init-graph

Initialize Proof Graph

Create a new semantic proof graph for a theorem.

When to Use

Use this command when starting a new proof project.

Invocation

./cli/scripts/alethfeld init <output.edn> --theorem "Theorem statement"

Required Arguments

• <output.edn> - Path for the new graph file
• --theorem STMT or -t STMT - Theorem statement in LaTeX

Optional Options

• --mode MODE or -m MODE - Proof mode (default: strict-mathematics)
  • strict-mathematics - Full rigor required
  • formal-physics - Standard physics conventions
  • algebraic-derivation - Algebraic manipulations
• --graph-id ID or -g ID - Custom graph ID (auto-generated if omitted)
• --max-tokens N or -T N - Context budget limit (default: 100000)

Examples

Basic initialization:

./scripts/alethfeld init proof.edn -t 'For all $n \geq 1$, $\sum_{k=1}^n k = \frac{n(n+1)}{2}$'

With custom mode:

./scripts/alethfeld init quantum-proof.edn -t 'Quantum channel composition' -m formal-physics

Output Format

The command creates an EDN file with:

{:graph-id "uuid-prefix"
 :version 1
 :theorem {:id :theorem
           :statement "..."
           :content-hash "..."}
 :nodes {}
 :symbols {}
 :external-refs {}
 :lemmas {}
 :obligations []
 :archived-nodes {}
 :metadata {:created-at "..."
            :last-modified "..."
            :proof-mode :strict-mathematics
            :iteration-counts {:verification {} :expansion {} :strategy 0}
            :context-budget {:max-tokens 100000 :current-estimate 0}}}

Next Steps After Init

1. Add assumptions: add-node with :type :assumption
2. Add definitions: add-node with :type :definition
3. Begin proof: add-node with :type :claim