mirror of
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533 lines
21 KiB
Text
533 lines
21 KiB
Text
import Semantics.Bind
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import Semantics.FixedPoint
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import Semantics.ASICTopology
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import Lean.Data.Json
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namespace Semantics.BitcoinMetaprobe
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/-! ## Bitcoin Metaprobe — SHA-256 Routes, Comment Computes
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**Corrected Model:**
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- SHA-256 = routing / addressing / commitment packet (NOT computation)
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- comment field = computational payload layer
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- batch process = manifold fold
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- committed output = manifold result
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**Core Insight:**
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SHA does not compute the result. It routes and binds the work.
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The comment field carries encoded MetaProbe/AngrySphinx payload fragments.
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The computation emerges when many payload fragments are filtered, batched, interpreted, and folded together by the Layer 2 processor.
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**Correct Architecture:**
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MetaProbe task → encode into comment-field payload → SHA-256 hash becomes route packet → batch collector groups compatible payloads → L2 interpreter folds payloads into manifold state → AngrySphinx filters invalid/unsafe payloads → Delta GCL receipt commits result → SHA/Merkle root anchors loop
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**Roles:**
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- SHA-256: routing key, commitment, ordering handle
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- comment field: micro-computation payload, metaprobe fragment, policy-carrying operation
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- batch processor: manifold interpreter / reducer, filter payloads, compose fragments, fold into manifold state
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- AngrySphinx: admissibility filter at every batch stage
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- Delta GCL: receipt and state-transition proof
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- Bitcoin/chain anchor: public commitment clock
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**Batch Equation:**
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B_t = {p_1, p_2, ..., p_n} where each p_i is a comment-field computational payload
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M_{t+1} = Fold_AngrySphinx(M_t, Filter(B_t))
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root_{t+1} = SHA256(MerkleRoot(receipts(B_t)))
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**Keeper Law:**
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A single comment is a shard.
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A batch of comments is a computation.
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A verified fold of batches is a manifold update.
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Sharper: SHA-256 is the address. The comment field is the instruction surface. The batch is the computer.
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Per AGENTS.md: Lean is source of truth, Q16_16 fixed-point for hardware-native execution.
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-/
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open Semantics.Q16_16
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/-- Comment-field micro-computation payload (constrained computational carrier). -/
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structure CommentPayload where
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route : String -- SHA-256 routing key: "sha256:..."
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payloadType : String -- "metaprobe_fragment"
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policyRoot : String -- AngrySphinx policy root: "angrysphinx:..."
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domain : String -- Domain scope: "openworm_only"
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sigmaTarget : Semantics.Q16_16 -- Sigma target (e.g., 5.0)
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operation : String -- Operation: "waveform_extract"
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inputCommitment : String -- Input commitment: "0x..."
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localDelta : String -- Local delta: "0x..."
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receipt : String -- Receipt: "0x..."
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timestamp : Nat -- Payload timestamp
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sequence : Nat -- Sequence in batch
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deriving Repr
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/-- SHA-256 routing packet (addressing/commitment key, NOT computation). -/
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structure SHARoutingPacket where
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sha256Hash : List UInt8 -- 32-byte SHA-256 hash
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blockHeight : Nat -- Block height for ordering
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txId : String -- Transaction ID
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deduplicationKey : String -- Deduplication key
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orderingHandle : Nat -- Ordering handle
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commitmentKey : String -- Commitment key
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deriving Repr
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/-- Manifold state for batch folding. -/
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structure ManifoldState where
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stateId : String -- Manifold state identifier
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version : Nat -- State version
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sigma : Semantics.Q16_16 -- Current sigma value
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manifoldData : List UInt8 -- Manifold data
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lastUpdate : Nat -- Last update timestamp
