MCP tripartite integration for orchestrating distributed tool protocols
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MCP_INVENTORY.mdMCP_OPTIMAL_TRANSITIONS.mdMCP_USAGE_ASSESSMENT.mdVersion: 1.0.0 Trit: 0 (ERGODIC) Domain: mcp, integration, orchestration
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.
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:
# 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})
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:
;; 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]})
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:
# 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)
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:
# 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)
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:
# 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)]
}
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:
# 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")
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:
;; 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"))
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:
# 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)
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:
;; 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")
| 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 ✓ |
# 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
[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"]
{
"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