teal papers / BarTide collection

JO Proof and Verification - IF / HOW / THEN logic

MJPE-COMPLETE-20260925-JO-PROOF-TEAL

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

Updated collection edition: BarTide branding and navigation added September 26, 2026. The original paper text below retains its historical scope. Inclusion does not claim its research is implemented in BarTide.

Source-backed documentary sequence — execution not rerun

JO Proof and Verification / Teal

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

IF / HOW / THEN CONTRACT
IF
A historical JO obligation names the type, formula, evidence or bounded execution assertion being reviewed.

HOW
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.

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

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

FAILURE AND MISSINGNESS
Preserve UNKNOWN separately from zero and source identity separately from truth. Missing required evidence remains a typed error or HOLD under the named profile. Failed permission remains DENY.

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

RECONCILIATION
Append later results or discrepancies to the original evidence; do not rewrite a prediction into an earlier observation.

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Historical reference or specification recovered.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

Original references: See paper text and source PDF.