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Machine Native Reasoning: wider continuation

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Machine-Native Reasoning

Reviewed and expanded continuation

Author: Komorebi P.
Series: Realization Calculus
Publication state: Working monograph, not the completed thirty-chapter book.

Read Machine_Native_Reasoning_Reviewed_Continuation.pdf. The current manuscript has 74 pages and fifteen numbered chapters, together with the realization prologue, glossary, verification guide, result map, and sources. It revises the earlier 57-page, twelve-chapter working edition.

What changed

The composition chapter now proves preservation of complete state, action, report, and label histories, rather than relying only on terminal-state distributions. The stopping argument now treats deadlock, history-dependent strategies, and the command-observation boundary explicitly. Local clarifications in the original core specify missing domains, finite catalogues, positive-weight divisions, and uniqueness only on enabled actions.

Three substantial chapters have been added: transport of safe continuation through exact and conservative quotients, information-preserving representation migration, and finite proof fields with executable closure certificates. Three new mathematical figures have source-bound data and boxed-label fit checks.

Verification status

All 27 selected core result identities remain. The archived Lean correspondence covers 23/27, with Core 8.3, 2.4, 2.5, and 3.2 still pending. No new Lean compilation or kernel replay was performed. The pinned runtime was absent, and retrieval failed with a DNS error. Written proofs and passing finite tests are not relabeled as Lean certification.

The original two exact suites were rerun from a freshly extracted, hash-verified source archive and passed all 205,477 assertions in 27 groups. The new and extended finite suites passed separately. Their units and domains are listed in PROOFREADING_AND_CONTINUATION_REPORT.md; do not combine them into a theorem count.

Reproduction

Run integrity verification before modifying or rebuilding the package:

python scripts/verify_package.py

Run the exact computations without changing this directory:

python scripts/reproduce.py --mode exact --output ../machine_reasoning_exact_replay

Rebuild the PDF in a temporary tree:

python scripts/reproduce.py --mode pdf --output ../machine_reasoning_pdf_rebuild

Output directories must be new or empty and outside this package. Exact checks use Python's standard library. PDF building needs latexmk, pdfLaTeX, and the packages named in book.tex, including NewTX text and mathematics. Figure regeneration additionally needs Matplotlib. Native Windows execution has not been tested in this continuation. Instructions are portable command forms, not a Windows verification claim.

Contents

The source catalogue describes the broader research collection. It does not mean all 24 specialist manuscripts or all historical archives are included in this compact delivery. The authoritative originals remain separate source packages.

See PROGRESS_LEDGER.md for the restart point and LICENSE_NOTICE.md for the original-material licensing policy and retained third-party boundary.

Other PDFs for this work

Original file and source record

This copy matches the recorded source file. Its publication here does not change the work’s review status.

SHA-256: 65a5963cf0c970af6e45ff9964122eb5a351e5cd5027e45f2651d330f699faf5

Original source on GitHub

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