File size: 11,738 Bytes
fc3e70a | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 | # This Source Code Form is subject to the terms of the Mozilla Public
# License, v. 2.0. If a copy of the MPL was not distributed with this
# file, You can obtain one at https://mozilla.org/MPL/2.0/.
"""ADR-Ξ©-0001: The Uninterpreted Operator β ? (unknown semantics, observable behavior).
?(A) β B is valid as an observation.
?(A) = f(A) is NOT valid until f has been established.
UNKNOWN β FALSE
UNKNOWN β TRUE
The system must not silently convert UNKNOWN into UNDERSTOOD.
"""
from __future__ import annotations
import hashlib
import json
import time
from dataclasses import dataclass, field
from enum import Enum, auto
from pathlib import Path
from typing import Any, Optional
# ββ Invariant state (Ξ©) βββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass(frozen=True)
class InvariantState:
"""Ξ© β the preserved invariant carried through every observation."""
tau: int
system_hash: str
properties: tuple[str, ...] = field(default_factory=tuple)
def hash(self) -> str:
content = f"Ξ©:{self.tau}:{self.system_hash}:{':'.join(self.properties)}"
return hashlib.sha256(content.encode()).hexdigest()
# ββ Observation record: β¨A, B, H, t, Ξ©β© ββββββββββββββββββββββββββββββββββββ
@dataclass(frozen=True)
class ObservationRecord:
"""
O_?(A) = β¨A, B, H, t, Ξ©β©
Records that A β ? β B occurred without fabricating an explanation.
H = hash of the full record.
t = state-transition timestamp.
Ξ© = invariant state at time of observation.
"""
input_state: str # A β canonical representation of input
output_state: str # B β canonical representation of output
provenance_hash: str # H β hash(A β ? β B β Ξ©)
timestamp: float # t
invariant: InvariantState # Ξ©
# Classification state β may only advance through the pipeline, never skip
classification: UnknownClassification = field(default=None)
def __post_init__(self):
# Enforce: classification starts as UNOBSERVED if not provided
if self.classification is None:
object.__setattr__(self, "classification", UnknownClassification.OBSERVED)
@staticmethod
def observe(
input_state: Any,
output_state: Any,
invariant: InvariantState,
) -> ObservationRecord:
a = _canonical(input_state)
b = _canonical(output_state)
t = time.time()
h = _seal_hash(a, b, invariant)
return ObservationRecord(
input_state=a,
output_state=b,
provenance_hash=h,
timestamp=t,
invariant=invariant,
)
def verify(self) -> bool:
"""Recompute and verify the provenance hash."""
expected = _seal_hash(self.input_state, self.output_state, self.invariant)
return self.provenance_hash == expected
def advance(self, to: UnknownClassification) -> ObservationRecord:
"""
Advance classification through the pipeline:
OBSERVED β CAPTURED β HASHED β COMPARED β TESTED β CLASSIFIED
May never skip a step. UNKNOWN must not become UNDERSTOOD silently.
"""
_assert_valid_advancement(self.classification, to)
return ObservationRecord(
input_state=self.input_state,
output_state=self.output_state,
provenance_hash=self.provenance_hash,
timestamp=self.timestamp,
invariant=self.invariant,
classification=to,
)
# ββ Classification pipeline (OBSERVE β CLASSIFY only, no shortcuts) βββββββββββ
class UnknownClassification(Enum):
OBSERVED = auto()
CAPTURED = auto()
HASHED = auto()
COMPARED = auto()
TESTED = auto()
CLASSIFIED = auto()
# Explicitly NOT in this enum:
# UNDERSTOOD β because converting UNKNOWN to UNDERSTOOD requires
# establishing f such that ?(A) = f(A). That is a separate formal claim.
_VALID_TRANSITIONS: dict[UnknownClassification, UnknownClassification] = {
UnknownClassification.OBSERVED: UnknownClassification.CAPTURED,
UnknownClassification.CAPTURED: UnknownClassification.HASHED,
UnknownClassification.HASHED: UnknownClassification.COMPARED,
UnknownClassification.COMPARED: UnknownClassification.TESTED,
UnknownClassification.TESTED: UnknownClassification.CLASSIFIED,
}
def _assert_valid_advancement(
current: UnknownClassification,
target: UnknownClassification,
) -> None:
allowed = _VALID_TRANSITIONS.get(current)
if allowed != target:
raise UnknownOperatorError(
f"Invalid classification advance: {current.name} β {target.name}. "
f"Expected {allowed.name if allowed else 'nothing (terminal)'}. "
f"UNKNOWN must not become UNDERSTOOD by skipping pipeline stages."
)
class UnknownOperatorError(Exception):
"""Raised when the system attempts to fabricate semantics for ?."""
