theory-search

Search cross-domain theorems and techniques for proof problems.

7|1|Updated Mar 19, 2026
One-click install
npx skills add https://github.com/Shiien/Self-Evolved-Research-Framework --skill theory-search
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: theory-search
Source: https://github.com/Shiien/Self-Evolved-Research-Framework/tree/main/skills/theory-search
Command: npx skills add https://github.com/Shiien/Self-Evolved-Research-Framework --skill theory-search

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps researchers quickly locate cross-domain theorems and techniques that can advance a proof, reducing time spent on manual literature sweeps.

Core Features & Use Cases

  • Search across domains (spectral graph theory, functional analysis, optimization, information geometry, topology) for known results relevant to a proof problem.
  • Provide references and adaptation notes for applying a theorem to the user's context.
  • Rank results by relevance and feasibility to guide next steps in a proof.

Quick Start

Provide a concise cross-domain technique suggestion for the user's current proof problem.

Frequently Asked Questions about theory-search

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I find cross-domain theorems for a mathematical proof problem?

Cross-domain theorem search requires providing your problem description, tried approaches, and constraints to receive a ranked list of candidate theorems with references and adaptation notes.

What mathematical domains are covered for cross-domain proof techniques?

Covered mathematical domains include spectral graph theory, functional analysis, optimization, information geometry, and topology, applicable when seeking known results or adaptable strategies.

Can I use this to find adaptation notes for applying a theorem to my specific proof context?

Yes, you can use this to find adaptation notes for applying theorems to your specific proof context by providing relevant constraints alongside your problem description.

What's the best way to locate known results from functional analysis for an optimization proof?

To locate known results from functional analysis for an optimization proof, provide your problem description and previously tried approaches to receive a ranked list of candidate techniques.

What details do I need to provide for a cross-domain theorem search?

You need to provide your problem description, previously tried approaches, and relevant constraints to get a ranked list of candidate theorems with references and adaptation notes.