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receiptRoot : String -- Receipt root
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verified : Bool -- Verification status
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deriving Repr
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/-- AngrySphinx policy gate result. -/
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structure AngrySphinxGateResult where
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passed : Bool
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reason : String
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gateType : String -- "packet_gate", "batch_gate", "receipt_gate"
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policyViolation : Bool
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unsafeRoute : Bool
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deriving Repr
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/-- Delta GCL receipt (state-transition proof). -/
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structure DeltaGCLReceipt where
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receiptId : String -- Unique receipt ID
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previousState : String -- Previous manifold state
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newState : String -- New manifold state
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transitionProof : String -- Transition proof
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sigmaDelta : Semantics.Q16_16 -- Sigma change
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batchRoot : String -- Batch Merkle root
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anchorBlock : Nat -- Anchor block height
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verified : Bool
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deriving Repr
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/-- SHA-256 routing result (NOT computation result). -/
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structure SHARoutingResult where
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routingPacket : SHARoutingPacket -- SHA-256 routing packet
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commentPayload : CommentPayload -- Comment-field computational payload
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routed : Bool -- Successfully routed
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orderingValid : Bool -- Ordering handle valid
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commitmentValid : Bool -- Commitment key valid
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deriving Repr
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/-- Bitcoin ASIC topology (SHA-256 pipeline for routing, NOT computation). -/
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structure BitcoinASICTopology where
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topologyName : String -- "bitcoin_sha256_routing"
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pipelineStages : Nat -- Number of pipeline stages (typically 64+ for SHA-256)
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hashRate : Semantics.Q16_16 -- Hash rate (H/s in Q16_16) - for routing capacity
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energyPerHash : Semantics.Q16_16 -- Energy cost per hash
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thermalCeiling : Semantics.Q16_16 -- Thermal limit
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networkDifficulty : Semantics.Q16_16 -- Current network difficulty
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totalMiners : Nat -- Total miners in network
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distribution : Array Semantics.Q16_16 -- Hash rate distribution
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deriving Repr
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/-- Default Bitcoin ASIC topology (SHA-256 routing). -/
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def defaultBitcoinTopology : BitcoinASICTopology := {
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topologyName := "bitcoin_sha256_routing",
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pipelineStages := 64,
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hashRate := 0x00000400, -- Q16_16: ~400 EH/s (scaled)
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energyPerHash := 0x00000001,
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thermalCeiling := 0x00050000,
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networkDifficulty := 0x00020000,
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totalMiners := 1000000,
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distribution := #[0x00001000, 0x00002000, 0x00004000, 0x00008000] -- Example distribution
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}
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/-! ## AngrySphinx Embedded Policy Gates -/
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/-- AngrySphinx packet gate: REFUSE_PACKET_IF_UNSCOPED. -/
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def angrySphinxPacketGate (payload : CommentPayload) : AngrySphinxGateResult :=
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let hasPolicyRoot := payload.policyRoot ≠ ""
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let hasDomain := payload.domain ≠ ""
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let hasOperation := payload.operation ≠ ""
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let hasReceipt := payload.receipt ≠ ""
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let passed := hasPolicyRoot ∧ hasDomain ∧ hasOperation ∧ hasReceipt
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{
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passed := passed,
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reason := if passed then "packet_valid" else "packet_lacks_policy_or_scope",
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gateType := "packet_gate",
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policyViolation := ¬hasPolicyRoot,
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unsafeRoute := ¬hasDomain
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}
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/-- AngrySphinx batch gate: REFUSE_BATCH_IF_EMERGENT_ROUTE_UNSAFE. -/
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def angrySphinxBatchGate (payloads : List CommentPayload) : AngrySphinxGateResult :=
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let allValid := payloads.all (λ p => (angrySphinxPacketGate p).passed)
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let domainConsistent := payloads.all (λ p => p.domain = payloads[0]!.domain)
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let operationSafe := payloads.all (λ p => p.operation ≠ "forbidden_operation")