# ββ WORM Seal engine βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _canonical(value: Any) -> str:
if isinstance(value, str):
return value
try:
return json.dumps(value, sort_keys=True, default=str)
except Exception:
return repr(value)
def _seal_hash(a: str, b: str, omega: InvariantState) -> str:
"""Seal(A β ? β B) = H(A β ? β B β Ξ©)"""
content = f"{a}\x00?\x00{b}\x00{omega.hash()}"
return hashlib.sha256(content.encode()).hexdigest()
@dataclass(frozen=True)
class WORMSealEntry:
"""One entry in the append-only WORM seal chain."""
index: int
record: ObservationRecord
entry_hash: str
previous_hash: str
sealed_at: float = 0.0
def verify_chain(self, previous_entry: Optional[WORMSealEntry]) -> bool:
"""Verify this entry's chain link to the previous entry."""
expected_prev = previous_entry.entry_hash if previous_entry else "0" * 64
if self.previous_hash != expected_prev:
return False
return self.record.verify()
def to_dict(self) -> dict:
return {
"index": self.index,
"input_state": self.record.input_state[:80],
"output_state": self.record.output_state[:80],
"provenance_hash": self.record.provenance_hash,
"classification": self.record.classification.name,
"entry_hash": self.entry_hash,
"previous_hash": self.previous_hash,
"sealed_at": self.sealed_at,
"tau": self.record.invariant.tau,
}
class WORMSealChain:
"""
Append-only chain of sealed observations.
Seal(A β ? β B) = H(A β ? β B β Ξ©)
Once sealed, an observation cannot be modified.
The chain hash links every entry to its predecessor.
"""
def __init__(self):
self._entries: list[WORMSealEntry] = []
def seal(self, record: ObservationRecord) -> WORMSealEntry:
"""Seal an observation record into the chain. Returns the sealed entry."""
prev_hash = self._entries[-1].entry_hash if self._entries else "0" * 64
index = len(self._entries)
# Entry hash = H(index β record_hash β prev_hash)
entry_content = f"{index}:{record.provenance_hash}:{prev_hash}"
entry_hash = hashlib.sha256(entry_content.encode()).hexdigest()
entry = WORMSealEntry(
index=index,
record=record,
entry_hash=entry_hash,
previous_hash=prev_hash,
sealed_at=time.time(),
)
self._entries.append(entry)
return entry
def head(self) -> Optional[WORMSealEntry]:
return self._entries[-1] if self._entries else None
def verify_chain(self) -> tuple[bool, list[str]]:
"""Verify the full chain integrity. Returns (ok, errors)."""
errors: list[str] = []
prev: Optional[WORMSealEntry] = None
for entry in self._entries:
if not entry.verify_chain(prev):
errors.append(f"Chain broken at index {entry.index}")
if not entry.record.verify():
errors.append(f"Record hash invalid at index {entry.index}")
prev = entry
return len(errors) == 0, errors
def audit(self) -> list[dict]:
return [e.to_dict() for e in self._entries]
def __len__(self) -> int:
return len(self._entries)
def export_jsonl(self, path: Path) -> None:
"""Export chain to JSONL for external audit."""
lines = [json.dumps(e.to_dict()) for e in self._entries]
path.write_text("\n".join(lines) + "\n")
@staticmethod
def import_jsonl(path: Path) -> list[dict]:
"""Read chain from JSONL for verification (read-only)."""
if not path.exists():
return []
return [json.loads(line) for line in path.read_text().splitlines() if line.strip()]
# ββ Unknown semantic node βββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass(frozen=True)
class UnknownNode:
"""
A semantic node whose internal transformation is not yet understood.
? is a first-class operator in the algebra:
β PRODUCT
βΉ PARTITION
β CLOSURE
β TRANSFORM
β³ DIFFERENCE
⬑ COMPOSITION
? UNKNOWN β this
Ξ© INVARIANT
"""
node_id: str
observation: ObservationRecord
seal_entry: Optional[WORMSealEntry] = None
@property
def is_sealed(self) -> bool:
return self.seal_entry is not None
@property
def is_understood(self) -> bool:
# May NEVER return True from this class alone.
# Requires external formal establishment of f such that ?(A) = f(A).
return False
def __repr__(self) -> str:
cls = self.observation.classification.name
sealed = "SEALED" if self.is_sealed else "UNSEALED"
return f"?[{self.node_id[:8]}|{cls}|{sealed}]"
# ββ Integration helper ββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def observe_and_seal(
input_state: Any,
output_state: Any,
invariant: InvariantState,
chain: WORMSealChain,
node_id: str = "",
) -> UnknownNode:
"""
Full pipeline:
OBSERVE β CAPTURE β HASH β COMPARE β TEST β CLASSIFY β SEAL
Returns an UnknownNode with a sealed chain entry.
The node carries the observation but never claims to understand the transformation.
"""
if not node_id:
node_id = hashlib.sha256(
f"{_canonical(input_state)}:{_canonical(output_state)}:{time.time()}".encode()
).hexdigest()[:24]
record = ObservationRecord.observe(input_state, output_state, invariant)
record = record.advance(UnknownClassification.CAPTURED)
record = record.advance(UnknownClassification.HASHED)
record = record.advance(UnknownClassification.COMPARED)
record = record.advance(UnknownClassification.TESTED)
record = record.advance(UnknownClassification.CLASSIFIED)
entry = chain.seal(record)
return UnknownNode(node_id=node_id, observation=record, seal_entry=entry)
|