-- Delta Kernel Compression -- Applies user's 3-layer Delta-GCL compression to kernel image -- -- Target: 50KB compressed kernel (vs 1.5MB uncompressed) -- Based on: braid_event_delta_gcl.py 3-layer stack module DeltaKernelCompression where -- ═══════════════════════════════════════════════════════════════════════════ -- §1 Layer 1 — Delta Encoding (Kernel as Diff from Reference) -- ═══════════════════════════════════════════════════════════════════════════ /-- Instead of storing full kernel, store diff from "universal kernel template". The template is a minimal Linux config that all deltas apply to. Template kernel: 1MB (shared, not stored per-instance) Delta: ~200KB (the actual differences) This is like encoding event[n+1] as diff from event[n] in braid events. -/ structure KernelDelta where templateHash : Hash -- Reference template (e.g., "linux-6.12-minimal-template") patches : List Patch structure Patch where offset : Address -- Where to patch data : Bytes -- New bytes (can be empty for deletions) /-- Apply delta to template to reconstruct full kernel. Similar to braid_event_delta_gcl.py delta decoding. -/ def applyDelta (template : KernelImage) (delta : KernelDelta) : KernelImage := let patched := foldl (\img p → patchAt p.offset p.data img) template delta.patches verifyChecksum delta.templateHash patched patched -- ═══════════════════════════════════════════════════════════════════════════ -- §2 Layer 2 — PTOS Field Dictionary (Syscall Encoding) -- ═══════════════════════════════════════════════════════════════════════════ /-- PTOS (Perfect Transformation Operating System) style syscall encoding. Instead of storing full syscall numbers, use byte indices into dictionary. This mirrors braid_event_delta_gcl.py's PTOS field dictionary: Factor magic-number tables to byte indices 8 syscalls × 8 bytes = 64 bytes dictionary Each syscall reference = 1 byte (index) vs 4 bytes (full number) -/ def syscallDictionary : Array Syscall := #[ .NetworkReceive -- 0x00 , .NetworkSend -- 0x01 , .TimerTick -- 0x02 , .BlockRead -- 0x03 , .BlockWrite -- 0x04 , .MemoryAllocate -- 0x05 , .ConsoleWrite -- 0x06 , .SocketAccept -- 0x07 ] /-- Encode syscall as single byte index. -/ def encodeSyscall (s : Syscall) : UInt8 := match syscallDictionary.findIdx (\x → x == s) with | some idx => UInt8.ofNat idx | none => 0xFF -- Invalid/error /-- Decode single byte to syscall. -/ def decodeSyscall (b : UInt8) : Option Syscall := let idx := b.toNat if idx < syscallDictionary.size then some syscallDictionary[idx]! else none -- ═══════════════════════════════════════════════════════════════════════════ -- §3 Layer 3 — Codon Instruction Encoding (Variable-Length) -- ═══════════════════════════════════════════════════════════════════════════ /-- Codon encoding for GCL bytecode instructions. Similar to braid_event: et ∈ {A,G,C,T} → fixed-Huffman codon Common instructions get shorter codes (Huffman-style): - Load/Store: 2-bit codes - Branch: 3-bit codes - Rare ops: 5-bit codes Average: ~3 bits per instruction vs 32 bits (4× compression) -/ inductive Codon where | Nop -- 00 (2 bits) | Load -- 01 (2 bits) | Store -- 10 (2 bits) | Add -- 110 (3 bits) | Sub -- 111 (3 bits) | Branch -- 1110 (4 bits) | Call -- 1111 (4 bits) | Syscall -- 11110 (5 bits) | Unknown -- 11111 (5 bits, escape for extended) /-- GCL instruction to codon. -/ def instructionToCodon (i : Instruction) : Codon := match i.opcode with | .NOP => .Nop | .LOAD => .Load | .STORE => .Store | .ADD => .Add | .SUB => .Sub | .BRANCH => .Branch | .CALL => .Call | .SYSCALL => .Syscall | _ => .Unknown /-- Stream of codons → bit-packed bytes. -/ def packCodons (codons : List Codon) : Bytes := -- Pack variable-length codes into byte stream -- Uses bit buffer: collect bits until we have 8, then emit byte let bits := codons.map codonBits bitPack bits -- ═══════════════════════════════════════════════════════════════════════════ -- §4 Combined Compression — 50KB Target -- ═══════════════════════════════════════════════════════════════════════════ /-- Full compression pipeline: 1. Start with GCL nanokernel source (~500KB of GCL code) 2. Compile to bytecode (~200KB) 3. Apply delta from template (~80KB delta) 4. Encode syscalls as PTOS dictionary (~60KB) 5. Pack instructions as codons (~50KB final) Total: 50KB compressed kernel image. -/ def compressKernel (source : GCLSource) : CompressedKernel := let bytecode := gclCompile source let delta := computeDelta templateKernel bytecode let ptosEncoded := encodeSyscalls delta syscallDictionary let codonPacked := packCodons (instructionsToCodons ptosEncoded) { compressed := codonPacked , compressionRatio := (source.size.toFloat / codonPacked.size.toFloat) , checksum := sha256 codonPacked , template := templateHash } -- ═══════════════════════════════════════════════════════════════════════════ -- §5 Decompression at Boot -- ═══════════════════════════════════════════════════════════════════════════ /-- Boot-time decompression. Runs in Linux shim before transferring control to GCL nanokernel. -/ def decompressKernel (compressed : CompressedKernel) : KernelImage := -- 1. Unpack codons let codons := unpackCodons compressed.compressed -- 2. Decode syscalls let syscalls := decodeSyscalls codons -- 3. Apply delta to template let template := loadTemplate compressed.template let bytecode := applyDelta template syscalls -- 4. Verify if sha256 bytecode == compressed.checksum then bytecode else panic "Kernel decompression failed: checksum mismatch" -- ═══════════════════════════════════════════════════════════════════════════ -- §6 Size Analysis -- ═══════════════════════════════════════════════════════════════════════════ /-- Expected sizes: Original GCL source: 500 KB Compiled bytecode: 200 KB (gclc -O2) After delta compression: 80 KB (60% reduction) After PTOS encoding: 60 KB (25% reduction) After codon packing: 50 KB (17% reduction) Linux shim (drivers only): ~20 KB (absolute minimum) Total boot image: ~70 KB (vs 1.5MB = 97% reduction!) Truth invariants: - Decompression verified against SHA256 - Codon table fixed (no runtime generation) - Delta template immutable (versioned) -/] def expectedSizes : String := "Layer 0 (GCL source): 500 KB\n" ++ "Layer 1 (bytecode): 200 KB (2.5:1)\n" ++ "Layer 2 (delta): 80 KB (2.5:1)\n" ++ "Layer 3 (PTOS dict): 60 KB (1.3:1)\n" ++ "Layer 4 (codon): 50 KB (1.2:1)\n" ++ "Linux shim: 20 KB\n" ++ "TOTAL: 70 KB (97% reduction)" end DeltaKernelCompression