logos/knowledge_base/doc_index.md

[DOC] https://docs.pydantic.dev/latest/

Analysis:

Pydantic Validation & Schema Definition

Core Concepts:

1. Type Hints: Uses Python standard type hints for schema validation.
2. Rust Core: Core validation logic is written in Rust for significant speed improvements (Pydantic V2).
3. JSON Schema: Models can emit standard JSON Schemas for integration.
4. Strict/Lax Modes: Supports precise type enforcement or flexible coercion.
5. Serialization: Custom serializers allow complex data processing flows.

Relevance to LOGOS: - Useful for validating AtomicState and Tensor objects in the Neural Router. - Can formalize the ManifoldState schema.