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
