How do observational bridge types improve version control?

Bridge types allow for diffing based on the internal structure and behavior of types, enabling more sophisticated conflict resolution than traditional text-based diffs.

What are the hierarchical agent structures used for?

They facilitate 'social cognition' and democratized problem-solving by organizing agents into a balanced ternary hierarchy for distributed proof verification.

Narya is a proof assistant for higher observational type theory (HOTT) that supports higher-dimensional cells and provides a framework for observational equality.

What is the role of Proof General in this skill?

Proof General acts as the interactive interface, allowing users to step through proofs, visualize the proof state, and manage the locked and unprocessed regions of a formal document.

ProofGeneral + Narya Type Theory

Name: ProofGeneral + Narya Type Theory
Author: plurigrid

byplurigrid

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Developer Tools

Provides a higher-dimensional type theory proof assistant environment with observational bridge types for structure-aware version control.

This skill integrates the Proof General interface with Narya, a specialized proof assistant for Higher Observational Type Theory (HOTT). It enables advanced formal verification through observational equality, where identity is defined by observable behavior rather than just definitional proof. By leveraging bridge types and higher-dimensional cells, it offers a unique structure-aware approach to version control and collaborative mathematical problem-solving, incorporating active inference and categorical structures like Bruhat-Tits trees for complex agent-based trajectory analysis.

Key Features

01Observational bridge types for inductive equality and structure-aware diffing

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03Hierarchical agent navigation using Bruhat-Tits tree structures

04Higher-dimensional type theory support (HOTT) for 2-cells and 3-cells

05Interactive Proof General environment for real-time proof state visualization

06Advanced coherence metrics using Bumpus Laxity and Möbius inversion

Use Cases

01Implementing high-integrity version control systems for structured code and specifications

02Formalizing complex mathematical proofs and types using Higher Observational Type Theory

03Modeling multi-agent cognitive systems and collaborative problem-solving frameworks

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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