spectral_vm 0.1.6

HYPERION: Production-ready zero-knowledge virtual machine with spectral analysis
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85

# HYPERION: Zero-Knowledge Virtual Machine

[![Crate](https://img.shields.io/crates/v/spectral_vm.svg)](https://crates.io/crates/spectral_vm)
[![Documentation](https://docs.rs/spectral_vm/badge.svg)](https://docs.rs/spectral_vm)
[![License](https://img.shields.io/badge/license-Apache%202.0-blue)](LICENSE)

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`:

```toml
[dependencies]
spectral_vm = "0.1"
```

### Prerequisites

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

## Quick Start

```rust
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](https://docs.rs/spectral_vm)
- [GitHub Repository](https://github.com/nzengi/hyperion-zkvm)

## License

Licensed under the Apache License, Version 2.0. See [LICENSE](LICENSE) for details.