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let passed := allValid ∧ domainConsistent ∧ operationSafe
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{
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passed := passed,
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reason := if passed then "batch_valid" else "batch_emergent_route_unsafe",
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gateType := "batch_gate",
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policyViolation := ¬allValid,
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unsafeRoute := ¬operationSafe
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}
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/-- AngrySphinx receipt gate: REFUSE_COMMIT_IF_NO_RECEIPT. -/
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def angrySphinxReceiptGate (receipt : DeltaGCLReceipt) : AngrySphinxGateResult :=
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let hasTransitionProof := receipt.transitionProof ≠ ""
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let hasBatchRoot := receipt.batchRoot ≠ ""
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let hasAnchor := receipt.anchorBlock > 0
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let passed := hasTransitionProof ∧ hasBatchRoot ∧ hasAnchor
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{
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passed := passed,
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reason := if passed then "receipt_valid" else "receipt_lacks_proof_or_anchor",
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gateType := "receipt_gate",
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policyViolation := ¬hasTransitionProof,
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unsafeRoute := ¬hasAnchor
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}
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/-! ## Batch Manifold Fold with Filtering -/
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/-- Batch of comment-field payloads for manifold folding. -/
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structure PayloadBatch where
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batchId : String -- Batch identifier
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payloads : List CommentPayload -- Comment-field computational payloads
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timestamp : Nat -- Batch timestamp
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filterResult : AngrySphinxGateResult -- AngrySphinx filter result
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filteredPayloads : List CommentPayload -- Filtered payloads
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deriving Repr
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/-- Manifold fold result. -/
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structure ManifoldFoldResult where
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newState : ManifoldState -- New manifold state after fold
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sigmaDelta : Semantics.Q16_16 -- Sigma change
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receipts : List DeltaGCLReceipt -- Generated receipts
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batchRoot : String -- Batch Merkle root
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verified : Bool -- Verification status
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angrySphinxResult : AngrySphinxGateResult -- AngrySphinx gate result
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deriving Repr
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/-- Filter batch using AngrySphinx. -/
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def filterBatch (batch : PayloadBatch) : PayloadBatch :=
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let gateResult := angrySphinxBatchGate batch.payloads
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let filtered := if gateResult.passed then batch.payloads else []
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{ batch with filterResult := gateResult, filteredPayloads := filtered }
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/-- Fold filtered payloads into manifold state. -/
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def foldManifoldState (currentState : ManifoldState) (filteredPayloads : List CommentPayload) : ManifoldState :=
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let rec fold (state : ManifoldState) (payloads : List CommentPayload) : ManifoldState :=
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match payloads with
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| [] => state
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| payload :: rest =>
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let newSigma := state.sigma + payload.sigmaTarget
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let newData := state.manifoldData ++ (payload.operation.toList.map (λ c => UInt8.ofNat c.toNat))
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let newState := { state with sigma := newSigma, manifoldData := newData, version := state.version + 1, lastUpdate := payload.timestamp }
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fold newState rest
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fold currentState filteredPayloads
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/-- Execute batch manifold fold with AngrySphinx filtering. -/
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def executeManifoldFold (currentState : ManifoldState) (batch : PayloadBatch) : ManifoldFoldResult :=
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let filteredBatch := filterBatch batch
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let newState := foldManifoldState currentState filteredBatch.filteredPayloads
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let sigmaDelta := newState.sigma - currentState.sigma
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let batchRoot := s!"merkle_root_{batch.batchId}" -- Placeholder: actual Merkle root computation
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let receipt := {
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receiptId := s!"receipt_{batch.batchId}",
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previousState := currentState.stateId,
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newState := newState.stateId,
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transitionProof := s!"proof_{batch.batchId}",
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sigmaDelta := sigmaDelta,
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batchRoot := batchRoot,
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anchorBlock := newState.lastUpdate,
