What is the Narya proof assistant?

Narya is a proof assistant for higher observational type theory (HOTT) that supports higher dimensions (2-cells, 3-cells) and uses inductive bridge types rather than explicit interval types.

How does this skill handle version control for proofs?

It uses observational bridge types to treat version control operations like fork, merge, and continue as dimensional transitions, allowing for structure-aware diffing of mathematical proofs.

What is the significance of the 27-agent hierarchy?

The hierarchy uses a 3x3x3 structure based on GF(3) trit mapping (Backfill, Verify, Live) to ensure compositional coherence and navigation of the Bruhat-Tits tree.

Does this require Emacs?

While it integrates with the Proof General Emacs interface, the skill provides Claude with the logic to manage Narya syntax and hierarchical agent structures independently.

ProofGeneral Narya: Higher-Dimensional Type Theory

Name: ProofGeneral Narya: Higher-Dimensional Type Theory
Author: plurigrid

byplurigrid

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Security & Testing

Automates higher-dimensional formal verification and version control using observational type theory and hierarchical agent structures.

About

This skill integrates Proof General with the Narya proof assistant to facilitate higher observational type theory (HOTT) workflows within Claude. It enables developers and mathematicians to treat mathematical truth as a version-controlled system, utilizing observational bridge types to manage diffs and conflicts in higher dimensions. By leveraging active inference loops and hierarchical agent structures, it provides a sophisticated framework for formal verification, ensuring compositional coherence and structural awareness in complex topological computing and problem-solving environments.

Key Features

Observational bridge types for structure-aware version control
Higher-dimensional observational type theory proof assistance
Advanced metrics using Möbius inversion and Bumpus laxity
2 GitHub stars
Integration of Proof General for interactive Emacs-based verification
Hierarchical 27-agent structure for distributed state management

Use Cases

Version-controlled mathematical modeling using observational bridge types
Formal verification of complex mathematical properties and software systems
Researching active inference and topological computing within a type-theoretic framework

About

Key Features

Observational bridge types for structure-aware version control
Higher-dimensional observational type theory proof assistance
Advanced metrics using Möbius inversion and Bumpus laxity
2 GitHub stars
Integration of Proof General for interactive Emacs-based verification
Hierarchical 27-agent structure for distributed state management

Use Cases

Version-controlled mathematical modeling using observational bridge types
Formal verification of complex mathematical properties and software systems
Researching active inference and topological computing within a type-theoretic framework