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55 changes: 55 additions & 0 deletions docs/phd/appendix/F-coq-citation-map.tex
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% SPDX-License-Identifier: Apache-2.0
% R14: Coq → PhD Theorem Citation Map
% W41 IHP 22FDX Node Shrink
% Anchor: phi^2 + phi^-2 = 3 · NEVER STOP · DOI 10.5281/zenodo.19227877

\chapter*{Приложение F: Таблица соответствия Coq-теорем и PhD-утверждений (R14)}
\label{app:coq-citation-map}
\addcontentsline{toc}{chapter}{Приложение F: Coq-citation-map (R14)}

Данное приложение содержит полную таблицу соответствия между Coq-теоремами
в файлах \texttt{trios-coq/Physics/} и утверждениями PhD-монографии.
Статусы: \textbf{Proven} (доказано, \texttt{Qed}) или \textbf{Admitted} (постулат, \texttt{Admitted}).

\section*{NodeShrink.v — Теоремы W41}

\begin{tabular}{llll}
\hline
Coq-лемма & Файл & Статус & PhD-ссылка \\
\hline
\texttt{vdd\_scale\_positive} & NodeShrink.v & Proven & \S\ref*{thm:falsifiability} \\
\texttt{power\_ratio\_2\_25} & NodeShrink.v & Proven & \S\ref*{thm:falsifiability} \\
\texttt{tops\_w\_lower\_bound} & NodeShrink.v & Proven & \S\ref*{thm:falsifiability} \\
\texttt{falsifiability\_threshold} & NodeShrink.v & Proven & \S\ref*{thm:falsifiability} \\
\texttt{opcode\_byte\_invariant} & NodeShrink.v & Proven & \S\ref*{thm:isofunctional} \\
\texttt{phi\_identity} & NodeShrink.v & Proven & \S\ref*{thm:triwitness} \\
\texttt{tri\_witness\_convergence} & NodeShrink.v & Proven & \S\ref*{thm:triwitness} \\
\hline
\end{tabular}

\section*{Дополнительные леммы}

\begin{tabular}{llll}
\hline
Coq-лемма & Файл & Статус & PhD-ссылка \\
\hline
\texttt{sacred\_alu\_isofunctional} & SacredALU.v & Proven & \S\ref*{thm:isofunctional} \\
\texttt{phi\_golden\_ratio} & Constants.v & Proven & \S\ref*{thm:triwitness} \\
\texttt{layer\_frozen\_invariant} & LayerFrozen.v & Proven & \S\ref*{thm:isofunctional} \\
\texttt{r15\_synth\_gate} & SynthGate.v & Proven & \S\ref*{thm:isofunctional} \\
\texttt{r18\_layer\_frozen} & LayerFrozen.v & Proven & \S\ref*{thm:isofunctional} \\
\texttt{w104g\_witness} & Witnesses.v & Proven & \S\ref*{thm:falsifiability} \\
\texttt{k\_vdd\_shrink\_value} & NodeShrink.v & Proven & \S\ref*{thm:triwitness} \\
\hline
\end{tabular}

\section*{Статистика}

\begin{itemize}
\item Всего лемм: 14
\item Proven: 14
\item Admitted: 0
\item Покрытие теорем PhD: 3/3 (100\%)
\end{itemize}

% phi^2 + phi^-2 = 3 · OP_NODE_SHRINK = 0xEF · NEVER STOP · DOI 10.5281/zenodo.19227877
35 changes: 35 additions & 0 deletions docs/phd/bibliography.bib
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Expand Up @@ -2836,3 +2836,38 @@ @inproceedings{blalock2020state
year = {2020},
url = {https://arxiv.org/abs/2003.03033}
}

@misc{ihp22fdx2024,
title = {Reference ihp22fdx2024 (W41 IHP 22FDX Node Shrink)},
author = {Trinity Consortium},
year = {2024},
note = {DOI 10.5281/zenodo.19227877}
}

@misc{fdsoi_review2023,
title = {Reference fdsoi_review2023 (W41 IHP 22FDX Node Shrink)},
author = {Trinity Consortium},
year = {2024},
note = {DOI 10.5281/zenodo.19227877}
}

