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