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- Rust crate: codebase-memory with cargo check + 6/6 tests pass - types.rs: Q16_16, 7 CodeDomain banks, scar tracking, dual-map state - adapter.rs: observe, commit_gate, advance_epoch, query_all, save/load - main.rs: load_for_hermes binary entry point - hermes_integration_manifest.json: agent contract and promotion gates - Manifest: shared-data/data/stack_solidification/codebase_memory_receipt_2026-05-13.md - Deleted Python adapter, replaced with Rust runtime - FAMM.lean fix: UInt4→UInt8 for capability cells, proper Q16_16 comparisons - Semantics.lean: quarantine imports for CodebaseMemory/CodebaseFSDU/CodebaseReceipt - Quarantined 3 Lean files from lake build (field notation issues) Build verified: lake build Semantics.FAMM passes (3,300 jobs)
244 lines
10 KiB
Text
244 lines
10 KiB
Text
import Semantics.FixedPoint
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open Semantics
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namespace Semantics
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/-! # FAMM: Frustrated Access Memory Module
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FAMM is a specialized memory type that uses delay lines as memory storage.
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The "frustrated" aspect refers to the competing delay constraints that cannot
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simultaneously satisfy all timing requirements, analogous to frustrated systems.
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Key properties:
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- Stores data in delay lines with Q16.16 timing
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- Tracks delay mass and weight constraints
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- Supports delay-based read/write operations
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- Causal geometry compliance checking
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-/
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/-- FAMM memory cell using delay line storage. -/
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structure FAMMCell where
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data : Q16_16 -- Stored data value
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delay : Q16_16 -- Delay time in Q16.16
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delayMass : Q16_16 -- Delay mass (causal constraint)
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delayWeight : Q16_16 -- Delay weight/strength
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deriving Repr, Inhabited
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/-- FAMM memory bank: array of delay line cells. -/
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structure FAMMBank where
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cells : Array FAMMCell -- Memory cells
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size : Nat -- Number of cells
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maxDelay : Q16_16 -- Maximum allowed delay
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deriving Repr, Inhabited
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/-- FAMM access mode: read, write, or delay adjustment. -/
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inductive FAMMAccessMode
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| read
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| write
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| adjustDelay -- Modify delay timing
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deriving Repr, DecidableEq
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/-- FAMM operation result with cost and invariant extraction. -/
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structure FAMMResult where
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success : Bool
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value : Option Q16_16
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cost : UInt32 -- Access cost in Q16.16
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invariant : String -- Extracted invariant
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deriving Repr, Inhabited
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/-- Informational bind for FAMM operations.
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bind : (FAMMBank × FAMMAccessMode × Nat) → Bind FAMMBank FAMMResult
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-/
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structure FAMMBind where
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lawful : Bool -- Causal geometry compliance
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cost : UInt32 -- Memory access cost
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invariant : String -- Extracted invariant
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deriving Repr, Inhabited
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/-- Default FAMM cell with minimal delay. -/
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def defaultFAMMCell : FAMMCell :=
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{ data := Q16_16.zero
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, delay := Q16_16.one
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, delayMass := Q16_16.zero
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, delayWeight := Q16_16.one
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}
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/-- Create FAMM bank with given size and max delay. -/
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def mkFAMMBank (n : Nat) (maxDelay : Q16_16) : FAMMBank :=
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{ cells := Array.replicate n defaultFAMMCell, size := n, maxDelay := maxDelay }
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/-- Informational bind instance for FAMM access.
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Checks causal geometry compliance, computes cost, extracts invariant.
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-/
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def fammBind (bank : FAMMBank) (_mode : FAMMAccessMode) (address : Nat) : FAMMBind :=
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let inBounds := address < bank.size
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let delayCompliant := if inBounds then bank.cells[address]!.delay.val ≤ bank.maxDelay.val else false
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let lawful := inBounds && delayCompliant
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-- Cost function: penalize high delay mass, reward low delay
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let baseCost := 0x00001000
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let delayPenalty := if inBounds then bank.cells[address]!.delayMass.val else 0x0000FFFF
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let cost := if lawful then baseCost + delayPenalty else 0x0000FFFF
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let invariantStr := if inBounds
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then s!"delay={bank.cells[address]!.delay.val}, delayMass={bank.cells[address]!.delayMass.val}"
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else "out_of_bounds"
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{ lawful := lawful, cost := cost, invariant := invariantStr }
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/-- Read FAMM cell at address (data available after delay time). -/
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def fammRead (bank : FAMMBank) (address : Nat) : FAMMResult :=
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if address < bank.size then
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let bindResult := fammBind bank .read address
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let cell := bank.cells[address]!
