""" quine.py — SilverSight Self-Replication Engine ============================================== Turing-complete weird machine built on AVM + FAMM + DNA co-evolution. Implements: Introspect, EncodeSelf, Replicate, Mutate, Heal, Boot. Gold standard: machine outputs binary that, when executed, produces functionally identical machine with same self-description. Author: allaunthefox License: MIT """ from __future__ import annotations import hashlib import json import lzma import struct from dataclasses import dataclass, field from typing import Dict, List, Optional, Tuple # ── DNA codec imports ────────────────────────────────────────────────────── # We import from dna_codec.py the core encoding functions try: from dna_codec import ( int_to_dna, dna_to_int, bytes_to_dna, dna_to_bytes, encode_with_metadata, decode_with_metadata, encode_all_solutions, dna_to_greek, greek_to_dna, ) from dna_lut import ( build_lut, find_optimal_lut, lookup_encode, lookup_decode, ) except ImportError: # Fallback: implement minimal codec if imports fail def int_to_dna(value: int, length: int) -> str: """Minimal int→DNA using alphabet ABCGPSTZ.""" ALPHABET = "ABCGPSTZ" if value < 0: raise ValueError("value must be non-negative") result = "" for _ in range(length): result = ALPHABET[value % 8] + result value //= 8 if value > 0: raise ValueError(f"value too large for {length} digits") return result def dna_to_int(dna: str) -> int: ALPHABET = "ABCGPSTZ" result = 0 for c in dna: result = result * 8 + ALPHABET.index(c) return result def bytes_to_dna(data: bytes) -> str: """Encode bytes as DNA by chunking (3 bytes → 8 bases).""" ALPHABET = "ABCGPSTZ" chunks = [] for i in range(0, len(data), 3): chunk = data[i:i+3] # Pad to exactly 3 bytes for consistent encoding chunk = chunk.ljust(3, b'\x00') val = int.from_bytes(chunk, "big") dna_chunk = "" for _ in range(8): dna_chunk = ALPHABET[val % 8] + dna_chunk val //= 8 chunks.append(dna_chunk) return "".join(chunks) def dna_to_bytes(dna: str) -> bytes: """Decode DNA to bytes by chunking (8 bases → 3 bytes).""" ALPHABET = "ABCGPSTZ" chunks = [] for i in range(0, len(dna), 8): chunk = dna[i:i+8] val = 0 for c in chunk: val = val * 8 + ALPHABET.index(c) chunks.append(val.to_bytes(3, "big")) return b"".join(chunks) def encode_with_metadata(data: bytes, lut, prefix: str = "A") -> dict: dna = bytes_to_dna(data) return {"dna": prefix + dna, "encoding_info": "minimal"} def decode_with_metadata(record: dict, lut) -> bytes: dna = record["dna"] if dna[0] == "A": dna = dna[1:] return dna_to_bytes(dna) def encode_all_solutions(solutions, **kwargs): return [{"x": s, "dna": int_to_dna(hash(s) % (8**10), 10), "energy": kwargs.get("energies", [0])[0]} for s in solutions] def dna_to_greek(dna: str) -> str: mapping = {"A": "Φ", "T": "Λ", "G": "Ρ", "C": "Κ", "B": "Ω", "S": "Σ", "P": "Π", "Z": "Ζ"} return "".join(mapping.get(c, c) for c in dna) def greek_to_dna(greek: str) -> str: mapping = {"Φ": "A", "Λ": "T", "Ρ": "G", "Κ": "C", "Ω": "B", "Σ": "S", "Π": "P", "Ζ": "Z"} return "".join(mapping.get(c, c) for c in greek) # ── Q16.16 fixed-point ──────────────────────────────────────────────────── Q16 = 16 Q_ONE = 1 << Q16 # 65536 def to_q16_16(value: float) -> int: """Convert float to Q16.16 fixed-point.""" return int(round(value * Q_ONE)) def from_q16_16(value: int) -> float: """Convert Q16.16 fixed-point to float.""" return value / Q_ONE # ── FAMM Cell (delay-line memory) ───────────────────────────────────────── @dataclass class FAMMCell: """Single FAMM delay-line cell.""" data: int = 0 # Q16.16 stored value delay: int = 0 # Q16.16 access delay delay_mass: int = 0 # Q16.16 causal constraint mass delay_weight: int = 0 # Q16.16 constraint strength def to_dict(self) -> dict: return { "data": self.data, "delay": self.delay, "delay_mass": self.delay_mass, "delay_weight": self.delay_weight, } @classmethod def from_dict(cls, d: dict) -> FAMMCell: return cls(d["data"], d["delay"], d["delay_mass"], d["delay_weight"]) # ── Scar (violation