ies/music-topos/.claude-marketplaces/topos-skills/plugins/topos-skills/skills/spi-parallel-verify/SKILL.md
Verify Strong Parallelism Invariance (SPI) and GF(3) conservation for 3-way color streams with arbitrary precision.
npx skillsauth add plurigrid/asi spi-parallel-verifyInstall this skill globally with one command. Works with Claude Code, Cursor, and Windsurf.
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Use when validating that parallel, shuffled, or split execution yields identical results.
just spi-verifyjust spi-gf3-parallelruby -I lib -r splitmix_ternary -e "require 'json'; puts JSON.pretty_generate(SplitMixTernary.prove_out_of_order)""Verify SPI and GF(3) for 3-stream triads at seed 0x42D and report determinism."
development
BDD-Driven Mathematical Content Verification Skill Combines Behavior-Driven Development with mathematical formula extraction, verification, and transformation using: - Cucumber/Gherkin for specification - RSpec for implementation verification - mathpix-gem for LaTeX/mathematical content extraction - Pattern matching on syntax trees for formula validation Enables iterative discovery and verification of mathematical properties through executable specifications.
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Meta-skill that generates domain-specific AI skills from tool documentation
development
Code Query with AI-enhanced deterministic analysis via SplitMix ternary classification
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Directed Yoneda lemma as directed path induction. Riehl-Shulman's key insight for synthetic ∞-categories.