external
External skill interface for integration with external systems
influence-propagation
Layer 7 Interperspectival Network Analysis and Influence Flow
koopman-generator
Koopman operator theory for infinite-dimensional linear lifting of nonlinear dynamics. Generates dynamics from observables.
lhott-cohesive-linear
Cohesive Linear HoTT patterns for interaction entropy with diagram generation. Implements Schreiber's cohesive modalities (♯,♭,ʃ) and Riley's linear modality (♮) for quantum-classical bridging.
lispsyntax-acset
LispSyntax.jl ↔ ACSets.jl bidirectional bridge with OCaml ppx_sexp_conv-style deriving
llm-application-dev
Building applications with Large Language Models - prompt engineering, RAG patterns, and LLM integration. Use for AI-powered features, chatbots, or LLM-based automation.
mcp-builder
Guide for creating high-quality MCP (Model Context Protocol) servers that enable LLMs to interact with external services through well-designed tools. Use when building MCP servers to integrate external APIs or services, whether in Python (FastMCP) or Node/TypeScript (MCP SDK).
möbius-path-filtering
Non-orientable topological filtering that eliminates self-revisiting paths
oapply-colimit
oapply: Operad algebra evaluation via colimits. Composes machines/resource sharers.
polyglot-spi
Cross-Language Strong Parallelism Invariance Verification for 15+ languages
pulse-mcp-stream
Layer 1 Real-Time Social Stream Monitoring via MCP with DuckDB persistence
skill-creator
Guide for creating effective skills. Use when users want to create a new skill (or update an existing skill) that extends Claude's capabilities with specialized knowledge, workflows, or tool integrations.
specter-navigator-gadget
Unified Specter/Navigator/3-MATCH architecture with bidirectional path compilation
structured-decomp
StructuredDecompositions.jl: Sheaves on tree decompositions for FPT algorithms
tuple-nav-composition
Tuple and product structure navigation with composition
type-inference-validation
Static type inference and validation for navigation paths
uv-discohy
UV/UVX/Ruff toolchain for DiscoHy Thread Operad with Python packaging and linting
acsets-algebraic-databases
ACSets (Attributed C-Sets): Algebraic databases as in-memory data structures. Category-theoretic formalism for relational databases generalizing graphs and data frames.
bisimulation-game
Bisimulation game for resilient skill dispersal across AI agents with GF(3) conservation and observational bridge types.
bmorphism-stars
bmorphism's GitHub stars (2155 repos) and created repos - a curated index of applied category theory, MCP servers, and xenomodern tooling.
borkdude
Guidance for selecting the right ClojureScript runtime across scripting, browser, Node, and embedded use.
cider-clojure
CIDER integration for Clojure development with nREPL
cider-embedding
Semantic embeddings for Clojure code navigation via CIDER
clj-kondo-3color
clj-kondo linter with Gay.jl 3-color integration for GF(3) conservation in Clojure code analysis.
codex-self-rewriting
Lisp machine self-modification patterns via MCP Tasks and Narya bridge types
epistemic-arbitrage
Propagator-based parallel structure for exploiting knowledge differentials across domains using local scoped propagators and SplitMixTernary RNG.
frontend-design
AI-guided UI/UX design patterns with Gay.jl deterministic colors
gay-mcp
Deterministic color generation with SplitMix64, GF(3) trits, and MCP tools for palettes and threads.
geiser-chicken
Geiser REPL integration for Chicken Scheme with SplitMixTernary 3-coloring and crdt.el sexp patterns.
glass-bead-game
Hesse-inspired interdisciplinary synthesis game with Badiou triangle inequality for possible world hopping across mathematical, musical, and philosophical domains.
hatchery-papers
Chicken Scheme Hatchery eggs and academic papers for color logic, 2TDX, colored operads, and higher observational type theory.
mathpix-ocr
Mathpix OCR for LaTeX extraction with balanced ternary checkpoints
proofgeneral-narya
Proof General + Narya: Higher-dimensional type theory proof assistant with observational bridge types for version control.
rama-gay-clojure
Red Planet Labs Rama with Gay.jl deterministic coloring for 100x backend development with gay-colored parentheses as expressive as tensor shapes.
rubato-composer
Rubato Composer integration for Mazzola's mathematical music theory
self-validation-loop
Run self-validation loops for triadic color systems using prediction vs observation and error minimization.
skill-installer
Install Codex skills into $CODEX_HOME/skills from a curated list or a GitHub repo path. Use when a user asks to list installable skills, install a curated skill, or install a skill from another repo (including private repos).
slime-lisp
SLIME integration for Common Lisp development
spi-parallel-verify
Verify Strong Parallelism Invariance (SPI) and GF(3) conservation for 3-way color streams with arbitrary precision.
squint-runtime
Squint ClojureScript runtime for minimal JS output compilation
three-match
3-MATCH gadgets and non-backtracking geodesics for 3-SAT via colored subgraph isomorphism.
triad-interleave
Interleave three deterministic color streams into balanced schedules for parallel execution and evaluation.
unworld
Replace temporal succession with derivational chains using deterministic seeds and GF(3) invariants.
unworlding-involution
Self-inverse derivation patterns where ι∘ι = id for frame-invariant self
world-hopping
Badiou-inspired possible world navigation using triangle inequality constraints, event ontology, and truth procedures for traversing mathematical possibility space.
xenodium-elisp
Xenodium's Emacs packages: chatgpt-shell, agent-shell, dwim-shell-command, and ACP integration for modern Emacs development.
compositional-acset-comparison
Compare data structures (DuckDB, LanceDB) via ACSets with persistent homology coverage analysis and geometric morphism translation.
asi-polynomial-operads
ASI skill integrating polynomial functors, free monad/cofree comonad module action, operadic decomposition, and open games for compositional intelligence.
causal-inference
Bengio's causal inference for AI: Interventional reasoning, counterfactuals, and System 2 deep learning. World models with causal structure.
analyzing-kubernetes-audit-logs
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