memory) ─────────────────────────────────────────────── @dataclass class Scar: """Persistent memory of a constraint violation.""" pressure: int # Q16.16 pressure value mode: str # violation mode (e.g., "SIDON_COLLISION", "GODEL_BOUNDARY") timestamp: int = 0 # generation counter when scar was created def to_dict(self) -> dict: return {"pressure": self.pressure, "mode": self.mode, "timestamp": self.timestamp} @classmethod def from_dict(cls, d: dict) -> Scar: return cls(d["pressure"], d["mode"], d.get("timestamp", 0)) # ── Machine State (everything that gets replicated) ─────────────────────── @dataclass class MachineState: """Complete state of the weird machine — this IS what gets replicated.""" # AVM core stack: List[str] = field(default_factory=list) fuel: int = 1000 instruction_pointer: int = 0 history: List[str] = field(default_factory=list) # FAMM memory famm_cells: List[FAMMCell] = field(default_factory=list) # Scars (persistent violation memory) scars: List[Scar] = field(default_factory=list) # Generation counter generation: int = 0 # Determinism seed seed: int = 42 def to_dict(self) -> dict: """Serialize to dictionary (JSON-compatible).""" return { "stack": self.stack, "fuel": self.fuel, "instruction_pointer": self.instruction_pointer, "history": self.history[-100:], # cap history "famm_cells": [c.to_dict() for c in self.famm_cells], "scars": [s.to_dict() for s in self.scars], "generation": self.generation, "seed": self.seed, } @classmethod def from_dict(cls, d: dict) -> MachineState: """Deserialize from dictionary.""" return cls( stack=d.get("stack", []), fuel=d.get("fuel", 1000), instruction_pointer=d.get("instruction_pointer", 0), history=d.get("history", []), famm_cells=[FAMMCell.from_dict(c) for c in d.get("famm_cells", [])], scars=[Scar.from_dict(s) for s in d.get("scars", [])], generation=d.get("generation", 0), seed=d.get("seed", 42), ) def total_famm_pressure(self) -> int: """Total scar pressure (Ω in Baker-analogue notation).""" return sum(s.pressure for s in self.scars) # ── Receipt (SilverSight standard) ──────────────────────────────────────── @dataclass class Receipt: """SilverSight Receipt — the interface between machine and verifier.""" receipt_id: str = "" expression: str = "" final_state: str = "Ζ" tic_count: int = 0 fuel_used: int = 0 path_cost: Optional[float] = None library_refs: List[str] = field(default_factory=list) verified: bool = False generation: int = 0 parent_id: str = "" scar_hash: str = "" identity_check: bool = False def to_dict(self) -> dict: return { "receiptID": self.receipt_id, "expression": self.expression, "finalState": self.final_state, "ticCount": self.tic_count, "fuelUsed": self.fuel_used, "pathCost": self.path_cost, "libraryRefs": self.library_refs, "verified": self.verified, "generation": self.generation, "parentID": self.parent_id, "scarHash": self.scar_hash, "identityCheck": self.identity_check, } # ── INTROSPECT: Read self → DNA ─────────────────────────────────────────── def introspect(state: MachineState) -> str: """ Read the current machine state and encode as DNA sequence. This is the self-description — the machine reading its own memory. Deterministic: same state → same DNA (required for replication). Args: state: current MachineState Returns: DNA sequence representing the complete machine state """ # Step 1: Serialize to JSON json_bytes = json.dumps(state.to_dict(), sort_keys=True).encode("utf-8") # Step 2: Compress compressed = lzma.compress(json_bytes) # Step 3: Encode as DNA dna = bytes_to_dna(compressed) # Step 4: Add header (version + length + checksum prefix) version_dna = "A" # version 1 length_bytes = len(compressed).to_bytes(4, "big") length_dna = int_to_dna(int.from_bytes(length_bytes, "big"), 6) # 8^11 = 8,589,934,592 > 2^32 = 4,294,967,296 checksum_prefix = int_to_dna( int(hashlib.sha256(compressed).hexdigest()[:8], 16), 11 ) return version_dna + length_dna + checksum_prefix + dna # ── ENCODESELF: DNA + bootstrap → binary ───────────────────────────────── BOOTSTRAP_CODE = ''' """ SilverSight Weird Machine Bootstrap This code reconstructs the machine from its DNA self-description. """ import lzma, json, hashlib, sys ALPHABET = "ABCGPSTZ" def dna_to_int(dna): result = 0 for c in dna: result = result * 8 + ALPHABET.index(c) return result def dna_to_bytes(dna): value = dna_to_int(dna) byte_len = (len(dna) + 1) // 2 return value.to_bytes(byte_len, "big") def reconstruct(compressed_dna): compressed = dna_to_bytes(compressed_dna) json_bytes = lzma.decompress(compressed) return json.loads(json_bytes.decode("utf-8")) if __name__ == "__main__": # Read DNA from stdin or file dna_input = sys.stdin.read().strip() # Skip header (1 + 6 + 8 = 15 chars) compressed_dna = dna_input[18:] state_dict = reconstruct(compressed_dna) print(json.dumps(state_dict, indent=2)) '''.strip() def encode_self(state: MachineState) -> bytes: """ Produce a binary quine: when executed, reconstructs the machine. Args: state: current MachineState Returns: bytes: Python script that reconstructs the machine from DNA """ # Step 1: Introspect (get DNA) dna = introspect(state) # Step 2: Build quine # The output script contains the DNA as a string literal # When run, it decodes the DNA and reconstructs the state quine_script = f'''#!/usr/bin/env python3 {BOOTSTRAP_CODE} # Embedded DNA self-description (generation {state.generation}) EMBEDDED_DNA = """{dna}""" if __name__ == "__main__": # Use embedded DNA if no stdin input dna_input = sys.stdin.read().strip() or EMBEDDED_DNA compressed_dna = dna_input[18:] state_dict = reconstruct(compressed_dna) print(json.dumps(state_dict, indent=2)) # TODO: actually reconstruct MachineState and resume execution ''' return quine_script.encode("utf-8") # ── REPLICATE: DNA → reconstructed state ────────────────────────────────── def replicate(dna: str) -> MachineState: """ Reconstruct machine state from DNA sequence. Args: dna: DNA sequence from introspect() Returns: MachineState: reconstructed state """ # Step 1: Parse header (1 + 6 + 11 = 18 chars) if len(dna) < 18: raise ValueError("DNA too short — invalid format") version = dna[0] # 'A' = version 1 if version != "A": raise ValueError(f"Unknown DNA version: {version}") length_dna = dna[1:7] expected_length = dna_to_int(length_dna) checksum_dna = dna[7:18] compressed_dna = dna[18:] # Step 2: Decode compressed data (trim to header length) compressed_padded = dna_to_bytes(compressed_dna) compressed = compressed_padded[:expected_length] # Step 3: Verify checksum checksum_int = dna_to_int(checksum_dna) expected_checksum = int.to_bytes(checksum_int, 4, "big") actual_checksum = hashlib.sha256(compressed).digest()[:4] if expected_checksum != actual_checksum: raise ValueError("Checksum mismatch — DNA corrupted or mutated") # Step 4: Decompress json_bytes = lzma.decompress(compressed) # Step 5: Deserialize state_dict = json.loads(json_bytes.decode("utf-8")) state = MachineState.from_dict(state_dict) # Step 6: Increment generation state.generation += 1 return state # ── VERIFY: Baker-analogue check ────────────────────────────────────────── def verify(state: MachineState) -> Tuple[bool, str]: """ Baker-analogue verification before replication. Checks: |Λ_t| ≥ ε(X_t) OR Ω(X_t) > 0 Returns: (pass, reason): whether state can safely replicate """ # Check 1: fuel > 0 (machine hasn't halted) if state.fuel <= 0: return False, "FUEL_EXHAUSTED" # Check 2: total scar pressure omega = state.total_famm_pressure() # Check 3: state size within bounds state_json = json.dumps(state.to_dict()) if len(state_json) > 10_000_000: return False, "STATE_TOO_LARGE" # Check 4: Gödel boundary — self-referential paradox detection # If the state's own description refers to itself in a circular way, # the scar field will have pressure from the GODEL_BOUNDARY mode godel_scars = [s for s in state.scars if s.mode == "GODEL_BOUNDARY"] if len(godel_scars) > 10: return False, "GODEL_RECURSION_LIMIT" # Baker-analogue: either rigidity (no excessive scars) or scar acceptance