HYPERION: Zero-Knowledge Virtual Machine

HYPERION is a high-performance zero-knowledge virtual machine that uses spectral analysis and FRI protocols for cryptographic proof generation. It implements a novel Boolean Hypercube Spectral Analysis approach for efficient ZK computation.

Features

• Spectral ZK-VM: Novel virtual machine using Walsh-Hadamard transforms for ZK computation
• FRI Protocol: Fast Reed-Solomon Interactive Oracle Proofs for sub-linear verification
• Goldilocks Field: Optimized finite field arithmetic (2^64 - 2^32 + 1)
• SIMD Acceleration: AVX-512/AVX2 support for high-performance field operations
• Memory Pools: Custom memory management for large FRI operations
• Circuit Compiler: High-level compilation to spectral instructions
• Cryptographic Security: Formally verified soundness and zero-knowledge properties

Installation

Add this to your Cargo.toml:

[dependencies]
spectral_vm = "0.1"

Prerequisites

• Rust 1.70+ with 2021 edition
• AVX-512/AVX2 CPU support (recommended for performance)

Quick Start

use spectral_vm::{SovereignVM, SpectralSignal, attestor::SovereignProver};

// Create a simple program (example: add two numbers)
let program = SpectralSignal::new(vec![1, 2, 3]); // S_ADD instruction

// Initialize VM
let mut vm = SovereignVM::new(program, 1024).unwrap();

// Execute
vm.execute().unwrap();

// Generate ZK proof
let prover = SovereignProver::new();
let attestation = prover.prove(&vm).unwrap();

// Verify proof
assert!(attestation.verify().is_ok());

Architecture

HYPERION uses a unique spectral approach to ZK computation:

1. Spectral Analysis: Boolean functions are represented in the frequency domain using Walsh-Hadamard transforms
2. ANF Representation: Boolean operations are handled via Algebraic Normal Form for correct spectral convolution
3. FRI Protocol: Sub-linear proof generation using Reed-Solomon error correction
4. Holographic Memory: Log-derivative arguments ensure memory consistency

Security

• Soundness: 2^(-128) security level with configurable parameters
• Zero-Knowledge: Fiat-Shamir transform provides computational ZK
• Complete: Valid executions always verify
• Audited: Comprehensive cryptographic specification and formal verification

Performance

• Field Operations: SIMD-accelerated Goldilocks arithmetic
• FRI Generation: Parallel folding for large codewords
• Memory Management: Custom pools reduce allocation overhead
• Scalable: Supports circuits with millions of variables

Documentation

• API Documentation
• GitHub Repository

License

Licensed under the Apache License, Version 2.0. See LICENSE for details.