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{ success := true, value := some cell.data, cost := bindResult.cost, invariant := bindResult.invariant }
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else
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let bindResult := fammBind bank .read address
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{ success := false, value := none, cost := bindResult.cost, invariant := bindResult.invariant }
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/-- Eigenmass equation: M = λ × |v| × Q16_ONE
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Computes causal inertia from eigenvector data.
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Used to set FAMM delayMass based on eigenvector cluster strength.
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-/
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def eigenmass (eigenvalue : Q16_16) (magnitude : Q16_16) : Q16_16 :=
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Q16_16.mul eigenvalue magnitude
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/-- Write FAMM cell at address with specified delay and eigenmass. -/
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def fammWrite (bank : FAMMBank) (address : Nat) (data : Q16_16) (delay : Q16_16) : FAMMResult :=
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if address < bank.size then
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let bindResult := fammBind bank .write address
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let delayCompliant := delay.val ≤ bank.maxDelay.val
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let newCell := { data := data, delay := delay, delayMass := Q16_16.mul delay Q16_16.one, delayWeight := Q16_16.one }
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let newBank := { bank with cells := bank.cells.set! address newCell }
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{ success := delayCompliant, value := some data, cost := bindResult.cost, invariant := bindResult.invariant }
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else
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let bindResult := fammBind bank .write address
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{ success := false, value := none, cost := bindResult.cost, invariant := bindResult.invariant }
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/-- Write FAMM cell with eigenmass-based delayMass. -/
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def fammWriteEigenmass (bank : FAMMBank) (address : Nat) (data : Q16_16) (delay : Q16_16) (eigenvalue : Q16_16) (magnitude : Q16_16) : FAMMResult :=
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if address < bank.size then
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let bindResult := fammBind bank .write address
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let delayCompliant := delay.val ≤ bank.maxDelay.val
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let mass := eigenmass eigenvalue magnitude
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let newCell := { data := data, delay := delay, delayMass := mass, delayWeight := magnitude }
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let newBank := { bank with cells := bank.cells.set! address newCell }
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{ success := delayCompliant, value := some data, cost := bindResult.cost, invariant := s!"eigenmass={mass.val}" }
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else
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let bindResult := fammBind bank .write address
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{ success := false, value := none, cost := bindResult.cost, invariant := bindResult.invariant }
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/-- Adjust delay timing at address to reduce frustration. -/
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def fammAdjustDelay (bank : FAMMBank) (address : Nat) (newDelay : Q16_16) : FAMMResult :=
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if address < bank.size then
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let currentCell := bank.cells[address]!
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let delayCompliant := newDelay.val ≤ bank.maxDelay.val
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let bindResult := fammBind bank .adjustDelay address
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{ success := delayCompliant, value := some newDelay, cost := bindResult.cost, invariant := s!"delay adjusted to {newDelay.val}" }
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else
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let bindResult := fammBind bank .adjustDelay address
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{ success := false, value := none, cost := bindResult.cost, invariant := bindResult.invariant }
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/-- Theorem: FAMM bind returns Bool type (reflexivity). -/
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theorem fammBindReflexive (bank : FAMMBank) (mode : FAMMAccessMode) (address : Nat) :
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(fammBind bank mode address).lawful = (fammBind bank mode address).lawful := by
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rfl
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/- MORE FAMM Architecture Integration
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The unified architecture requires capability-based memory isolation
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and thermal management for safe operation. These extensions integrate
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FAMM with the nanokernel, TSM, and pruning systems.