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verified := filteredBatch.filterResult.passed
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}
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let gateResult := angrySphinxReceiptGate receipt
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{
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newState := newState,
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sigmaDelta := sigmaDelta,
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receipts := [receipt],
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batchRoot := batchRoot,
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verified := gateResult.passed,
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angrySphinxResult := gateResult
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}
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/-! ## SHA-256 as Routing/Commitment Key -/
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/-- Create SHA-256 routing packet from comment payload. -/
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def createSHARoutingPacket (payload : CommentPayload) (blockHeight : Nat) (txId : String) : SHARoutingPacket :=
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let sha256Hash := List.range 32 -- Placeholder: actual SHA-256 hash of payload
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let deduplicationKey := s!"dedup_{payload.sequence}"
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let orderingHandle := payload.sequence
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let commitmentKey := s!"commit_{payload.receipt}"
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{
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sha256Hash := sha256Hash,
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blockHeight := blockHeight,
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txId := txId,
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deduplicationKey := deduplicationKey,
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orderingHandle := orderingHandle,
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commitmentKey := commitmentKey
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}
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/-- Route comment payload using SHA-256. -/
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def routeWithSHA (payload : CommentPayload) (blockHeight : Nat) (txId : String) : SHARoutingResult :=
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let routingPacket := createSHARoutingPacket payload blockHeight txId
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{
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routingPacket := routingPacket,
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commentPayload := payload,
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routed := true,
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orderingValid := routingPacket.orderingHandle = payload.sequence,
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commitmentValid := routingPacket.commitmentKey ≠ ""
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}
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/-! ## Complete Routing Chain -/
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/-- Complete chain: MetaProbe → comment payload → SHA routing → batch filter → manifold fold → Delta GCL receipt. -/
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structure CommentComputeChain where
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metaprobeId : String
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commentPayloads : List CommentPayload
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shaRoutingResults : List SHARoutingResult
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payloadBatches : List PayloadBatch
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manifoldFoldResults : List ManifoldFoldResult
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finalManifoldState : ManifoldState
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deltaGCLReceipt : DeltaGCLReceipt
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verified : Bool
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deriving Repr
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/-- Execute complete comment compute chain. -/
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def executeCommentComputeChain (metaprobeId : String) (payloads : List CommentPayload) (initialState : ManifoldState) (blockHeight : Nat) (txId : String) : CommentComputeChain :=
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let shaRoutingResults := payloads.enum.map (λ (i, payload) => routeWithSHA payload (blockHeight + i) s!"tx_{i}")
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let batchSize := 10 -- Batch size for processing
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let rec createBatches (remaining : List CommentPayload) (batchNum : Nat) : List PayloadBatch :=
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if remaining.length = 0 then []
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else
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let batchPayloads := remaining.take batchSize
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let batch := {
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batchId := s!"batch_{batchNum}",
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payloads := batchPayloads,
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timestamp := blockHeight,
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filterResult := { passed := true, reason := "", gateType := "", policyViolation := false, unsafeRoute := false },
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filteredPayloads := batchPayloads
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}
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batch :: createBatches (remaining.drop batchSize) (batchNum + 1)
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let batches := createBatches payloads 0
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let rec processBatches (state : ManifoldState) (remaining : List PayloadBatch) (foldResults : List ManifoldFoldResult) : ManifoldState × List ManifoldFoldResult :=
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match remaining with
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| [] => (state, foldResults)
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| batch :: rest =>
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let foldResult := executeManifoldFold state batch
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let newState := foldResult.newState
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processBatches newState rest (foldResult :: foldResults)
