How does Proof General integrate with this skill?

Proof General provides the universal Emacs-based interface for interacting with the proof assistant, allowing for step-by-step command execution, proof state visualization, and buffer processing.

What are 'Observational Bridge Types' in this context?

Bridge types connect different versions of an object, acting as a formal 'diff' within the type theory. This allows version control operations like branching and merging to be treated as logical dimensions.

What is the purpose of the 27-agent hierarchy?

The hierarchy manages proof states across three levels (Verify, Backfill, and Live), using a Bruhat-Tits tree structure to ensure distributed coherence and efficient navigation of the proof space.

What is the primary advantage of Narya over other proof assistants?

Narya focuses on Higher Observational Type Theory (HOTT), where equality is computed inductively from type structure (bridge types) rather than using an explicit interval type, making it highly effective for structure-aware version control.

Proof General & Narya Integration

Name: Proof General & Narya Integration
Author: plurigrid

byplurigrid

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Enables higher-dimensional type theory proof assistance and version control using observational bridge types.

This skill integrates the universal Proof General interface with Narya, a proof assistant specialized in Higher Observational Type Theory (HOTT). It provides a sophisticated framework for formal verification, featuring a hierarchical 27-agent structure for distributed proof state management, Möbius inversion for trajectory analysis, and Bumpus laxity measures for maintaining coherence. It is ideal for researchers and developers working on structure-aware version control and complex mathematical formalizations where observational equality is preferred over traditional definitional equality.

主要功能

01Observational bridge types for structure-aware version control

02Interactive Proof General interface for managing complex proof states

03Hierarchical agent navigation using Bruhat-Tits tree logic

04Coherence monitoring via Bumpus laxity metrics and Möbius inversion

057 GitHub stars

06Higher-dimensional type theory support for 2-cells and 3-cells

使用场景

01Implementing structure-aware version control systems for code and logic

02Formalizing complex mathematical proofs using Higher Observational Type Theory

03Managing multi-agent distributed proof verification and conflict resolution

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi proofgeneral-narya

For use in Claude.ai and ChatGPT

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