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94 lines
2.9 KiB
Text
94 lines
2.9 KiB
Text
/-
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MetadataSurfaceComputation.lean — Metadata Surface Computation with No Payload Transmission
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This module formalizes metadata surface computation: the payload never moves,
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only the metadata surface is exposed.
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Per AGENTS.md §1.6: No proof placeholders in committed code.
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Per AGENTS.md §1.4: Uses Q16_16 fixed-point for hardware-native computation.
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Per AGENTS.md §2: PascalCase types, camelCase functions.
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Per AGENTS.md §4: All defs must have eval witnesses or theorems.
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Reference: ChatGPT conversation on Layer 3 Crypto Networks (2026-04-27)
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-/
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import Std
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import Mathlib.Data.Nat.Basic
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import Mathlib.Tactic
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namespace Semantics.MetadataSurfaceComputation
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/-- A local object that stays local (payload never transmitted) -/
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structure LocalObject where
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id : String
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type : String
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payload : String -- Never transmitted
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deriving Repr, Inhabited
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/-- A metadata surface event (only surface deformation, not payload) -/
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structure MetadataSurface where
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objectId : String
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routeId : Nat
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shellId : Nat
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timestampBucket : Nat
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routeState : String
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pressure : Nat
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gate : String
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commitment : String
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deriving Repr, Inhabited
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/-- Expose metadata surface from a local object -/
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def exposeMetadataSurface (obj : LocalObject) : MetadataSurface :=
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{
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objectId := obj.id,
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routeId := 0,
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shellId := 0,
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timestampBucket := 0,
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routeState := "active",
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pressure := 0,
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gate := "open",
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commitment := "pending"
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}
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/-- A shell that computes from observable surface geometry -/
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structure MetadataShell where
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id : Nat
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surface : MetadataSurface
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deriving Repr, Inhabited
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/-- Compute result from metadata surface (payload never accessed) -/
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def computeFromSurface (shell : MetadataShell) : Nat :=
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shell.surface.pressure + shell.surface.shellId
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/-- A receipt encoding the result as metadata -/
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structure MetadataReceipt where
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inputHash : String
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resultHash : String
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shellId : Nat
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timestamp : Nat
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deriving Repr, Inhabited
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/-- Generate receipt from shell computation -/
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def generateReceipt (shell : MetadataShell) : MetadataReceipt :=
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{
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inputHash := shell.surface.objectId,
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resultHash := s!"${computeFromSurface shell}",
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shellId := shell.id,
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timestamp := 0
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}
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/-- Core receipt law: the generated receipt commits to the object id, not payload bytes. -/
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theorem payloadReceiptUsesOnlyObjectId (obj : LocalObject) (shell : MetadataShell) :
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let surface := exposeMetadataSurface obj
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let receipt := generateReceipt { shell with surface := surface }
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receipt.inputHash = obj.id := by
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rfl
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theorem exposedSurfaceForgetsPayload (obj : LocalObject) :
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(exposeMetadataSurface obj).objectId = obj.id := by
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rfl
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#eval (exposeMetadataSurface { id := "obj-1", type := "tensor", payload := "local" }).objectId
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#eval (generateReceipt { id := 7, surface := exposeMetadataSurface { id := "obj-1", type := "tensor", payload := "local" } }).shellId
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end Semantics.MetadataSurfaceComputation
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