https://github.com/usexfg/xfg-stark

❄️ Winterfell-based STARKs for zero-knowledge COLD collateral proofs and XFG burn proofs 🔥
https://github.com/usexfg/xfg-stark

cd cold embers fire fuego heat stark winterfell xfg zero-knowledge-proofs zk-collateral zk-starks zkstark

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❄️ Winterfell-based STARKs for zero-knowledge COLD collateral proofs and XFG burn proofs 🔥

Host: GitHub
URL: https://github.com/usexfg/xfg-stark
Owner: usexfg
License: mit
Created: 2025-09-09T02:54:45.000Z (8 months ago)
Default Branch: main
Last Pushed: 2026-02-16T01:03:37.000Z (2 months ago)
Last Synced: 2026-02-16T08:46:36.914Z (2 months ago)
Topics: cd, cold, embers, fire, fuego, heat, stark, winterfell, xfg, zero-knowledge-proofs, zk-collateral, zk-starks, zkstark
Language: Rust
Homepage:
Size: 2.07 MB
Stars: 2
Watchers: 0
Forks: 0
Open Issues: 0
Metadata Files:
- Readme: README.md
- License: LICENSE

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README

          #  XFG STARKs

[![Rust](https://img.shields.io/badge/rust-1.70+-blue.svg)](https://www.rust-lang.org)

[![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](https://opensource.org/licenses/MIT)

[![Winterfell Standards](https://img.shields.io/badge/Winterfell%20Standards-Enforced-green.svg)](https://github.com/ColinRitman/xfgwinter)                                                                                       



**❄️Winterfell based zkSTARKs for XFG collateral burn proofs🔥**

A fortress of cryptographic strength, implementing STARK (Scalable Transparent Argument of Knowledge) proofs with the unyielding security of Winterfell's walls, memory safety as solid as the castle's foundation, and zero-cost abstractions that would make even the most cunning Lannister envious.                                               

## ⚔️ The XFG Winterfell Arsenal

### 🛡️ Core Defenses

- **⚔️ Field Arithmetic**: Type-safe field element operations with constant-time implementations that would make the Night's Watch proud

- **📜 Polynomial Operations**: Efficient polynomial arithmetic and evaluation, more precise than even Mæster Luwin's calculations

- **🏰 STARK Proof System**: Complete STARK proof generation and verification- the cryptographic equivalent of Winterfell's defenses

- **𐂷 Type System**: Comprehensive type definitions for all cryptographic operations, as thorough as the Stark family tree

### 🛡️ Security Fortifications

- Constant-time cryptographic operations that never reveal their secrets

- Secure secret management with zeroization.

- Type-level prevention of timing attacks, more reliable than the Wall's magic

- Memory safety through Rust's type system as strong as Valyrian steel

- Comprehensive error handling with Result types as true as the word of Ned Stark's son.

### ⚡ Performance ~~Weapons~~ Tools

- Zero-cost abstractions for all operations as efficient as Arya's water dancing

- Optimized field arithmetic implementations as fast as direwolves

- Efficient polynomial evaluation algorithms as precise as one of The L3-eyed Raven's visions

- Minimal runtime overhead for type safety as light as a crow's feather

## ⛫ Building Winterfell

### Prerequisites

#### The forge of the North

- Rust 1.70+ ([Install Rust](https://rustup.rs/)) - 

- Cargo (comes with Rust)

### Construction

```bash

# Clone the repository

git clone https://github.com/ColinRitman/xfgwinter.git

cd xfgwinter

# Build the project

cargo build

# Run tests

cargo test

# Run benchmarks

cargo bench

```

## 🏰 Citadelian Architecture

```

xfgwinter/

├── src/

│   ├── lib.rs              # Main library entry point - The Great Hall

│   ├── types/              # Type system definitions - The Crypts

│   │   ├── mod.rs          # Type system module - The Master's Chamber

│   │   ├── field.rs        # Field element types - The Armory

│   │   ├── polynomial.rs   # Polynomial types - The Library

│   │   ├── stark.rs        # STARK proof types - The Godswood

│   │   └── secret.rs       # Secret management types - The Secret Chambers

│   ├── field/              # Field arithmetic implementations - The Training Yard

│   ├── polynomial/         # Polynomial arithmetic implementations - The Maester's Tower

│   ├── stark/              # STARK proof implementations - The Watchtower

│   └── utils/              # Utility functions - The Kitchens

├── agents/                 # Background agent specifications - The Council Chamber

├── background-agents/      # Background agent system - The War Room

├── tests/                  # Integration tests - The Training Grounds

├── benches/                # Performance benchmarks - The Tourney Grounds

└── docs/                   # Documentation - The Archives

