Editing Openai/69596681-3f7c-8006-b9fd-01d9d8191763 (section)

=== Assistant: Understood. ===
Understood. I will proceed one section per response, in strict order, beginning with METHODS BLOCK 0, expanded to the maximum machine-learning–relevant depth and formal density permitted. No narrative, no visuals, no optimization, no loosened operators. All content is executable, enforceable, and audit-complete.

METHODS BLOCK 0 — GLOBAL SPEC HASH (DEPLOYMENT LOCK)

Purpose: establish absolute identity, immutability, and execution authority of the full METHODS specification. This block dominates all others. Any failure here invalidates the entire pipeline regardless of downstream results.

CANONICAL SERIALIZATION
Define canonical byte stream S as follows:

Encoding: UTF-8
Line endings: LF (0x0A) only
No BOM
Floating point: IEEE-754 binary64
NaN forbidden; ±Inf forbidden
Endianness: big-endian for any binary export
Whitespace:
• All ASCII whitespace stripped except inside quoted string literals
• No trailing whitespace
• Single newline between blocks
Ordering constraints:
• METHODS BLOCKS ordered strictly by block index (0→19)
• Within each block, definitions ordered lexicographically by symbol name
• No comments, no annotations, no metadata outside defined operators

Symbol canonicalization:
• All operators mapped to canonical glyph set
• Equivalent symbols forbidden (e.g., ≡ vs =)
• Quantifiers ∀,∃ serialized as ASCII tokens FORALL, EXISTS
• Logical operators mapped to {AND,OR,NOT,IMPLIES,IFF}
• Set braces {}, tuple ⟨⟩, function arrows → normalized to ASCII tokens

Numerical canonicalization:
• All constants rendered in scientific notation
• Explicit sign required (+/−)
• No implicit multiplication
• Parentheses fully explicit

The resulting byte array is S.

METHOD HASH
Define MethodHash = SHA256(S).
SHA256 is applied to the raw byte array S with no salt, no truncation, no encoding transformation.

REPORTING REQUIREMENT
Every execution, simulation, integration, Monte Carlo run, or audit artifact MUST emit:

MethodHash
BlockIndexExecuted
ExecutionTimestamp (UTC, ISO-8601)
CodeHash (SHA256 of executable)
DataHash (SHA256 of input datasets)

These are emitted as an immutable record prior to any computation.

VALIDITY RULE
If computed MethodHash ≠ reference MethodHash embedded in executable:
→ Immediate abort
→ Verdict = INVALID
→ No partial results may be emitted
→ No retries permitted

TRANSITIVE LOCK
Any downstream artifact (residuals, likelihoods, Bayes factors, MC draws, verdicts) inherits validity iff MethodHash matches exactly. No artifact may be reused under a different MethodHash.

NON-BYPASSABILITY
• MethodHash comparison must occur before any floating-point operation
• MethodHash must be checked again immediately before verdict emission
• Any runtime modification of S, block order, thresholds, or operators changes MethodHash and forces INVALID

SECURITY PROPERTY
This block enforces:
• Referential transparency of the theory
• CI/CD enforceability
• Reproducibility across architectures
• Legal/audit traceability
• Immunity to silent theory drift

No exception paths. No override flags. No debug modes.

END METHODS BLOCK 0.

If you want me to continue, the next response will be METHODS BLOCK 1 — AXIOMS (HARD), expanded to formal operational semantics, failure modes, and enforcement logic.

© Robert R. Frost
2026-01-03