Topological Superintelligence (TSI)
Compositional AI framework using GF(3) triadic balance and category-theoretic foundations.
16 stars
Best use case
Topological Superintelligence (TSI) is best used when you need a repeatable AI agent workflow instead of a one-off prompt.
Compositional AI framework using GF(3) triadic balance and category-theoretic foundations.
Teams using Topological Superintelligence (TSI) should expect a more consistent output, faster repeated execution, less prompt rewriting.
When to use this skill
- You want a reusable workflow that can be run more than once with consistent structure.
When not to use this skill
- You only need a quick one-off answer and do not need a reusable workflow.
- You cannot install or maintain the underlying files, dependencies, or repository context.
Installation
Claude Code / Cursor / Codex
$curl -o ~/.claude/skills/asi/SKILL.md --create-dirs "https://raw.githubusercontent.com/plurigrid/asi/main/.claude-plugin/asi/SKILL.md"
Manual Installation
- Download SKILL.md from GitHub
- Place it in
.claude/skills/asi/SKILL.mdinside your project - Restart your AI agent — it will auto-discover the skill
How Topological Superintelligence (TSI) Compares
| Feature / Agent | Topological Superintelligence (TSI) | Standard Approach |
|---|---|---|
| Platform Support | Not specified | Limited / Varies |
| Context Awareness | High | Baseline |
| Installation Complexity | Unknown | N/A |
Frequently Asked Questions
What does this skill do?
Compositional AI framework using GF(3) triadic balance and category-theoretic foundations.
Where can I find the source code?
You can find the source code on GitHub using the link provided at the top of the page.
SKILL.md Source
# Topological Superintelligence (TSI)
Compositional AI framework using GF(3) triadic balance and category-theoretic foundations.
## Core Principle
Every operation balances trits {-1, 0, +1}:
```
inject(+1) + bridge(0) + emit(-1) ≡ 0 (mod 3)
```
## Tripartite Agent Architecture
| Agent | Trit | Role | Color |
|-------|------|------|-------|
| PLUS | +1 | Generation, creation, synthesis | #FF6B6B |
| ERGODIC | 0 | Coordination, balance, infrastructure | #4ECDC4 |
| MINUS | -1 | Verification, validation, analysis | #45B7D1 |
## Skill Categories
### PLUS Skills (+1)
- `gay-mcp` - Deterministic color generation with SplitMix64
- `triad-interleave` - Balanced schedule interleaving
- `world-hopping` - Badiou-inspired world navigation
- `crdt-vterm` - Collaborative terminal sharing
- `agent-o-rama` - Learning and pattern extraction
### ERGODIC Skills (0)
- `skill-dispatch` - GF(3) triadic task routing
- `unwiring-arena` - Autopoietic closure
- `acsets-algebraic-databases` - Category-theoretic data
- `autopoiesis` - Self-modifying agent configuration
- `cognitive-surrogate` - Cognitive modeling
- `entropy-sequencer` - Information gain optimization
### MINUS Skills (-1)
- `bisimulation-game` - Attacker/Defender verification
- `spi-parallel-verify` - Strong Parallelism Invariance
- `bafishka` - Shell operations verification
- `influence-propagation` - Network analysis
## Mathematical Foundation
The bicomodule framework:
```
c (Control/Semantics) ← High-level reasoning
↕ σ (effect handler)
m (Interface/State) ← Middle layer
↕ ε (counit), δ (comult)
d (Data/Matter) ← Low-level execution
Key law: ε ∘ δ = id (interpretability criterion)
```
## Usage
Install via Claude Code marketplace:
```bash
claude plugin marketplace add plurigrid/asi
claude plugin install plurigrid@asi
```
## Strong Parallelism Invariance (SPI)
Canonical seed: `0xf061ebbc2ca74d78`
Same seed produces identical sequences across all implementations (15+ languages verified).Related Skills
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