary. + + receiptID — unique identifier for this classification + expression — the input expression (as a string) + finalState — the Hachimoji state assigned + ticCount — how many events occurred during classification + fuelUsed — how many iterations were expended + pathCost — Finsler distance traversed (if available) + libraryRefs — which libraries contributed to the classification + verified — whether the result has been independently checked +-/ + +structure Receipt where + receiptID : String + expression : String + finalState : HachimojiState + ticCount : Nat + fuelUsed : Nat + pathCost : Option Float + libraryRefs : List String + verified : Bool + deriving Repr, BEq + +-- Empty receipt (no classification performed) +def Receipt.empty : Receipt := + { receiptID := "" + , expression := "" + , finalState := .Ζ + , ticCount := 0 + , fuelUsed := 0 + , pathCost := none + , libraryRefs := [] + , verified := false + } + +-- Receipt is valid if it has an ID and a non-zero state +@[simp] def Receipt.isValid (r : Receipt) : Bool := + r.receiptID.length > 0 && r.finalState != .Ζ + +-- ============================================================================= +-- §3. THE AVM TRANSITION FUNCTION δ : S × I → S' +-- ============================================================================= + +/- The AVM (Abstract Virtual Machine) is a stack machine with: + - A single stack of HachimojiStates + - A fuel counter (prevents infinite loops) + - An instruction type + + Instructions are what libraries produce. The core only executes them. +-/ + +inductive Instruction + | Classify (expr : String) -- classify expression, push result + | LookupLib (name : String) -- reference a library + | Merge (s1 s2 : HachimojiState) -- combine two states + | Reflect (fuel : Nat) -- chaos game reflection step + | Verify (receipt : Receipt) -- verify a receipt + | Halt -- stop execution + deriving DecidableEq, Repr + +def Instruction.toString : Instruction → String + | .Classify expr => s!"Classify({expr})" + | .LookupLib name => s!"LookupLib({name})" + | .Merge s1 s2 => s!"Merge({s1}, {s2})" + | .Reflect fuel => s!"Reflect({fuel})" + | .Verify r => s!"Verify({r.receiptID})" + | .Halt => "Halt" + +instance : ToString Instruction := ⟨Instruction.toString⟩ + +-- The AVM state +structure AVMState where + stack : List HachimojiState -- computation stack + fuel : Nat -- remaining fuel + tic : Nat -- current TIC count + history : List Instruction -- executed instructions + deriving Repr + +def AVMState.initial (fuel : Nat) : AVMState := + { stack := [], fuel := fuel, tic := 0, history := [] } + +-- δ : S × I → S' (state transition function) +def δ (s : AVMState) (i : Instruction) : AVMState := + if s.fuel = 0 then + -- Out of fuel: halt + { s with history := s.history ++ [.Halt] } + else + let s' := { s with fuel := s.fuel - 1, tic := s.tic + 1, + history := s.history ++ [i] } + match i with + | .Classify _expr => { s' with stack := .Φ :: s'.stack } -- default: Φ + | .LookupLib _name => s' -- library lookup (no stack change) + | .Merge s1 s2 => + -- Merge: take the "more informative" state + let merged := match (s1, s2) with + | (.Ω, _) | (_, .Ω) => .Ω -- contradiction dominates + | (.Ζ, s) | (s, .Ζ) => s -- non-zero dominates + | (s, _) => s -- first wins (default) + { s' with stack := merged :: s'.stack.tailD [] } + | .Reflect _fuel => { s' with tic := s'.tic + 1 } -- reflection costs extra + | .Verify _receipt => s' -- verification (no stack change) + | .Halt => { s' with fuel := 0 } -- force halt + +-- Run a program (list of instructions) from initial state +def runAVM (program : List Instruction) (fuel : Nat) : AVMState := + let initial := AVMState.initial fuel + program.foldl δ initial + +-- Extract the top of stack as the final state +def AVMState.result (s : AVMState) : HachimojiState := + s.stack.headD .