What is Strong Parallelism Invariance (SPI)?

SPI is a property where a system yields the exact same result regardless of whether operations are performed sequentially, in parallel, or in a shuffled order.

Why is GF(3) conservation important in this skill?

GF(3) refers to Galois Field 3 (ternary logic). Conservation checks ensure that the 3-way color streams maintain mathematical integrity and parity across transformations.

How does this skill handle floating-point errors?

The skill utilizes arbitrary precision or hex-based comparisons to avoid the standard float truncation issues that often plague RNG state management.

Which algorithms does this skill support for verification?

It specifically supports splitmix_ternary, xoroshiro_3color, and gay_mcp sources for generating and verifying color streams.

SPI Parallel Verification

Name: SPI Parallel Verification
Author: plurigrid

byplurigrid

•

セキュリティとテスト

Verifies mathematical determinism and Strong Parallelism Invariance (SPI) for ternary logic color streams across parallel execution paths.

This skill provides a robust framework for validating that parallel, shuffled, or split executions of 3-way color streams yield identical results to sequential processing. By checking Strong Parallelism Invariance (SPI) and GF(3) conservation laws, it ensures mathematical consistency in topological computing and ternary logic systems. It is particularly useful for developers working with complex RNG states, distributed simulations, and cryptographic foundations where execution order must not impact the final state or output.

主な機能

01Compares parallel and sequential execution paths for bit-perfect identity

02Supports arbitrary precision to prevent floating-point truncation of RNG states

03Validates Strong Parallelism Invariance (SPI) across shuffled and ordered sequences

04Generates deterministic reports including seeds, indices, and hex-based comparisons

057 GitHub stars

06Verifies GF(3) conservation laws for 3-way ternary color streams

ユースケース

01Debugging non-deterministic behavior in parallelized RNG or stream-processing algorithms

02Ensuring distributed systems yield consistent results across different processing nodes

03Validating ternary logic implementations in cryptographic or topological computing environments

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi spi-parallel-verify

For use in Claude.ai and ChatGPT

Download Skill