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

52 lines
2 KiB
Text

import Semantics.Waveprobe
import Semantics.AVMR
import Semantics.Adaptation
open Semantics
open Semantics.Spectrum
open AVMR
open Waveprobe
namespace KimiProber
/-! # Kimi k2.6 Weight Attestation
Logic to map neural weights to genome states and filter them via RGFlow.
-/
/-- A quantized Kimi weight segment. -/
structure KimiWeight where
val : Q1616
deriving Repr, DecidableEq
/-- Map a weight to an EventType (DNA base).
Heuristic: map the weight range [-1, 1] to A, T, G, C. -/
def weightToEventType (w : KimiWeight) : EventType :=
let raw := w.val.toNat
if raw < 16384 then .a -- [0, 0.25)
else if raw < 32768 then .t -- [0.25, 0.5)
else if raw < 49152 then .g -- [0.5, 0.75)
else .c -- [0.75, 1.0]
/-- Attest a weight segment using Waveprobe coincidence.
A segment is attested if its complex inner product with the lawfulness gate is high. -/
def attestWeight (w : KimiWeight) (gate : Waveprobe.State 1) : Bool :=
-- Represent the weight as a complex amplitude ψ = e^{i * weight * 2π}
let theta := (w.val.toNat.toFloat / 65536.0) * 2.0 * 3.14159
let psi : Waveprobe.State 1 := fun _ => Complex.exp (Complex.I * (Complex.ofReal theta))
-- Waveprobe.cdot gate psi returns the overlap
let overlap := Waveprobe.cdot gate psi
-- For now, we assume a simple threshold on the real part of the overlap
overlap.re > 0.5
/-- The core purification predicate for Kimi Weights.
A weight is "hardened" if it is attested and satisfies RGFlow lawfulness. -/
def isHardened (w : KimiWeight) (g : Adaptation.Genome) (gate : Waveprobe.State 1) : Bool :=
attestWeight w gate && Adaptation.isScaleCoherent g
/-- Map a list of weights to an AVMR Node (Unified Compression). -/
def weightStreamToNode (weights : List KimiWeight) (maxN : Nat) : List AVMR.Node :=
let events := weights.map (λ w => weightToEventType w)
let indices := List.range events.length
indices.zip events |>.filterMap (λ (i, e) => AVMR.mkLeaf i maxN i)
end KimiProber