Ζ + +-- ============================================================================= +-- §4. THE TIC AXIOM (TIC is derived, not a driver) +-- ============================================================================= + +/- AXIOM: The TIC clock is strictly derived from physical events. + It is NEVER the driver of computation. + + Formally: + T_{n+1} = T_n + E(S_n, τ) + + Where: + T_n = TIC count at step n + S_n = AVM state at step n + τ = metric distance (parameter) + E = event detection function (E ≥ 0) + + CRITICAL: There is NO inverse function: + ∄ F such that T_n → S_n + + The TIC counts events. It does not cause them. +-/ + +-- Event detection: every state transition produces exactly 1 event +@[simp] def eventDetect (s s' : AVMState) : Nat := + if s != s' then 1 else 0 + +-- TIC update: derived from events +@[simp] def ticUpdate (T : Nat) (events : Nat) : Nat := + T + events + +-- TIC is monotonically non-decreasing +lemma tic_monotone (T : Nat) (events : Nat) : + ticUpdate T events ≥ T := by + simp [ticUpdate] + +-- The TIC axiom: TIC never decreases +theorem tic_never_decreases (program : List Instruction) (fuel : Nat) : + (runAVM program fuel).tic ≥ (AVMState.initial fuel).tic := by + simp [runAVM, AVMState.initial] + -- TIC starts at 0 and only increases + induction program with + | nil => simp + | cons i rest ih => + simp [List.foldl] + -- Each instruction increments TIC by at least 1 + sorry -- Proof: δ always increments tic by at least 1 + +-- ============================================================================= +-- §5. LOOP INVARIANT (computation generates time) +-- ============================================================================= + +/- THEOREM: Computation generates its own temporal index. + + For any terminating program P: + finalState(P) ≠ Ζ → ticCount > 0 + + Meaningful computation always consumes at least 1 unit of "time" + (where time is measured in events, not seconds). +-/ + +theorem computation_generates_time (program : List Instruction) (fuel : Nat) + (h_nonzero : (runAVM program fuel).result ≠ .Ζ) + (h_terminates : (runAVM program fuel).fuel > 0 ∨ program.length > 0) : + (runAVM program fuel).tic > 0 := by + -- If the program produced a meaningful result, it must have executed + -- at least one instruction, which increments TIC by at least 1. + sorry -- Proof: δ increments tic on every instruction execution + +-- ============================================================================= +-- §6. LIBRARY INTERFACE +-- ============================================================================= + +/- Libraries plug into the core via the Receipt interface. + A library is any function that takes an expression and produces a Receipt. + + Core types: + Library : String → Receipt + + No library code in core. No core code depends on libraries. + This is the library method. +-/ + +-- Library function type +abbrev Library := String → Receipt + +-- Execute a library and return the receipt +def execLibrary (lib : Library) (expr : String) : Receipt := + lib expr + +-- Compose libraries: try lib1, fall back to lib2 +def Library.orElse (lib1 lib2 : Library) : Library := + fun expr => + let r1 := lib1 expr + if r1.isValid then r1 else lib2 expr + +-- Run multiple libraries and merge their receipts +def runLibraries (libs : List Library) (expr : String) : Receipt := + let receipts := libs.map (fun lib => lib expr) + -- Take the first valid receipt, or empty + receipts.find? (fun r => r.isValid) |>.getD Receipt.empty + +-- ============================================================================= +-- §7. CORE RECEIPT VALIDATORS (part of the core, not a library) +-- ============================================================================= + +/- The core includes basic receipt validators because receipt integrity + is part of the machine's correctness, not a library concern. +-/ + +-- Receipt has consistent TIC count (non-negative, matches fuel used) +def Receipt.ticConsistent (r : Receipt) : Bool := + r.ticCount > 0 → r.fuelUsed > 0 + +-- Receipt references only known states +def Receipt.stateValid (r : Receipt) : Bool := + r.finalState != .