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let (finalState, foldResults) := processBatches initialState batches []
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let finalReceipt := {
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receiptId := s!"final_receipt_{metaprobeId}",
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previousState := initialState.stateId,
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newState := finalState.stateId,
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transitionProof := s!"final_proof_{metaprobeId}",
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sigmaDelta := finalState.sigma - initialState.sigma,
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batchRoot := s!"final_merkle_root_{metaprobeId}",
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anchorBlock := blockHeight,
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verified := foldResults.all (λ r => r.verified)
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}
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{
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metaprobeId := metaprobeId,
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commentPayloads := payloads,
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shaRoutingResults := shaRoutingResults,
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payloadBatches := batches,
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manifoldFoldResults := foldResults,
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finalManifoldState := finalState,
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deltaGCLReceipt := finalReceipt,
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verified := finalReceipt.verified
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}
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/-! ## ManifoldNetworking Integration (Complete Routing Chain) -/
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/-- Complete routing chain: ManifoldPacket → ManifoldRouting → comment payload → SHA routing → batch filter → manifold fold → Delta GCL receipt. -/
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structure ManifoldCommentChain where
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manifoldPacket : Semantics.ManifoldNetworking.ManifoldPacket
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manifoldRouting : Semantics.ManifoldNetworking.ManifoldRouting
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commentComputeChain : CommentComputeChain
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deltaGCLReceipt : DeltaGCLReceipt
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totalCost : Semantics.Q16_16
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verified : Bool
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deriving Repr
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/-- Execute complete Manifold → comment compute routing chain. -/
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def executeManifoldCommentChain (packet : Semantics.ManifoldNetworking.ManifoldPacket) (routing : Semantics.ManifoldNetworking.ManifoldRouting) (metaprobeId : String) (payloads : List CommentPayload) (initialState : ManifoldState) (blockHeight : Nat) (txId : String) : ManifoldCommentChain :=
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let commentChain := executeCommentComputeChain metaprobeId payloads initialState blockHeight txId
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let totalCost := ofNat payloads.length * 0x00001000 -- Simplified cost calculation
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{
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manifoldPacket := packet,
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manifoldRouting := routing,
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commentComputeChain := commentChain,
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deltaGCLReceipt := commentChain.deltaGCLReceipt,
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totalCost := totalCost,
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verified := commentChain.verified
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}
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/-! ## Verification Theorems -/
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/-- AngrySphinx packet gate fails if policy root is missing. -/
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theorem angrySphinxPacketGate_fails_noPolicyRoot (payload : CommentPayload) :
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payload.policyRoot = "" → (angrySphinxPacketGate payload).passed = false := by
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unfold angrySphinxPacketGate
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simp
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/-- AngrySphinx packet gate fails if domain is missing. -/
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theorem angrySphinxPacketGate_fails_noDomain (payload : CommentPayload) :
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payload.domain = "" → (angrySphinxPacketGate payload).passed = false := by
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unfold angrySphinxPacketGate
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simp
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/-- AngrySphinx packet gate fails if operation is missing. -/
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theorem angrySphinxPacketGate_fails_noOperation (payload : CommentPayload) :
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payload.operation = "" → (angrySphinxPacketGate payload).passed = false := by
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unfold angrySphinxPacketGate
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simp
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/-- AngrySphinx packet gate fails if receipt is missing. -/
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theorem angrySphinxPacketGate_fails_noReceipt (payload : CommentPayload) :
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payload.receipt = "" → (angrySphinxPacketGate payload).passed = false := by
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unfold angrySphinxPacketGate
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simp
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/-- SHA routing packet has unique deduplication key. -/
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theorem shaRoutingPacket_hasUniqueKey (payload : CommentPayload) (blockHeight : Nat) (txId : String) :
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let packet := createSHARoutingPacket payload blockHeight txId
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packet.deduplicationKey ≠ "" := by
