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Research-Stack/6-Documentation/wiki/obsidian-vault/08-TOOLS/01-Templates/Formal Proof.md
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title type layer status created modified lean-module dependencies related-theorems receipts
<% tp.file.title %> formal-proof <% tp.system.suggester(['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6'], ['L0 - Primordial', 'L1 - Geometric', 'L2 - Biological', 'L3 - Thermodynamic', 'L4 - Security', 'L5 - Semantic', 'L6 - Meta']) %> <% tp.system.suggester(['draft', 'in-progress', 'proven', 'verified'], ['Draft', 'In Progress', 'Proven', 'Verified']) %> <% tp.date.now('YYYY-MM-DD') %> <% tp.date.now('YYYY-MM-DD') %>

<% tp.file.title %>

Overview

Layer Context

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']) %>

Formal Statement

theorem <% tp.file.title %> [hypotheses] : conclusion :=
  sorry

Proof Strategy

Key Lemmas

Dependencies

Lean Implementation

-- Path: 0-Core-Formalism/lean/Semantics/

Receipt Generation

def <% tp.file.title %>Receipt (state : State) : String :=
  "<% tp.file.title %>:" ++ toString state.val ++ ","

Verification Status

  • Formal Verification: <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>
  • Code Review: <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>
  • Testing: <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>

Related Work

Notes

Tags

#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']) %>