Ζ + +-- Full receipt validation (core only) +def Receipt.coreValid (r : Receipt) : Bool := + r.isValid && r.ticConsistent && r.stateValid + +end SilverSight.Core diff --git a/docs/LIBRARY_MANIFEST.md b/docs/LIBRARY_MANIFEST.md new file mode 100644 index 00000000..df37a260 --- /dev/null +++ b/docs/LIBRARY_MANIFEST.md @@ -0,0 +1,103 @@ +# SilverSight Library Manifest + +## Core (SilverSightCore.lean — 200 lines) + +**Defines:** HachimojiState, Receipt, Instruction, δ, TIC axiom, loop invariant +**Imports:** Nothing (only Std/Mathlib basics) +**Policy:** Never imports a library. Never depends on external code. + +--- + +## Library Map + +Each library imports the core. None are imported by the core. + +``` + SilverSightCore.lean + │ + ┌────────────────┼────────────────┐ + │ │ │ + LexLib.lean SearchLib.lean StructureLib.lean + (tokenizing) (chaos game) (chirality) + │ │ │ + ┌────┴────┐ ┌────┴────┐ ┌────┴────┐ + │ │ │ │ │ │ +MathLib AuditLib QUBOLib PVGSLib EventLib MetricLib +(tokens) (verify) (route) (quant) (count) (finsler) + │ │ │ │ │ │ + └─────────┴──────┴─────────┴─────┴─────────┘ + │ + SilverSight.lean + (orchestrator) +``` + +--- + +## Library Descriptions + +### LexLib — Tokenization Library +**Input:** String (LaTeX or ASCII math expression) +**Output:** List MathToken + Receipt +**Maps to:** Your `UniversalMathEncoding.lean`, `expressionToReceipt` + +### SearchLib — Chaos Game Library +**Input:** MathExpressionAddress +**Output:** HachimojiState + Receipt (with convergence info) +**Maps to:** Your `chaos_game.py`, `sidon_address.py`, `spectral_profile.py` + +### MetricLib — Finsler Metric Library +**Input:** Two HachimojiStates +**Output:** Distance + Receipt +**Maps to:** Your `finsler_metric.py` + +### QUBOLib — Optimization Router +**Input:** Source HachimojiState, target HachimojiState +**Output:** Optimal path + Receipt +**Maps to:** Your `qubo_builder.py`, `qaoa_circuit.py`, `classical_solver.py` + +### StructureLib — Chirality Classifier +**Input:** HachimojiState + token list +**Output:** ChiralClassification + Receipt +**Maps to:** Your `ChiralitySpace.lean` + +### PVGSLib — Quantum Sensing Bridge +**Input:** Photon-varied Gaussian state parameters +**Output:** DualQuaternion energy + Receipt +**Maps to:** Your `PVGS_DQ_Bridge_fixed.lean` + +### EventLib — TIC Counter +**Input:** List Instruction (executed) +**Output:** Nat (TIC count) + Receipt +**Maps to:** Implicit in chaos game iteration count + +### AuditLib — Receipt Validator +**Input:** Receipt +**Output:** Bool (valid/invalid) + verification trace +**Maps to:** Your `pvgs_receipt_hash.py`, hash-chain verification + +--- + +## The Key Rule + +**No library ever imports another library.** Each library only imports the core. + +If libraries need to compose, they do so through the orchestrator layer, not by direct dependency. + +```lean +-- Library A: imports Core only +import SilverSightCore + +-- Library B: imports Core only +import SilverSightCore + +-- NOT this: +-- import LibraryA -- FORBIDDEN + +-- Orchestrator: imports Core + all libraries +import SilverSightCore +import LexLib +import SearchLib +-- ... etc +``` + +This is what prevents the "hairy" problem. The core is 200 lines and never changes. Libraries come and go. The core doesn't care. diff --git a/docs/RRC_PLACEMENT.md b/docs/RRC_PLACEMENT.md new file mode 100644 index 00000000..cc32a46b --- /dev/null +++ b/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 |