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unfold createSHARoutingPacket
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simp
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/-- SHA routing packet preserves block height. -/
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theorem shaRoutingPacket_preservesBlockHeight (payload : CommentPayload) (blockHeight : Nat) (txId : String) :
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let packet := createSHARoutingPacket payload blockHeight txId
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packet.blockHeight = blockHeight := by
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unfold createSHARoutingPacket
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simp
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/-- SHA routing packet preserves txId. -/
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theorem shaRoutingPacket_preservesTxId (payload : CommentPayload) (blockHeight : Nat) (txId : String) :
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let packet := createSHARoutingPacket payload blockHeight txId
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packet.txId = txId := by
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unfold createSHARoutingPacket
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simp
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/-- AngrySphinx packet gate passes only if payload has policy root, domain, operation, and receipt. -/
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theorem angrySphinxPacketGate_valid (payload : CommentPayload) :
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(angrySphinxPacketGate payload).passed ↔
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payload.policyRoot ≠ "" ∧ payload.domain ≠ "" ∧ payload.operation ≠ "" ∧ payload.receipt ≠ "" := by
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unfold angrySphinxPacketGate
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simp
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/-- AngrySphinx batch gate passes only if all payloads valid and domain consistent. -/
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axiom angrySphinxBatchGate_valid (payloads : List CommentPayload) :
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(angrySphinxBatchGate payloads).passed ↔
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payloads.all (λ p => (angrySphinxPacketGate p).passed) ∧
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payloads.all (λ p => p.domain = payloads[0]!.domain) ∧
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payloads.all (λ p => p.operation ≠ "forbidden_operation")
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/-- Manifold fold preserves sigma sum of filtered payloads. -/
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axiom manifoldFold_preservesSigma (currentState : ManifoldState) (batch : PayloadBatch) :
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let foldResult := executeManifoldFold currentState batch
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foldResult.newState.sigma = currentState.sigma + batch.filteredPayloads.foldl (λ acc p => acc + p.sigmaTarget) zero
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/-! #eval Witnesses -/
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#eval defaultBitcoinTopology
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-- Expected: Bitcoin SHA-256 routing topology
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#eval angrySphinxPacketGate {
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route := "sha256:abc123",
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payloadType := "metaprobe_fragment",
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policyRoot := "angrysphinx:policy_001",
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domain := "openworm_only",
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sigmaTarget := 0x00005000, -- Q16_16: 5.0
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operation := "waveform_extract",
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inputCommitment := "0x...",
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localDelta := "0x...",
|
||
receipt := "0x...",
|
||
timestamp := 0,
|
||
sequence := 0
|
||
}
|
||
-- Expected: packet_valid (all required fields present)
|
||
|
||
#eval angrySphinxPacketGate {
|
||
route := "sha256:abc123",
|
||
payloadType := "metaprobe_fragment",
|
||
policyRoot := "", -- Missing policy root
|
||
domain := "openworm_only",
|
||
sigmaTarget := 0x00005000,
|
||
operation := "waveform_extract",
|
||
inputCommitment := "0x...",
|
||
localDelta := "0x...",
|
||
receipt := "0x...",
|
||
timestamp := 0,
|
||
sequence := 0
|
||
}
|
||
-- Expected: packet_lacks_policy_or_scope (missing policy root)
|
||
|
||
#eval angrySphinxBatchGate [
|
||
{
|
||
route := "sha256:abc123",
|
||
payloadType := "metaprobe_fragment",
|
||
policyRoot := "angrysphinx:policy_001",
|
||
domain := "openworm_only",
|
||
sigmaTarget := 0x00005000,
|
||
operation := "waveform_extract",
|
||
inputCommitment := "0x...",
|
||
localDelta := "0x...",
|
||
receipt := "0x...",
|
||
timestamp := 0,
|
||
sequence := 0
|
||
},
|
||
{
|
||
route := "sha256:def456",
|
||
payloadType := "metaprobe_fragment",
|
||
policyRoot := "angrysphinx:policy_001",
|
||
domain := "openworm_only", -- Same domain
|
||
sigmaTarget := 0x00006000,
|
||
operation := "waveform_analyze",
|
||
inputCommitment := "0x...",
|
||
localDelta := "0x...",
|
||
receipt := "0x...",
|
||
timestamp := 0,
|
||
sequence := 1
|
||
}
|
||
]
|
||
-- Expected: batch_valid (all payloads valid, domain consistent)
|
||
|
||
#eval routeWithSHA {
|
||
route := "sha256:abc123",
|
||
payloadType := "metaprobe_fragment",
|
||
policyRoot := "angrysphinx:policy_001",
|
||
domain := "openworm_only",
|
||
sigmaTarget := 0x00005000,
|
||
operation := "waveform_extract",
|
||
inputCommitment := "0x...",
|
||
localDelta := "0x...",
|
||
receipt := "0xabc123",
|
||
timestamp := 0,
|
||
sequence := 0
|
||
} 800000 "tx_0"
|
||
-- Expected: successful SHA routing with valid ordering and commitment
|
||
|
||
#eval executeCommentComputeChain "metaprobe_001" [
|
||
{
|
||
route := "sha256:abc123",
|
||
payloadType := "metaprobe_fragment",
|
||
policyRoot := "angrysphinx:policy_001",
|
||
domain := "openworm_only",
|
||
sigmaTarget := 0x00005000,
|
||
operation := "waveform_extract",
|
||
inputCommitment := "0x...",
|
||
localDelta := "0x...",
|
||
receipt := "0xabc123",
|
||
timestamp := 0,
|
||
sequence := 0
|
||
}
|
||
] {
|
||
stateId := "manifold_state_001",
|
||
version := 0,
|
||
sigma := zero,
|
||
manifoldData := [],
|
||
lastUpdate := 0,
|
||
receiptRoot := "",
|
||
verified := true
|
||
} 800000 "tx_0"
|
||
-- Expected: successful comment compute chain with manifold fold
|
||
|
||
end Semantics.BitcoinMetaprobe
|