Why does this skill require DuckDB?

The skill uses DuckDB to query and store derivation chains, expert triads, and the current 'now' superposition of the system's state for data-driven analysis.

What is CapTP in the context of this skill?

CapTP stands for Capability Transfer Protocol, a secure method for distributed systems to manage object references. This skill specifically traces how those capabilities are derived and transferred.

How does the 3x3 expert poset work?

It organizes expertise into three layers (categorical-games, sheaf-theory, neural-categorical) and three roles (Validator, Coordinator, Generator) to ensure balanced system evolution.

What is GF(3) conservation?

It is a mathematical constraint where the sum of terms and experts must be congruent to 0 (mod 3), ensuring the system remains in a coherent, balanced state.

Universal CapTP Capability Derivation

Name: Universal CapTP Capability Derivation
Author: plurigrid

byplurigrid

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安全与测试

Traces and manages Capability Transfer Protocol (CapTP) derivation chains using a 3×3 expert poset and GF(3) conservation logic.

关于

This skill provides a mathematical and topological framework for managing capability-based security within distributed systems. It leverages a 3×3 expert poset—categorizing roles as Validators, Coordinators, or Generators—to ensure compositional coherence across derivation chains. By integrating with DuckDB to track culture evolution and expert triads, it allows Claude to audit lifecycle paths, manage revocation, and maintain ergonomic, category-theoretic state alignment in complex 'topological chemputer' environments. It is particularly useful for developers working with distributed capability-based security (CapTP) and category theory-informed software architecture.

主要功能

2 GitHub stars
Automated tracing of CapTP derivation chains and lifecycle paths
GF(3) conservation auditing to ensure system-wide compositional coherence
DuckDB integration for querying cultural evolution and expert triad datasets
Real-time state monitoring of capability superposition and RGB color channels
3×3 expert poset alignment across Validator, Coordinator, and Generator roles

使用场景

Mapping and managing contributor expertise within a topological graph framework
Verifying mathematical coherence in category-theoretic software architectures
Auditing complex capability lifecycles and revocation paths in distributed systems

关于

主要功能

2 GitHub stars
Automated tracing of CapTP derivation chains and lifecycle paths
GF(3) conservation auditing to ensure system-wide compositional coherence
DuckDB integration for querying cultural evolution and expert triad datasets
Real-time state monitoring of capability superposition and RGB color channels
3×3 expert poset alignment across Validator, Coordinator, and Generator roles

使用场景

Mapping and managing contributor expertise within a topological graph framework
Verifying mathematical coherence in category-theoretic software architectures
Auditing complex capability lifecycles and revocation paths in distributed systems