```

## ⚔️ Wielding XFG-STARK's Power

### Basic Field Operations

```rust

use xfg_stark::types::field::PrimeField64;

// Create field elements - Forging the weapons

let a = PrimeField64::new(5);

let b = PrimeField64::new(3);

// Perform arithmetic operations - The art of war

let sum = a + b;

let product = a * b;

let inverse = a.inverse().unwrap();

// Constant-time operations - The way of the North

let ct_sum = a.add_constant_time(&b);

let ct_product = a.mul_constant_time(&b);

```

### Polynomial Operations

```rust

use xfg_stark::types::polynomial::FieldPolynomial;

use xfg_stark::types::field::PrimeField64;

// Create polynomials - Crafting the spells

let coeffs = vec![PrimeField64::new(1), PrimeField64::new(2), PrimeField64::new(1)];

let poly = FieldPolynomial::new(coeffs);

// Evaluate polynomial - Casting the magic

let result = poly.evaluate(PrimeField64::new(3));

// Polynomial arithmetic - The maester's calculations

let poly2 = FieldPolynomial::constant(PrimeField64::new(1));

let sum = poly.add(&poly2);

let product = poly.multiply(&poly2);

```

### STARK Proof Components

```rust

use xfg_stark::types::stark::{StarkProof, ExecutionTrace, Air};

use xfg_stark::types::field::PrimeField64;

// Create execution trace - The witness of the North

let trace = ExecutionTrace {

    columns: vec![vec![PrimeField64::new(1), PrimeField64::new(2)]],

    length: 2,

    num_registers: 1,

};

// Create AIR constraints - The laws of the realm

let air = Air {

    constraints: vec![],

    transition: TransitionFunction {

        coefficients: vec![vec![PrimeField64::new(1)]],

        degree: 1,

    },

    boundary: BoundaryConditions { constraints: vec![] },

    security_parameter: 128,

};

// Create STARK proof - The seal of Winterfell

let proof = StarkProof {

    trace,

    air,

    commitments: vec![],

    fri_proof: FriProof {

        layers: vec![],

        final_polynomial: vec![PrimeField64::new(1)],

        queries: vec![],

    },

    metadata: ProofMetadata {

        version: 1,

        security_parameter: 128,

        field_modulus: "0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47".to_string(),

        proof_size: 1024,

        timestamp: 1234567890,

    },

};

```

## 🆒☑️ Testing Winterfell's Defenses

### Run All Tests

```bash

cargo test

```

### Run Specific Test Categories

```bash

# Field arithmetic tests - Testing the armory

cargo test field

# Polynomial tests - Testing the library

cargo test polynomial

# STARK proof tests - Testing the watchtower

cargo test stark

# Secret management tests - Testing the secret chambers

cargo test secret

```

### Run Benchmarks

```bash

cargo bench

```

## 📜 The Library Tower

### API Documentation

Generate and view API documentation:

```bash

cargo doc --open

```

### Mathematical Background

This implementation is based on:

- **[STARK Proofs](https://eprint.iacr.org/2018/046.pdf&ved=2ahUKEwjftqeb0sqPAxXAM2IAHR3DMWsQFnoECCEQAQ&usg=AOvVaw3U0RHxBdGk62bzwjc2PIju)**: Scalable Transparent Arguments of Knowledge - The ancient magic of the North

- **[Field Arithmetic](https://www.anubhavprasadsharma.com/files/Sharma_FiniteFieldArithmeticAndItsApplicationsToCryptography.pdf&ved=2ahUKEwiH6eHq0sqPAxXvFVkFHZDMDiMQFnoECBcQAQ&usg=AOvVaw14hLfV867hrCUdFhfS-eJg)**: Finite field operations for cryptographic security - The foundation of Winterfell

- **[Polynomial Commitment Schemes](https://eprint.iacr.org/2020/081.pdf)**: Efficient polynomial evaluation and commitment - The maester's wisdom

- **[FRI Protocol](https://eprint.iacr.org/2024/1161)**: Fast Reed-Solomon Interactive Oracle Proof - The raven's message system

##  Acknowledgments

- **[Winterfell by Meta](https://github.com/facebook/winterfell)**: cryptographic primitives and STARK implementation patterns

## 🧑‍💻 Join the Citadel

We welcome new maesters to xfgwin! Please see Archmæster or [How to become a mæster](https://github.com/usexfg) for details.

## 🔗 Links

- [Repository](https://github.com/usexfg/xfg-stark)

- [Issues](https://github.com/usexfg/xfg-stark/issues)

- [Discussions](https://github.com/usexfg/xfg-stark/discussions)

- [Wiki](https://github.com/usexfg/xfg-stark/wiki)

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