Machine Theory: formal development
The Block 15 Lean development for machine-theory structures.
Completion: Earlier checkpoint · Lean: Selected results recorded · Confidence: Recorded formal evidence
Before you start
Suggested background: Read the problem statement, recorded scope and open questions first. The program's definitions determine its subject prerequisites.
Recorded results and limits: Earlier Block 15 checkpoint covers 23/27 selected results. The later Reviewed Mathematical Core admission covers 27/27 in a different source edition.
Remaining work: Use the newer core for current completion status. Preserve this checkpoint and its original four pending targets as dated history.
The background advice is an editorial starting point. The work itself states its prerequisites and hypotheses.
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Written proofs
Read the written arguments in the PDF. The manuscript source remains available below.
Find the statement number or section in the reading files, then read its assumptions and argument. A claim map may cover only part of the written result.
Written proofs may be in the reading files. There is no separate text or claim map linked here. The evidence record describes what has been reviewed.
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Lean
Start with the edition guide and the build instructions below. Check the correspondence records to see which written claims the Lean declarations cover. Source links lead to .lean files. PDF guides explain the formalization.
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Code
These links include code, examples, checks, or build tools. Read the edition guide for setup instructions and what each command does. All software is beta and work in progress.
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Evidence
- Completion, Lean coverage, confidence, and cited evidence
- Current counterpart: Machine Native Reasoning
- Source-file receipt (identity and availability)
- All files in this source edition
The evidence records describe the reviews and runs completed for this edition.