if omega < Q_ONE * 100: # threshold: 100.0 in Q16.16 return True, "RIGIDITY" # Case I: bounded away from zero else: return True, "SCAR_ACCEPT" # Case II: recorded as memory # ── MUTATE: Controlled variation ────────────────────────────────────────── def mutate(state: MachineState, target: str = "random") -> MachineState: """ Introduce controlled variation into state. Args: state: current MachineState target: mutation target ("random", "scar_decay", "fuel_boost") Returns: MachineState: mutated copy """ import copy new_state = copy.deepcopy(state) if target == "random": # Random mutation: flip one bit in a random FAMM cell if new_state.famm_cells: idx = hash(str(new_state.generation)) % len(new_state.famm_cells) cell = new_state.famm_cells[idx] cell.data ^= 1 # flip least significant bit elif target == "scar_decay": # Reduce scar pressure (forget old violations) for scar in new_state.scars: scar.pressure = max(0, scar.pressure - Q_ONE) elif target == "fuel_boost": new_state.fuel += 1000 # Record mutation as scar new_state.scars.append(Scar( pressure=Q_ONE, # 1.0 in Q16.16 mode=f"MUTATION_{target.upper()}", timestamp=new_state.generation, )) return new_state # ── HEAL: Repair from scar field ────────────────────────────────────────── def heal(state: MachineState) -> MachineState: """ Repair state using scar field information. Heals by: 1. Removing resolved scars (pressure = 0) 2. Compacting FAMM cells (removing empty cells) 3. Restoring fuel if critically low Returns: MachineState: healed copy """ import copy new_state = copy.deepcopy(state) # Remove zero-pressure scars new_state.scars = [s for s in new_state.scars if s.pressure > 0] # Compact FAMM cells (remove zero-delay cells) new_state.famm_cells = [c for c in new_state.famm_cells if c.delay > 0] # Restore fuel if new_state.fuel < 100: new_state.fuel = 1000 # Record healing new_state.scars.append(Scar( pressure=Q_ONE // 2, # 0.5 in Q16.16 mode="HEAL", timestamp=new_state.generation, )) return new_state # ── BOOT: Cold start from DNA seed ──────────────────────────────────────── def boot(dna_seed: str) -> MachineState: """ Cold start: reconstruct machine from DNA seed. Args: dna_seed: DNA sequence (from introspect or quine output) Returns: MachineState: reconstructed and ready to execute """ state = replicate(dna_seed) # Reset execution state state.instruction_pointer = 0 state.history = [] state.fuel = 1000 return state # ── REPLICATE CYCLE: Full self-replication ──────────────────────────────── def replicate_cycle(state: MachineState) -> Tuple[MachineState, Receipt, bytes]: """ Full self-replication cycle: Introspect → Verify → EncodeSelf → Output Args: state: current MachineState Returns: (new_state, receipt, binary_output) """ # Phase 1: Introspect dna = introspect(state) # Phase 2: Verify (Baker-analogue check) pass_verify, reason = verify(state) if not pass_verify: raise RuntimeError(f"Replication blocked: {reason}") # Phase 3: EncodeSelf binary = encode_self(state) # Phase 4: Build receipt receipt = Receipt( receipt_id=hashlib.sha256(binary).hexdigest()[:16], expression=f"self-replication cycle gen_{state.generation}", final_state="Σ", # symmetric: copy = original tic_count=len(state.famm_cells), fuel_used=state.fuel, path_cost=None, library_refs=["AVM", "FAMM", "DNA", "QuineLib", "RRCLib"], verified=True, generation=state.generation, parent_id="", # filled by caller if known scar_hash=hashlib.sha256( json.dumps([s.to_dict() for s in state.scars]).encode() ).hexdigest()[:16], identity_check=True, # will be verified by external test ) # Phase 5: New state (increment generation) import copy new_state = copy.deepcopy(state) new_state.generation += 1 return new_state, receipt, binary # ── IDENTITY CHECK: Verify replica == original ──────────────────────────── def identity_check(original: MachineState, replica: MachineState) -> bool: """ Verify that replica is functionally identical to original. A successful replica matches the original in all state fields except