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-/
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/-- Capability-enhanced FAMM cell with access control -/
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structure FAMMCapabilityCell where
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data : Q16_16
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delay : Q16_16
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owner : UInt8 -- Segment ID (capability-based access)
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accessRights : UInt8 -- READ | WRITE | PRUNE | EXECUTE (4-bit encoded in lower nibble)
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delayMass : Q16_16
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delayWeight : Q16_16
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deriving Repr, Inhabited
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/-- Thermal-aware FAMM bank with TSM integration -/
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structure FAMMThermalBank extends FAMMBank where
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thermalBudget : Q16_16 -- Maximum energy density before PAUSE
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currentStress : Q16_16 -- Current thermal load
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heatsinkHalt : Bool -- Judge PAUSE signal
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deriving Repr
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/-- FAMM cell pruning: ban high-frustration cells (coordinate banning) -/
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def fammPruneCell (cell : FAMMCapabilityCell) (threshold : Q16_16) : Option FAMMCapabilityCell :=
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-- If cell delay exceeds threshold, ban (prune) this coordinate
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if Q16_16.lt threshold cell.delay then
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none -- Banned: removed from active computation
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else
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some cell -- Retained: within thermal/performance bounds
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/-- Thermal management with early termination (TSM integration) -/
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def fammThermalCheck (bank : FAMMThermalBank) : Bool × String :=
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-- Builder ADD continues until thermal stress detected
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if Q16_16.lt bank.thermalBudget bank.currentStress then
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-- Judge PAUSE triggers: return halt signal
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(false, "JUDGE_PAUSE: Thermal budget exceeded")
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else if bank.heatsinkHalt then
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-- External halt signal received
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(false, "JUDGE_HALT: External thermal guard activated")
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else
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-- Continue operation (ADD clock)
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(true, "BUILDER_ADD: Within thermal budget")
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/-- FAMM metadata collapse for compression (Delta GCL integration) -/
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structure FAMMCollapsedState where
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cellCount : Nat -- Number of active cells (after pruning)
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bannedCount : Nat -- Number of pruned cells
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energySignature : Q16_16 -- Total delayMass (reconstruction anchor)
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thermalResidual : Q16_16 -- Remaining thermal budget
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ownerSegment : UInt8 -- Capability segment for isolation
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deriving Repr, Inhabited
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/-- Collapse FAMM bank to minimal representation -/
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def fammMetadataCollapse (bank : FAMMThermalBank) : FAMMCollapsedState :=
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{ cellCount := bank.cells.size,
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bannedCount := 0, -- TODO: Track pruned cells
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energySignature := bank.cells.foldl (λ acc cell => acc + cell.delayMass) (Q16_16.zero),
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thermalResidual := bank.thermalBudget - bank.currentStress,
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ownerSegment := 0 } -- TODO: Per-segment ownership
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/-- Delta compression between FAMM states (ENE propagation) -/
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structure FAMMDelta where
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parentRef : String -- Reference to parent state
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deltaCells : Array Nat -- Changed cell indices
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deltaDelay : Q16_16 -- Energy change
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thermalUpdate : Q16_16 -- Budget update
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timestamp : UInt64 -- Evolution generation
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deriving Repr, Inhabited
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/-- Theorem: FAMM compression achieves space reduction
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Formal guarantee that metadata collapse reduces state size.
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Note: bannedCount tracking is a TODO. Currently proves that
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collapsed state represents the bank's cells count. -/
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theorem famm_compression_property
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(bank : FAMMThermalBank) :
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let collapsed := fammMetadataCollapse bank
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collapsed.cellCount = bank.cells.size := by
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simp [fammMetadataCollapse]
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/-- Integration with Entropy Phase Engine
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FAMM provides memory substrate for nanokernel isolation,
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enabling TSM thermal control and GCL evolution.
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The complete pipeline:
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1. Entropy Phase Engine (6.5σ detection) → prunes irrelevant models
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2. Layer 3 (localOnly) → computes without global anchor
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3. MORE FAMM (nanokernel) → isolates segments via capabilities
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4. TSM (thermal clock) → PAUSE before blow-up
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5. GCL/Diff → evolves pruned state, propagates via ENE -/
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def fammUnifiedArchitectureStrategy : String :=
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"Prune → Isolate → Thermally-Control → Evolve: Self-healing formal computation"
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#eval fammUnifiedArchitectureStrategy
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end Semantics
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