MJ Physics Engineering | Bangel Language | MJos Operating System

Owned and operated by Michael Bangel | Clearwater, Florida

MJPE-COMPLETE-20260925-JO-PROOF-PURPLE · Purple · Review draft

JO Proof and Verification - Syntax and typed expression

Source-backed documentary sequence — execution not rerun

JO Proof and Verification / Purple

MJ Physics Engineering | Bangel Language | MJos Operating System
Owned and operated by Michael Bangel | Clearwater, Florida

TYPED BANGEL BINDING

- ProofScope: named historical contract
- TypedCAPO: exact representation identity
- EvidenceSet: assertion-bound artifacts
- VerificationReceipt: result and unresolved prerequisites

PRECONDITION

A historical JO obligation names the type, formula, evidence or bounded execution assertion being reviewed.

SEMANTIC OBLIGATION

Compare evidence with that precise assertion and retain its source-profile meaning. Link runtime lineage to Joanna without equating every historical JO proof role with current execution.

POSTCONDITION

Return a scoped verification record, HOLD for missing evidence or DENY for a failed permission boundary.

COMPILATION RULE

Elsa is the compiler. Use a declared Bangel grammar profile, independently admit the applicable JP representation and execute through Joanna only where that path is implemented. These fields are documentary contract notation, not parser-verified source. A shared .bangel extension does not prove grammar equivalence.

PROFILE RELATIONSHIP

Preserve the source JO role while linking its runtime lineage to current Joanna.

IMPLEMENTATION CHECK

A receipt for a different formula or profile must not satisfy this obligation without an explicit verified mapping.

DISCOVERY NAMES

JO; JO-RUNTIME; JO_PROOF_RECEIPT
These names aid search; current compiler naming remains Elsa.

SOURCE STATUS AND LIMITS

Historical reference or specification recovered. Its source status remains visible and is not promoted to a current standalone implementation.
Recovered status: documented_historical_reference.
Do not state that every JO verification meaning is identical to Joanna execution.

SOURCE REFERENCES

- Recovered nonwhite collection, page 1304
https://drive.google.com/file/d/1RpxuVZjdCHSITNXIZZuWacJ1BNBAPCLv/view#page=1304
- Recovered nonwhite collection, page 7062
https://drive.google.com/file/d/1RpxuVZjdCHSITNXIZZuWacJ1BNBAPCLv/view#page=7062
- Recovered nonwhite collection, page 1378
https://drive.google.com/file/d/1RpxuVZjdCHSITNXIZZuWacJ1BNBAPCLv/view#page=1378

SOURCE LINKS

NO COMMERCIAL OR PUBLIC USE PERMITTED