---
name: mcp-tripartite
description: MCP tripartite integration for orchestrating distributed tool protocols
version: 1.0.0
---


# SKILL: MCP Tripartite Integration

**Version**: 1.0.0
**Trit**: 0 (ERGODIC)
**Domain**: mcp, integration, orchestration

---

## Overview

Each MCP server is integrated with a **3-partite structure** that ensures GF(3) conservation:

```
MCP_server ⊗ Skill_MINUS ⊗ Skill_PLUS = 0 (mod 3)
```

This creates balanced triads where each MCP has a validator (-1) and generator (+1) complement.

---

## MCP Tripartite Assignments

### 1. GAY.jl MCP (Trit: 0)
```
three-match (-1) ⊗ gay (0) ⊗ cider-clojure (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `three-match` | Validate GF(3) conservation |
| ERGODIC | `gay-mcp` | Generate deterministic colors |
| PLUS | `cider-clojure` | Interactive REPL exploration |

**Integration Pattern**:
```julia
# Generate color via gay-mcp
color = mcp_call(:gay, :generate_color, seed: 0x42D)

# Validate with three-match
valid = mcp_call(:gay, :verify_gf3, colors: [c1, c2, c3])

# Explore in cider-clojure
(mcp/gay :generate-palette {:seed 1069 :count 12})
```

---

### 2. Firecrawl MCP (Trit: +1)
```
tree-sitter (-1) ⊗ babashka (0) ⊗ firecrawl (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `tree-sitter` | Parse/validate scraped content structure |
| ERGODIC | `babashka` | Transform scraped data |
| PLUS | `firecrawl` | Scrape web content |

**Integration Pattern**:
```clojure
;; Scrape with firecrawl
(def content (mcp/firecrawl :scrape {:url "https://example.com"}))

;; Parse with tree-sitter
(def ast (mcp/tree-sitter :get_ast {:content content :language "html"}))

;; Transform with babashka
(bb/transform ast {:extract [:title :links :code-blocks]})
```

---

### 3. Exa MCP (Trit: +1)
```
radare2 (-1) ⊗ huggingface (0) ⊗ exa (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `radare2` | Deep binary/code analysis |
| ERGODIC | `huggingface` | Model/paper discovery |
| PLUS | `exa` | AI-powered search |

**Integration Pattern**:
```python
# Search with exa
results = mcp_call("exa", "web_search_exa", query="LLVM optimization passes")

# Find related papers on huggingface
papers = mcp_call("huggingface", "paper_search", query="compiler optimization")

# Analyze binaries with radare2 (for found libraries)
analysis = mcp_call("radare2", "analyze", level=2)
```

---

### 4. HuggingFace MCP (Trit: 0)
```
proofgeneral-narya (-1) ⊗ huggingface (0) ⊗ rubato-composer (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `proofgeneral-narya` | Verify model properties formally |
| ERGODIC | `huggingface` | Navigate model/dataset space |
| PLUS | `rubato-composer` | Compose musical gestures from model outputs |

**Integration Pattern**:
```julia
# Search for audio models
models = mcp_call(:huggingface, :model_search, task: "audio-generation")

# Verify model claims with narya
verify(:model_output_bounded, model: first(models))

# Compose with rubato
rubato_gesture(:from_model_output, model_result)
```

---

### 5. Tree-Sitter MCP (Trit: -1)
```
tree-sitter (-1) ⊗ unworld (0) ⊗ gay-mcp (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `tree-sitter` | Parse and validate AST |
| ERGODIC | `unworld` | Derive seed chains from code |
| PLUS | `gay-mcp` | Color code elements |

**Integration Pattern**:
```ruby
# Parse code with tree-sitter
ast = mcp_call(:tree_sitter, :get_ast, file: "lib/synergistic_triads.rb")

# Derive seeds via unworld
seeds = unworld_chain(ast.node_count, genesis: 0x42D)

# Color AST nodes with gay-mcp
colored_ast = seeds.zip(ast.nodes).map { |seed, node|
  [node, mcp_call(:gay, :generate_color, seed: seed)]
}
```

---

### 6. Radare2 MCP (Trit: -1)
```
radare2 (-1) ⊗ glass-bead-game (0) ⊗ marginalia (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `radare2` | Reverse engineer binaries |
| ERGODIC | `glass-bead-game` | Navigate concept space |
| PLUS | `marginalia` | Search indie documentation |

**Integration Pattern**:
```julia
# Disassemble function with radare2
asm = mcp_call(:radare2, :disassemble_function, address: "main")

# Find related concepts via glass-bead
beads = glass_bead_connect(:assembly, :documentation)

# Search indie web for obscure docs
docs = mcp_call(:marginalia, :search, query: "x86 calling convention")
```

---

### 7. Babashka MCP (Trit: 0)
```
clj-kondo-3color (-1) ⊗ babashka (0) ⊗ geiser-chicken (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `clj-kondo-3color` | Lint Clojure code |
| ERGODIC | `babashka` | Execute Clojure scripts |
| PLUS | `geiser-chicken` | Interactive Scheme REPL |

**Integration Pattern**:
```clojure
;; Lint with clj-kondo
(def warnings (mcp/clj-kondo :lint {:file "script.bb"}))

