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Created comprehensive Obsidian vault for managing Research Stack knowledge: Core Structure: - 00-MAP/ - Navigation, Dashboard, Core Concepts, Glossary, Getting Started - 01-LAYERS/ - All 7 USTSM layers (L0-L6) with formal proofs, docs, receipts, hardware - 07-RESEARCH/ - Milestones, Attack Plans, Conjectures, Experiments - 08-TOOLS/ - Templates, Workflows, Scripts - 09-REFERENCES/ - External resources - 10-ARCHIVE/ - Completed items Configuration Files: - .obsidian/app.json - Vault settings - .obsidian/community-plugins.json - Plugin configuration - .obsidian/snippets/research-stack.css - Custom theme with layer colors - .obsidian/plugins/ - Templater, QuickAdd, Dataview settings - .obsidian/workspaces.json - Pre-configured workspaces Templates Created: - Formal Proof - For Lean theorem documentation - Attack Plan - For research initiatives - Milestone - For project milestones - Receipt - For validation receipts - Daily Standup - For daily progress tracking Features: - Dataview dashboard queries for system health - Layer-specific color coding (L0-L6) - Receipt styling and validation status - Graph view customization - QuickAdd commands for rapid note creation - Templater automation with research helpers - Pre-configured workspaces for different activities Documentation: - README.md - Complete vault guide - Getting Started.md - Step-by-step tutorial - Core Concepts.md - Fundamental principles - Glossary.md - Research Stack terminology Burgers 4-Theorem Attack Plan documented: - Energy Dissipation theorem - CFL Stability theorem - Mass Conservation theorem - Complexity Regularization theorem Generated with [Devin](https://cli.devin.ai/docs) Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
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2.2 KiB
Markdown
65 lines
No EOL
2.2 KiB
Markdown
---
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title: "<% tp.file.title %>"
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type: "formal-proof"
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layer: "<% tp.system.suggester(['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6'], ['L0 - Primordial', 'L1 - Geometric', 'L2 - Biological', 'L3 - Thermodynamic', 'L4 - Security', 'L5 - Semantic', 'L6 - Meta']) %>"
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status: "<% tp.system.suggester(['draft', 'in-progress', 'proven', 'verified'], ['Draft', 'In Progress', 'Proven', 'Verified']) %>"
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created: "<% tp.date.now('YYYY-MM-DD') %>"
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modified: "<% tp.date.now('YYYY-MM-DD') %>"
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lean-module: ""
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dependencies: []
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related-theorems: []
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receipts: []
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---
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# <% tp.file.title %>
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## Overview
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<!-- Brief description of the formal proof -->
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## Layer Context
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**Layer:** <% tp.system.suggester(['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6'], ['L0 - Primordial', 'L1 - Geometric', 'L2 - Biological', 'L3 - Thermodynamic', 'L4 - Security', 'L5 - Semantic', 'L6 - Meta']) %>
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## Formal Statement
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```lean
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theorem <% tp.file.title %> [hypotheses] : conclusion :=
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sorry
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```
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## Proof Strategy
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<!-- High-level proof approach -->
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### Key Lemmas
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- [[Lemma 1]]
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- [[Lemma 2]]
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### Dependencies
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- [[Dependency 1]]
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- [[Dependency 2]]
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## Lean Implementation
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<!-- Link to actual Lean code -->
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```lean
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-- Path: 0-Core-Formalism/lean/Semantics/
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```
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## Receipt Generation
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<!-- Receipt functions and validation -->
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```lean
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def <% tp.file.title %>Receipt (state : State) : String :=
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"<% tp.file.title %>:" ++ toString state.val ++ ","
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```
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## Verification Status
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- **Formal Verification:** <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>
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- **Code Review:** <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>
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- **Testing:** <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>
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## Related Work
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- [[Related Proof 1]]
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- [[Related Proof 2]]
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## Notes
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<!-- Additional notes, TODOs, and open questions -->
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## Tags
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#formal-proof #layer-<% tp.system.suggester(['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6'], ['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6']) %> #status-<% tp.system.suggester(['draft', 'in-progress', 'proven', 'verified'], ['draft', 'in-progress', 'proven', 'verified']) %> |