Traces and validates capability derivation chains using 3x3 expert posets and GF(3) conservation principles.
The Universal CapTP Derivation skill provides a sophisticated framework for managing and auditing Capability Transport Protocol (CapTP) lifecycles through the lens of category theory. By organizing capabilities into a 3x3 expert poset (covering domains like categorical games and sheaf theory) and enforcing GF(3) conservation laws, it ensures that every capability derivation—from spawn to revocation—is compositionally coherent. This skill is ideal for developers working on high-assurance distributed systems, topological computing, or complex capability-based security architectures that require mathematical verification of permission flows.
Key Features
01Traces capability lifecycle paths including spawn, invoke, transfer, and revoke
02Validates system coherence using GF(3) conservation (mod 3) arithmetic
03Integrates with scientific ecosystems for network analysis and categorical modeling
048 GitHub stars
05Maps capability states across a 3x3 expert poset of Validators, Coordinators, and Generators
06Queries superposition states via DuckDB for real-time system state analysis
Use Cases
01Modeling software architecture evolution as a topological 'chemputer' system
02Verifying the mathematical integrity of security-critical capability paths
03Auditing complex distributed capability handoffs and revocation chains
