What is the benefit of seed-based state over temporal state?

By using 64-bit seeds and derivation chains, the system ensures that the same seed always produces the same sequence of actions, making AI behaviors fully reproducible and independent of time.

How does the trifurcation pattern work?

Every operation is split into three sub-derivations: a Validator (Minus), a Coordinator (Ergodic), and a Generator (Plus). Their combined 'charge' must sum to zero in GF(3) arithmetic to ensure stability.

What are 'stalks' and 'sections' in this context?

These are concepts from sheaf theory used to manage data. A section is local data produced by a derivation, and a stalk is a collection of sections that can be 'glued' together if they satisfy the cocycle condition.

What is the primary purpose of the Pre-Agent Ontology skill?

It provides a rigorous mathematical framework that treats agents as emergent fiber bundles rather than basic primitives, ensuring structural integrity and deterministic behavior in complex AI systems.

Pre-Agent Ontology

Name: Pre-Agent Ontology
Author: plurigrid

byplurigrid

•

数据科学与机器学习

Establishes a foundational 5-layer topological framework for agent-based systems using sheaf theory and GF(3) arithmetic.

关于

The Pre-Agent Ontology Skill provides a rigorous mathematical foundation for building emergent AI agent systems. Instead of treating agents as primitives, this skill implements a five-layer hierarchy—ranging from pre-ontological seeds to emergent fiber bundles—ensuring system stability through trifurcation patterns and GF(3) conservation. It is ideal for developers building complex, deterministic agentic architectures that require formal verification, sheaf-theoretic gluing, and order-independent execution within the Claude Code environment.

主要功能

Sheaf-Theoretic Gluing: Uses cohomology to verify global consistency and structural integrity across local agent sections.
2 GitHub stars
GF(3) Conservation: Ensures compositional coherence and stability invariants via modular arithmetic (mod 3) across agent triads.
5-Layer Hierarchy: Manages everything from Layer 0 (pre-ontological seeds) to Layer 4 (emergent agents and skills).
Deterministic State: Replaces temporal state with 64-bit seed-based derivation chains for perfectly reproducible AI behavior.
Trifurcation Pattern: Mandates a mandatory three-way split (Validator, Coordinator, Generator) for all agent operations.

使用场景

Building modular AI systems where specialized sections must be 'glued' together using sheaf-theoretic consistency checks.
Implementing deterministic AI workflows where execution order must not affect final results (Order Independence).
Architecting high-reliability agentic systems that require formal stability invariants and mathematical verification.

关于

主要功能

Sheaf-Theoretic Gluing: Uses cohomology to verify global consistency and structural integrity across local agent sections.
2 GitHub stars
GF(3) Conservation: Ensures compositional coherence and stability invariants via modular arithmetic (mod 3) across agent triads.
5-Layer Hierarchy: Manages everything from Layer 0 (pre-ontological seeds) to Layer 4 (emergent agents and skills).
Deterministic State: Replaces temporal state with 64-bit seed-based derivation chains for perfectly reproducible AI behavior.
Trifurcation Pattern: Mandates a mandatory three-way split (Validator, Coordinator, Generator) for all agent operations.

使用场景

Building modular AI systems where specialized sections must be 'glued' together using sheaf-theoretic consistency checks.
Implementing deterministic AI workflows where execution order must not affect final results (Order Independence).
Architecting high-reliability agentic systems that require formal stability invariants and mathematical verification.