The Skill Bonds Registry is an advanced orchestration framework designed to manage, balance, and integrate complex AI agent capabilities. By utilizing a triadic random walk and GF(3) mathematical models, it maps the relationships (bonds) between diverse technical skills such as DuckDB, Babashka, and ACSet. This skill solves the challenge of multi-tool interference and architectural instability by providing a structured registry of compatible skill sets, identifying critical path conflicts, and offering automated remediation strategies for seamless agent performance.

When should I use skill-bonds?

skill-bonds is useful in the following scenarios: • Agent Skill Balancing: Using GF(3) conserved triads to select a balanced set of tools (e.g., combining Babashka, DuckDB, and ACSet) to ensure operational stability. • Conflict Detection and Remediation: Identifying and fixing critical system conflicts such as path mismatches or schema redefinitions when multiple agent tools are active simultaneously. • Cross-Paradigm Integration: Implementing bridge patterns to connect functional programming environments (SICP/Lisp) with relational databases (DuckDB) for complex data processing tasks. • Agent Infrastructure Optimization: Mapping a full skill graph to understand the strength and integration potential of different technical modules within an autonomous agent system.

name	skill-bonds
description	Skill Bonds Registry
version	1.0.0

Skill Bonds Registry

Discovered via 3× triadic random walk across 467 skills Seeds: 0xDEAD (MINUS), 0xBEEF (ERGODIC), 0xCAFE (PLUS)

Bond Categories (Full Skill Graph)

Rank	Bond	Count	Coverage
1	GF(3)	456	97.6%
2	DuckDB	361	77.3%
3	Category	222	47.5%
4	Gay.jl	147	31.5%
5	Babashka	137	29.3%
6	ACSet	133	28.5%
7	MCP	89	19.1%
8	Sheaf	84	18.0%
9	Random Walk	75	16.1%
10	SICP	4	0.9%

Top 5 Compatible Skill Bonds

Bond	Skills	Strength	Integration
lisp-unity	babashka ↔ sicp	0.95	Shared Lisp/functional paradigm
execution-bridge	babashka ↔ duckdb	0.93	bb scripts drive DuckDB queries
determinism	duckdb ↔ random-walk-fusion	0.92	SplitMix64 PRNG seeding
schema-first	acsets ↔ duckdb	0.90	Both use declarative schemas
derivational	sicp ↔ random-walk-fusion	0.88	Substitution = derivation chains

Known Conflicts (42 total)

Category	Count	Severity	Remediation
duckdb-path-mismatch	20	🔴 CRITICAL	Replace `/Users/bob` → `/Users/alice`
multi-trit-identity	10	🔵 LOW	Skills claim multiple trits (ok)
gf3-violation-noted	4	🟡 MEDIUM	Add rebalancing skill to triad
voice-saturation	4	🔵 LOW	Limit `say -v` voices per skill
mcp-multi-world-collision	2	🟠 HIGH	Separate world_X refs
schema-redefinition	2	🟡 MEDIUM	Consolidate @acset_type

Critical Path Conflicts (Top 10)

Skill	Conflict
duck-agent	duckdb-path-mismatch
duckdb-ies	duckdb-path-mismatch
ies-triadic	duckdb-path-mismatch
naturality-factor	duckdb-path-mismatch
pun-decomposition	duckdb-path-mismatch
sense	duckdb-path-mismatch
browser-history-acset	duckdb-path-mismatch
duck-time-travel	duckdb-path-mismatch
hyjax-relational	duckdb-path-mismatch
wev-liquidity-monitor	mcp-multi-world-collision

GF(3) Conserved Triads (15 verified)

MINUS (-1)	ERGODIC (0)	PLUS (+1)
hvm-runtime	rama-gay-clojure	scheme
topos-of-music	rama-gay-clojure	file-organizer
topos-of-music	protocol-acset	scheme
godel-machine	rama-gay-clojure	scheme
topos-of-music	rama-gay-clojure	joker-lint
turing-chemputer	zig-programming	trifurcated-transfer
topos-of-music	terminal	triadic-skill-orchestrator
invoice-organizer	rama-gay-clojure	scheme
ocaml	directed-interval	scheme
topos-of-music	stellogen	self-validation-loop
ocaml	amp-team-usage	scheme
topos-of-music	rama-gay-clojure	curiosity-driven
ocaml	influence-propagation	scheme
babashka	duck-agent	acsets
sicp	random-walk-fusion	duckdb

Integration Patterns

1. ACSet-DuckDB Bridge

(defn acset->duckdb [acset db-path]
  (duck/execute! db-path
    "INSERT INTO acset_morphisms VALUES (?, ?)"
    [(:src acset) (:tgt acset)]))

2. SICP Chapter Walker

(defn sicp-walk [seed chapters]
  (let [walk-fn (random-walk-fusion seed)]
    (take 5 (iterate walk-fn {:chapter 1}))))

3. Functional Schema Pipeline

(def sicp-schema
  '{:Ob [Procedure Data]
    :Hom {:apply [Procedure Data]
          :eval [Data Procedure]}})

Usage

Load balanced triads:

skill acsets babashka duck-agent  # GF(3) = 0
skill sicp random-walk-fusion duck-agent  # GF(3) = 0

Generated: 2026-01-01 via random-walk-fusion
Seeds: 0xDEAD (MINUS), 0xBEEF (ERGODIC), 0xCAFE (PLUS)

skill-bonds

When & Why to Use This Skill

Use Cases