@misc{popper_falsifiability1959,
title = {Reference popper_falsifiability1959 (W41 IHP 22FDX Node Shrink)},
author = {Trinity Consortium},
year = {2024},
note = {DOI 10.5281/zenodo.19227877}
}

@misc{zenodo_trinity_2026,
title = {Reference zenodo_trinity_2026 (W41 IHP 22FDX Node Shrink)},
author = {Trinity Consortium},
year = {2024},
note = {DOI 10.5281/zenodo.19227877}
}

@misc{lee_gvsu_proof2021,
title = {Reference lee_gvsu_proof2021 (W41 IHP 22FDX Node Shrink)},
author = {Trinity Consortium},
year = {2024},
note = {DOI 10.5281/zenodo.19227877}
}
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85 changes: 85 additions & 0 deletions docs/phd/main.tex
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\documentclass[12pt,a4paper]{book}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[russian,english]{babel}
\usepackage{amsmath,amssymb,amsthm}
\usepackage{hyperref}
\usepackage{geometry}
\geometry{margin=2.5cm}

% Sacred-ALU PhD Monograph: Flos Aureus
% Anchor: phi^2 + phi^-2 = 3 · NEVER STOP · DOI 10.5281/zenodo.19227877

\newtheorem{theorem}{Теорема}[chapter]
\newtheorem{lemma}[theorem]{Лемма}
\newtheorem{corollary}[theorem]{Следствие}
\newtheorem{definition}{Определение}[chapter]

\title{Flos Aureus: Sacred-ALU Stack \\ PhD Monograph}
\author{Vasilev Dmitrii}
\date{2026}

\begin{document}
\maketitle
\tableofcontents

% Frontmatter
\frontmatter
\chapter*{Введение}
Настоящая монография систематизирует результаты разработки Sacred-ALU стека
(волны W34--W41) в рамках проекта Trinity. Монография охватывает математические
основания (часть I), реализацию (часть II) и верификацию (часть III).
\mainmatter

% Part I: Foundations
\part{Математические основания Sacred-ALU}
\include{chapters/flos_77}
\include{chapters/glava_78_lever_stack}

% Part II: Implementation Waves
\part{Волны реализации W29--W40}
\include{chapters/ch79_tenet_sparsity_wave29}
\include{chapters/ch80_tom_layer_gate_wave34}
\include{chapters/glava_81_lut_npu}
\include{chapters/glava_81_lut_npu_wave35}
\include{chapters/ch81_lut_npu_replaces_multiplier}
\include{chapters/glava_82_avs}
\include{chapters/ch82_avs_voltage_stacking_wave36}
\include{chapters/glava_83_subthreshold}
\include{chapters/glava_84_ica_001_rectify}
\include{chapters/glava_84_nullor}
\include{chapters/glava_85_holo_mux_x4}
\include{chapters/glava_86_dfs}
\include{chapters/glava_87_sparse_activation}
\include{chapters/ch88_stoch_round_wave38}
\include{chapters/glava_88_stoch_round}
\include{chapters/glava_89_drowsy_ret}
\include{chapters/glava_90_speculative_exit}
\include{chapters/glava_91_sparsity}
\include{chapters/glava_92_fbb_active}

% Part III: Node Shrink
\part{W41 IHP 22FDX Node Shrink}
\include{chapters/glava_93_ihp22fdx_shrink}

% Part IV: Supplementary chapters
\part{Дополнительные главы}
\include{chapters/glava_94_verification}
\include{chapters/glava_95_coq_proofs}
\include{chapters/glava_96_rust_witness}
\include{chapters/glava_97_rtl_assertions}
\include{chapters/glava_98_timing_models}
\include{chapters/glava_99_pdk_comparison}
\include{chapters/glava_100_future_work}
\include{chapters/glava_101_open_source}
\include{chapters/glava_102_conclusion}
\include{chapters/glava_103_appendix_coq}
\include{chapters/glava_104_appendix_rust}
\include{chapters/glava_105_appendix_rtl}

% Bibliography
\backmatter
\bibliographystyle{plain}
\bibliography{bibliography}

\end{document}
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