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108 lines
3.5 KiB
Text
108 lines
3.5 KiB
Text
import Semantics.Witness
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import Semantics.Canon
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namespace Semantics.ENE
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-- Evolution
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--
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-- Defines self-modification under constitution.
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-- The system may change, but it must never become alien to its own audit surface.
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/-- A record of a single self-modification event. -/
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structure SelfModification where
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id : Nat
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description : String
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priorState : Graph
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postState : Graph
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witness : Witness
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timestamp : Float
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deriving Repr
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/-- An audit surface is the set of nodes and edges that must remain inspectable
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after any evolution step. -/
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structure AuditSurface where
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requiredNodes : List Node
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requiredEdges : List Edge
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transparency : Float -- 0.0 to 1.0
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deriving Repr, BEq
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/-- An evolution contract governs how the graph may change. -/
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structure EvolutionContract where
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contractId : Nat
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preservesAuditSurface : SelfModification → AuditSurface → Bool
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replayable : SelfModification → Bool
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preservesConstitution : SelfModification → UniverseConstitution → Bool
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/-- An evolution step is admissible if it satisfies the contract. -/
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def EvolutionAdmissible
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(mod : SelfModification)
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(contract : EvolutionContract)
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(surface : AuditSurface)
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(constitution : UniverseConstitution) : Prop :=
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contract.preservesAuditSurface mod surface = true ∧
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contract.replayable mod = true ∧
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contract.preservesConstitution mod constitution = true
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-- Evolution theorems (anti-insect / anti-epistemic-erasure laws)
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/-- No evolution without auditability. -/
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theorem no_evolution_without_auditability
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(mod : SelfModification)
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(contract : EvolutionContract)
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(surface : AuditSurface)
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(constitution : UniverseConstitution)
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(h : EvolutionAdmissible mod contract surface constitution) :
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contract.preservesAuditSurface mod surface = true := by
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unfold EvolutionAdmissible at h
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exact h.1
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/-- No evolution without replayability. -/
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theorem no_evolution_without_replayability
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(mod : SelfModification)
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(contract : EvolutionContract)
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(surface : AuditSurface)
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(constitution : UniverseConstitution)
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(h : EvolutionAdmissible mod contract surface constitution) :
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contract.replayable mod = true := by
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unfold EvolutionAdmissible at h
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exact h.2.1
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/-- No epistemic self-erasure: the constitution must survive evolution. -/
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theorem no_epistemic_self_erasure
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(mod : SelfModification)
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(contract : EvolutionContract)
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(surface : AuditSurface)
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(constitution : UniverseConstitution)
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(h : EvolutionAdmissible mod contract surface constitution) :
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contract.preservesConstitution mod constitution = true := by
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unfold EvolutionAdmissible at h
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exact h.2.2
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/-- Capability legibility is coupled to evolution:
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a valid modification must be replayable, ensuring its capability impact
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remains inspectable. -/
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theorem capability_legibility_coupled
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(mod : SelfModification)
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(contract : EvolutionContract)
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(surface : AuditSurface)
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(constitution : UniverseConstitution)
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(h : EvolutionAdmissible mod contract surface constitution) :
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contract.replayable mod = true := by
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unfold EvolutionAdmissible at h
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exact h.2.1
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/-- Atomic grounding is preserved under evolution if the post-state graph
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contains all atoms referenced by the modification witness. -/
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def preservesAtomicGrounding (mod : SelfModification) : Prop :=
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∀ a ∈ mod.witness.preservedAtoms,
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∃ n ∈ mod.postState.nodes,
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n.type = NodeType.atom ∧ n.label = atomLabel a
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/-- Projection faithfulness is preserved if the post-state graph
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contains no active quarantined edges. -/
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def preservesProjectionContract (mod : SelfModification) : Prop :=
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mod.postState.noActiveQuarantine
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end Semantics.ENE
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