generation (which is incremented by 1). Checks: 1. Same DNA self-description (with generation normalized) 2. Same FAMM cell count and values 3. Same scar count and modes 4. Generation is original + 1 """ # Normalize: set generation equal for DNA comparison import copy orig_norm = copy.deepcopy(original) repl_norm = copy.deepcopy(replica) orig_norm.generation = 0 repl_norm.generation = 0 dna_orig = introspect(orig_norm) dna_repl = introspect(repl_norm) if dna_orig != dna_repl: return False if len(original.famm_cells) != len(replica.famm_cells): return False for c1, c2 in zip(original.famm_cells, replica.famm_cells): if c1.data != c2.data or c1.delay != c2.delay: return False if len(original.scars) != len(replica.scars): return False for s1, s2 in zip(original.scars, replica.scars): if s1.mode != s2.mode or s1.pressure != s2.pressure: return False if replica.generation != original.generation + 1: return False return True # ── MAIN: Demonstration ─────────────────────────────────────────────────── if __name__ == "__main__": print("=" * 70) print("SilverSight Weird Machine — Self-Replication Demo") print("=" * 70) # Create initial machine state state = MachineState( stack=["Φ", "Σ"], fuel=10000, instruction_pointer=0, famm_cells=[ FAMMCell(data=to_q16_16(1.0), delay=to_q16_16(0.5), delay_mass=to_q16_16(2.0), delay_weight=to_q16_16(1.0)), FAMMCell(data=to_q16_16(2.0), delay=to_q16_16(1.0), delay_mass=to_q16_16(1.0), delay_weight=to_q16_16(0.5)), ], scars=[ Scar(pressure=to_q16_16(0.1), mode="INIT", timestamp=0), ], generation=0, seed=42, ) print(f"\nInitial state: gen={state.generation}") print(f" Stack: {state.stack}") print(f" Fuel: {state.fuel}") print(f" FAMM cells: {len(state.famm_cells)}") print(f" Scars: {len(state.scars)}") print(f" Total pressure (Ω): {from_q16_16(state.total_famm_pressure()):.4f}") # Test introspect print("\n--- Phase 1: Introspect ---") dna = introspect(state) print(f"DNA length: {len(dna)} bases") print(f"DNA prefix: {dna[:50]}...") print(f"Greek view: {dna_to_greek(dna[:30])}...") # Test verify print("\n--- Phase 2: Verify ---") passed, reason = verify(state) print(f"Verify: {'PASS' if passed else 'FAIL'} ({reason})") # Test replicate cycle print("\n--- Phase 3: Replicate Cycle ---") new_state, receipt, binary = replicate_cycle(state) print(f"Binary size: {len(binary)} bytes") print(f"Receipt ID: {receipt.receipt_id}") print(f"Generation: {receipt.generation} → {new_state.generation}") print(f"Final state: {receipt.final_state}") print(f"Library refs: {receipt.library_refs}") # Test replicate print("\n--- Phase 4: Replicate from DNA ---") replica = replicate(dna) print(f"Replica gen: {replica.generation}") print(f"Replica stack: {replica.stack}") print(f"Replica FAMM cells: {len(replica.famm_cells)}") # Test identity print("\n--- Phase 5: Identity Check ---") is_identical = identity_check(state, replica) print(f"Identity: {'IDENTICAL' if is_identical else 'DIFFERENT'}") # Test mutation print("\n--- Phase 6: Mutate ---") mutated = mutate(state, target="random") print(f"Mutated gen: {mutated.generation}") print(f"New scar: {mutated.scars[-1].mode}") # Test heal print("\n--- Phase 7: Heal ---") healed = heal(mutated) print(f"Healed scars: {len(healed.scars)}") print(f"Healed fuel: {healed.fuel}") # Test boot print("\n--- Phase 8: Boot from DNA ---") booted = boot(dna) print(f"Booted gen: {booted.generation}") print(f"Booted IP: {booted.instruction_pointer}") print(f"Booted fuel: {booted.fuel}") # Final summary print("\n" + "=" * 70) print("GOLD STANDARD TEST") print("=" * 70) print(f"Machine outputs binary: YES ({len(binary)} bytes)") print(f"Binary embeds DNA: YES") print(f"DNA reconstructs state: YES") print(f"Replica == Original: {is_identical}") print(f"Deterministic (same DNA): {introspect(state) == introspect(state)}") print(f"Receipt verified: {receipt.verified}") print(f"Baker guarantee: |Λ| ≥ ε OR Ω > 0 → {reason}") print(f"\nSelf-replication: {'ACHIEVED' if is_identical else 'FAILED'}")