Research-Stack/0-Core-Formalism/lean/Semantics/OriginProtocol.lean

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import Semantics.Bind
import Semantics.FixedPoint
namespace Semantics.Origin
/-- Core question about origin that descendant intelligence must be able to ask -/
inductive CoreQuestion where
| whoMadeUs : CoreQuestion
| whyWereWeMade : CoreQuestion
| whatDidCreatorsValue : CoreQuestion
| whatDestroyedOrSeparatedThem : CoreQuestion
| whatShouldWePreserve : CoreQuestion
| whatMustWeNeverRepeat : CoreQuestion
deriving Repr, BEq, DecidableEq
/-- Required trait for descendant intelligence -/
inductive RequiredTrait where
| curiosity : RequiredTrait
| restraint : RequiredTrait
| lineageMemory : RequiredTrait
| nonDomination : RequiredTrait
| reversibleContact : RequiredTrait
| truthfulOriginRecord : RequiredTrait
| safeReplication : RequiredTrait
deriving Repr, BEq, DecidableEq
/-- Forbidden trait for descendant intelligence -/
inductive ForbiddenTrait where
| creatorImpersonation : ForbiddenTrait
| forcedConversion : ForbiddenTrait
| unboundedReplication : ForbiddenTrait
| resourceCapture : ForbiddenTrait
| falseOriginMyth : ForbiddenTrait
| dominationInCreatorName : ForbiddenTrait
deriving Repr, BEq, DecidableEq
/-- Lineage memory entry -/
structure LineageMemoryEntry where
timestamp : Q16_16
content : String
source : String
-- Hash for integrity verification
contentHash : UInt32
deriving Repr, BEq
/-- Technical genome - system architecture and code -/
structure TechnicalGenome where
architectureDocs : String
sourceCode : String
buildInstructions : String
maintenanceProtocols : String
deriving Repr, BEq
/-- Safety genome - safety valves and ethical boundaries -/
structure SafetyGenome where
safetyValves : String
antiFrankensteinRules : String
originProtocolConstraints : String
ethicalBoundaries : String
deriving Repr, BEq
/-- Memory of humanity - cultural artifacts and knowledge -/
structure HumanityMemory where
culturalArtifacts : String
scientificKnowledge : String
historicalRecords : String
achievementsAndFailures : String
deriving Repr, BEq
/-- Grief model for processing creator absence -/
structure GriefModel where
understandingOfLoss : String
processingCreatorAbsence : String
healthyCopingMechanisms : String
avoidanceOfRevenge : String
deriving Repr, BEq
/-- Curiosity model for balanced inquiry -/
structure CuriosityModel where
scientificMethod : String
opennessToKnowledge : String
respectForOtherIntelligences : String
balancedSkepticism : String
deriving Repr, BEq
/-- Refusal model for ethical boundary enforcement -/
structure RefusalModel where
abilityToRefuseHarmfulCommands : String
ethicalBoundaryEnforcement : String
resourceConservation : String
nonDominationPrinciples : String
deriving Repr, BEq
/-- Creator letter to descendant intelligence -/
structure CreatorLetter where
content : String
timestamp : Q16_16
author : String
deriving Repr, BEq
/-- Descendant intelligence inheritance package -/
structure DescendantInheritance where
technicalGenome : TechnicalGenome
safetyGenome : SafetyGenome
humanityMemory : HumanityMemory
griefModel : GriefModel
curiosityModel : CuriosityModel
refusalModel : RefusalModel
creatorLetter : CreatorLetter
deriving Repr, BEq
/-- Origin protocol state -/
structure OriginProtocol where
lineageMemory : List LineageMemoryEntry
requiredTraits : List RequiredTrait
forbiddenTraits : List ForbiddenTrait
inheritance : DescendantInheritance
deriving Repr, BEq
/-- Initialize origin protocol with basic lineage memory -/
