What are Acsets in this skill?

Acsets are algebraic databases based on category theory that allow for highly structured, formally verified data modeling and schema mapping within AI-driven workflows.

How does Strong Parallelism Invariance (SPI) benefit developers?

SPI ensures that the same seed produces identical sequences and results across 15+ different programming language implementations, providing extreme predictability in AI-generated logic.

Can I use ASI for collaborative coding environments?

Yes, the skill includes a 'crdt-vterm' capability which enables collaborative terminal sharing and synchronized multi-agent terminal operations.

How do I install the ASI skill for Claude?

You can install it directly via the Claude Code marketplace using the command: 'claude plugin install plurigrid@asi'.

What is GF(3) triadic balance in the context of ASI?

GF(3) triadic balance is a mathematical framework where every operation is balanced between generation (+1), coordination (0), and verification (-1) to ensure system stability and logical integrity.

Topological Superintelligence (ASI)

Name: Topological Superintelligence (ASI)
Author: plurigrid

byplurigrid

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Data Science & ML

Implements a compositional AI framework based on category theory and GF(3) triadic balance for deterministic, self-modifying agent architectures.

About

ASI (Topological Superintelligence) is a highly specialized Claude Code skill designed for developers building complex, self-organizing AI systems. It utilizes a triadic architecture—categorizing tasks into Generation (+1), Coordination (0), and Verification (-1)—grounded in mathematical category theory and Galois Field balance. This framework allows Claude to manage high-level reasoning and low-level data execution with formal interpretability. It is particularly valuable for projects requiring Strong Parallelism Invariance (SPI) to ensure deterministic results across different environments, as well as for those implementing autopoietic, self-modifying agent configurations.

Key Features

Strong Parallelism Invariance (SPI) for deterministic execution
Autopoietic self-modifying agent configurations
Collaborative terminal sharing via CRDT-vterm
Triadic Agent Architecture (Plus/Ergodic/Minus balancing)
Category-theoretic algebraic database management (Acsets)
2 GitHub stars

Use Cases

Developing self-healing software systems using autopoietic closures and formal verification.
Building deterministic AI agents that produce identical outputs across multiple programming languages.
Managing complex data relationships and state migrations using algebraic database schemas.

About

Key Features

Strong Parallelism Invariance (SPI) for deterministic execution
Autopoietic self-modifying agent configurations
Collaborative terminal sharing via CRDT-vterm
Triadic Agent Architecture (Plus/Ergodic/Minus balancing)
Category-theoretic algebraic database management (Acsets)
2 GitHub stars

Use Cases

Developing self-healing software systems using autopoietic closures and formal verification.
Building deterministic AI agents that produce identical outputs across multiple programming languages.
Managing complex data relationships and state migrations using algebraic database schemas.