如何基于Cairo程序，用C++/Rust等在本地生成并验证STARK证明？

核心思路 #

Cairo配套有原生STARK工具链，若用C++/Rust自行实现核心逻辑，本质是基于STARK数学原理（FRI协议、多项式承诺等），结合Cairo程序的执行轨迹约束构建证明。以下分两种语言给出实操方案：

Rust实现方案 #

1. 依赖准备 #

通过cairo-vm处理Cairo程序执行，starknet-crypto处理STARK证明逻辑，在Cargo.toml中添加依赖：

[dependencies]
cairo-vm = { version = "0.7.0", features = ["starkware"] }
starknet-crypto = "0.4.0"

2. 步骤代码示例 #

• 加载并执行Cairo程序：先将Cairo源码编译为字节码，再通过VM执行得到轨迹与内存快照

use cairo_vm::vm::runners::cairo_runner::CairoRunner;
use cairo_vm::vm::vm_core::VirtualMachine;
use std::fs;

fn run_cairo_program(program_path: &str, input: &str) -> (Vec<u64>, Vec<u64>) {
    let program_bytes = fs::read(program_path).unwrap();
    let mut vm = VirtualMachine::new(false);
    let mut runner = CairoRunner::new(&program_bytes, "main", false).unwrap();
    
    runner.run_from_input(input, &mut vm).unwrap();
    
    let trace = runner.get_trace().unwrap();
    let memory = vm.get_memory().data.clone();
    (trace, memory)
}

• 生成STARK证明：基于执行轨迹构建Cairo专属AIR（代数中间表示），再通过FRI协议生成证明

use starknet_crypto::stark::StarkProof;
use cairo_vm::air::cairo_air::CairoAir;

fn generate_stark_proof(trace: Vec<u64>, memory: Vec<u64>) -> Vec<u8> {
    let air = CairoAir::new(trace, memory);
    let proof = air.generate_proof().unwrap();
    proof.to_bytes()
}

• 本地验证证明：反序列化证明后，基于公开输入重建AIR并完成验证

fn verify_stark_proof(proof_bytes: Vec<u8>, public_input: &[u64]) -> bool {
    let proof = StarkProof::from_bytes(&proof_bytes).unwrap();
    let air = CairoAir::from_public_input(public_input);
    
    air.verify_proof(&proof).unwrap()
}

C++实现方案 #

1. 依赖准备 #

• 克隆starkware-crypto-cpp仓库编译静态库，用于STARK核心算法
• 引入Cairo官方仓库的C++版VM头文件，处理程序执行

2. 步骤代码示例 #

• 执行Cairo程序获取轨迹

#include "cairo_vm/cairo_runner.h"
#include "cairo_vm/vm_core.h"
#include <fstream>
#include <vector>

std::pair<std::vector<uint64_t>, std::vector<uint64_t>> RunCairoProgram(const std::string& program_path, const std::string& input) {
    std::ifstream program_file(program_path, std::ios::binary);
    std::vector<uint8_t> program_bytes((std::istreambuf_iterator<char>(program_file)), std::istreambuf_iterator<char>());
    
    VirtualMachine vm(false);
    CairoRunner runner(program_bytes, "main", false);
    runner.RunFromInput(input, vm);
    
    auto trace = runner.GetTrace();
    auto memory = vm.GetMemory().data;
    return {trace, memory};
}

• 生成STARK证明

#include "starkware/air/cairo_air.h"
#include "starkware/crypto/stark_proof.h"

std::vector<uint8_t> GenerateStarkProof(const std::vector<uint64_t>& trace, const std::vector<uint64_t>& memory) {
    CairoAir air(trace, memory);
    StarkProof proof = air.GenerateProof();
    return proof.Serialize();
}

• 本地验证证明

bool VerifyStarkProof(const std::vector<uint8_t>& proof_bytes, const std::vector<uint64_t>& public_input) {
    StarkProof proof = StarkProof::Deserialize(proof_bytes);
    CairoAir air = CairoAir::FromPublicInput(public_input);
    
    return air.VerifyProof(proof);
}

关键注意事项 #

• Cairo程序编译：必须先通过cairo-compile命令将.cairo源码转为.json字节码文件
• 约束一致性：实现时需严格遵循Cairo预定义的AIR轨迹约束与边界条件，否则证明无法通过验证
• 性能优化：STARK证明生成计算量较大，本地运行可开启多线程加速——Rust可结合rayon crate，C++可使用OpenMP

内容的提问来源于stack exchange，提问作者user16829029