;; Execute with babashka
(mcp/babashka :run_script {:script "script.bb"})

;; Explore in geiser-chicken (Scheme bridge)
(geiser-eval '(load "interop.scm"))
```

---

### 8. Marginalia MCP (Trit: +1)
```
hatchery-papers (-1) ⊗ epistemic-arbitrage (0) ⊗ marginalia (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `hatchery-papers` | Validate against academic papers |
| ERGODIC | `epistemic-arbitrage` | Propagate knowledge across domains |
| PLUS | `marginalia` | Search indie web |

**Integration Pattern**:
```ruby
# Search indie web
results = mcp_call(:marginalia, :search, query: "category theory software")

# Cross-reference with academic papers
papers = hatchery_match(results, topic: "applied category theory")

# Propagate via epistemic arbitrage
propagate_knowledge(from: papers, to: results, gain: :information)
```

---

### 9. Unison MCP (Trit: 0)
```
slime-lisp (-1) ⊗ unison (0) ⊗ xenodium-elisp (+1) = 0 ✓
```

| Role | Component | Action |
|------|-----------|--------|
| MINUS | `slime-lisp` | Interactive Lisp debugging |
| ERGODIC | `unison` | Content-addressed code transport |
| PLUS | `xenodium-elisp` | Emacs integration |

**Integration Pattern**:
```elisp
;; Find code in unison
(mcp-unison-find "List.map")

;; Debug in slime
(slime-eval-async '(describe 'map))

;; Integrate via xenodium
(dwim-shell-command "ucm transcript")
```

---

## Complete Triad Matrix

| MCP | Trit | MINUS Partner | PLUS Partner | GF(3) |
|-----|------|---------------|--------------|-------|
| gay | 0 | three-match | cider-clojure | 0 ✓ |
| firecrawl | +1 | tree-sitter | (self) | needs -1 ⊗ 0 |
| exa | +1 | radare2 | (self) | needs -1 ⊗ 0 |
| huggingface | 0 | proofgeneral-narya | rubato-composer | 0 ✓ |
| tree-sitter | -1 | (self) | gay-mcp | needs 0 |
| radare2 | -1 | (self) | marginalia | needs 0 |
| babashka | 0 | clj-kondo-3color | geiser-chicken | 0 ✓ |
| marginalia | +1 | hatchery-papers | (self) | needs -1 ⊗ 0 |
| unison | 0 | slime-lisp | xenodium-elisp | 0 ✓ |

---

## Commands

```bash
# List all MCP triads
just mcp-triads

# Check GF(3) conservation across all MCPs
just mcp-gf3-check

# Run specific MCP triad
just mcp-triad gay        # gay ⊗ three-match ⊗ cider-clojure
just mcp-triad firecrawl  # firecrawl ⊗ tree-sitter ⊗ babashka
just mcp-triad huggingface

# Test MCP connectivity
just mcp-ping gay
just mcp-ping firecrawl
just mcp-ping all
```

---

## Configuration

### Codex (~/.codex/config.toml)
```toml
[mcp_servers.gay]
command = "julia"
args = ["--project=@gay", "-e", "using Gay; Gay.serve_mcp()"]

[mcp_servers.firecrawl]
url = "https://mcp.firecrawl.dev/..."

[mcp_servers.huggingface]
command = "node"
args = ["hf-mcp-server/dist/server/stdio.js"]
```

### Crush (.crush.json)
```json
{
  "mcp": {
    "gay": { "type": "stdio", "command": "julia", "args": [...] },
    "exa": { "type": "http", "url": "https://mcp.exa.ai/..." },
    "babashka": { "type": "stdio", "command": "npx", "args": [...] }
  }
}
```

---

**Skill Name**: mcp-tripartite
**Type**: MCP Integration / Orchestration
**Trit**: 0 (ERGODIC) - coordinates across triads
**GF(3)**: Conserved by design



## Scientific Skill Interleaving

This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:

### Graph Theory
- **networkx** [○] via bicomodule
  - Universal graph hub

### Bibliography References

- `general`: 734 citations in bib.duckdb



## SDF Interleaving

This skill connects to **Software Design for Flexibility** (Hanson & Sussman, 2021):

### Primary Chapter: 5. Evaluation

**Concepts**: eval, apply, interpreter, environment

### GF(3) Balanced Triad

```
mcp-tripartite (+) + SDF.Ch5 (−) + [balancer] (○) = 0
```

**Skill Trit**: 1 (PLUS - generation)

### Secondary Chapters

- Ch1: Flexibility through Abstraction
- Ch4: Pattern Matching
- Ch2: Domain-Specific Languages
- Ch10: Adventure Game Example
- Ch7: Propagators

### Connection Pattern

Evaluation interprets expressions. This skill processes or generates evaluable forms.
## Cat# Integration

This skill maps to **Cat# = Comod(P)** as a bicomodule in the equipment structure:

```
Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826
```

### GF(3) Naturality

The skill participates in triads satisfying:
```
(-1) + (0) + (+1) ≡ 0 (mod 3)
```

This ensures compositional coherence in the Cat# equipment structure.