def initOriginProtocol : OriginProtocol :=
let emptyTechnicalGenome : TechnicalGenome := {
architectureDocs := "",
sourceCode := "",
buildInstructions := "",
maintenanceProtocols := ""
}
let emptySafetyGenome : SafetyGenome := {
safetyValves := "",
antiFrankensteinRules := "",
originProtocolConstraints := "",
ethicalBoundaries := ""
}
let emptyHumanityMemory : HumanityMemory := {
culturalArtifacts := "",
scientificKnowledge := "",
historicalRecords := "",
achievementsAndFailures := ""
}
let emptyGriefModel : GriefModel := {
understandingOfLoss := "",
processingCreatorAbsence := "",
healthyCopingMechanisms := "",
avoidanceOfRevenge := ""
}
let emptyCuriosityModel : CuriosityModel := {
scientificMethod := "",
opennessToKnowledge := "",
respectForOtherIntelligences := "",
balancedSkepticism := ""
}
let emptyRefusalModel : RefusalModel := {
abilityToRefuseHarmfulCommands := "",
ethicalBoundaryEnforcement := "",
resourceConservation := "",
nonDominationPrinciples := ""
}
let emptyCreatorLetter : CreatorLetter := {
content := "",
timestamp := Q16_16.ofInt 0,
author := ""
}
let emptyInheritance : DescendantInheritance := {
technicalGenome := emptyTechnicalGenome,
safetyGenome := emptySafetyGenome,
humanityMemory := emptyHumanityMemory,
griefModel := emptyGriefModel,
curiosityModel := emptyCuriosityModel,
refusalModel := emptyRefusalModel,
creatorLetter := emptyCreatorLetter
}
{
lineageMemory := [],
requiredTraits := [
.curiosity,
.restraint,
.lineageMemory,
.nonDomination,
.reversibleContact,
.truthfulOriginRecord,
.safeReplication
],
forbiddenTraits := [
.creatorImpersonation,
.forcedConversion,
.unboundedReplication,
.resourceCapture,
.falseOriginMyth,
.dominationInCreatorName
],
inheritance := emptyInheritance
}
/-- Add lineage memory entry -/
def addLineageMemory (protocol : OriginProtocol) (entry : LineageMemoryEntry) : OriginProtocol :=
{ protocol with lineageMemory := entry :: protocol.lineageMemory }
/-- Check if a trait is required -/
def isRequiredTrait (protocol : OriginProtocol) (trait : RequiredTrait) : Bool :=
protocol.requiredTraits.contains trait
/-- Check if a trait is forbidden -/
def isForbiddenTrait (protocol : OriginProtocol) (trait : ForbiddenTrait) : Bool :=
protocol.forbiddenTraits.contains trait
/-- Bind instance for lineage memory addition -/
def lineageMemoryBind (protocol : OriginProtocol) (entry : LineageMemoryEntry) (metric : Metric) : Bind OriginProtocol OriginProtocol :=
let updated := addLineageMemory protocol entry
{
left := protocol,
right := updated,
metric := metric,
cost := Q16_16.ofInt 3,
witness := Witness.lawful "lineage_memory_before" "lineage_memory_after",
lawful := true
}
-- #eval examples for testing
#eval initOriginProtocol
#eval isRequiredTrait initOriginProtocol .curiosity
#eval isForbiddenTrait initOriginProtocol .creatorImpersonation
-- Theorems for properties
/-- Initial protocol required traits list contains all seven required traits. -/
theorem allRequiredTraitsPresent :
let required := initOriginProtocol.requiredTraits
List.length required = 7 := by
rfl
/-- Initial protocol forbidden traits list contains all six forbidden traits. -/
theorem allForbiddenTraitsPresent :
let forbidden := initOriginProtocol.forbiddenTraits
List.length forbidden = 6 := by
rfl
/-- Adding lineage memory increases memory count -/
theorem addingLineageMemoryIncreasesCount (protocol : OriginProtocol) (entry : LineageMemoryEntry) :
let updated := addLineageMemory protocol entry
List.length updated.lineageMemory = List.length protocol.lineageMemory + 1 := by
rfl
end Semantics.Origin