genpark-plonk-permutation-argument-grand-product-skill
mcp
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Plonk grand product copy-constraint permutation argument tracking wire routing equality
README.md
Plonk Permutation Grand Product Skill
Robust, zero-dependency Python implementation of the Plonk Copy-Constraint Permutation Argument.
Features
- Grand Product Accumulator: Proves wire routing consistency across non-adjacent circuit gates in (O(n)) field operations.
- Schwartz-Zippel Lemma Security: Random challenges (eta, \gamma) guarantee negligible soundness error.
- Zero External Dependencies: Pure Python standard library.
- Native MCP Protocol: JSON-RPC 2.0 stdio server compatible with Claude Desktop, Cursor, and Windsurf.
Architecture
graph LR
Wires["Wire Assignments (a_i, b_i, c_i)"] --> Perm["Permutation Mapping sigma(i)"]
Perm --> GrandProd["Grand Product Accumulator Z(X)"]
GrandProd --> Boundary["Check Boundary Conditions Z(1) = 1, Z(omega^n) = 1"]
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