Download Moogle – AI-Powered Semantic Theorem Search

Overview

Moogle is an advanced artificial‑intelligence driven search engine that targets the mathlib4 repository—a rapidly growing collection of formalized mathematics written in Lean 4. Unlike conventional keyword‑based search tools that merely match literal strings, Moogle leverages cutting‑edge semantic search algorithms to understand the meaning behind mathematical statements. This enables users—researchers, students, and developers—to locate the exact theorem they need in a fraction of the time it would take to manually skim through dozens of files. The platform is fully web‑based, so every search runs on the latest indexed version of the repository, guaranteeing up‑to‑date results without any local installation overhead. Its clean, responsive interface presents results with clear metadata, such as theorem name, dependencies, and source location, allowing users to jump directly to the relevant Lean file. By reducing the friction of theorem discovery, Moogle accelerates proof development, supports learning, and ultimately fosters a more collaborative mathematical community.

Key Features of Moogle

• Semantic Understanding: Utilises vector embeddings of Lean expressions to match queries based on mathematical meaning rather than exact text.
• Instant Results: Queries are processed in real time, delivering ranked theorem lists within seconds even for complex multi‑parameter searches.
• Rich Metadata Display: Each result shows theorem name, statement, dependencies, file path, and a direct link to the source code on GitHub.
• Faceted Filtering: Users can narrow results by namespace, file size, proof status (proved/unproved), and version of mathlib4.
• Cross‑Platform Web App: Runs in any modern browser on Windows, macOS, Linux, Android, and iOS without additional plugins.
• Auto‑Complete & Suggestions: As you type, Moogle proposes relevant symbols and theorem names, reducing typing effort and preventing misspellings.
• Secure, Private Searching: Queries are processed on secure HTTPS servers; no personal data is stored, and search logs are anonymised.
• Regular Updates: The index is refreshed weekly to include the newest theorems and community contributions from the mathlib4 repository.

These capabilities combine to make Moogle more than just a search bar; it is a discovery engine that adapts to the way mathematicians think. By interpreting the structure of Lean expressions, the tool can surface theorems that a plain text search would miss, such as those that use synonyms or alternative variable names. The result is a higher precision/recall balance that saves hours of manual digging. Whether you are proving a new lemma, teaching a class on formal verification, or simply exploring the landscape of modern mathematics, Moogle’s feature set equips you with the right information at the right moment.

Installation & Usage Instructions

Because Moogle is a web‑based application, there is no traditional “install” step in the classic sense. Getting started is as simple as navigating to the official website, creating a free account (optional but useful for saving search history), and beginning to type your query. For users who prefer a local development environment, a Docker image is available that mirrors the production service; this is handy for offline research or for integrating Moogle’s API into custom tooling.

Step‑by‑Step Guide for First‑Time Users

1. Open your browser: Moogle works on Chrome, Firefox, Edge, Safari, and most mobile browsers.
2. Visit the homepage: Go to https://moogle.mathlib4.org.
3. Create an account (optional): Click “Sign Up” to store preferences, saved searches, and to receive update notifications.
4. Enter a query: Begin typing a theorem name, a concept, or even a partially written Lean expression. Moogle’s auto‑complete will suggest possible completions.
5. Refine results: Use the filter pane on the left to limit results by namespace, proof status, or file location.
6. Explore a theorem: Click on a result to view its statement, dependencies, and a direct link to the source file on GitHub. You can copy the Lean code snippet with a single click.
7. Integrate via API (advanced): For automation, obtain an API token from your account settings and use the REST endpoint GET https://api.moogle.mathlib4.org/v1/search?q=... to embed search capabilities into IDE extensions or CI pipelines.

The optional Docker deployment follows these steps:

1. Install Docker Desktop (available for Windows, macOS, and Linux).
2. Pull the image: docker pull moogle/mathlib4-search:latest.
3. Run the container: docker run -p 8080:80 moogle/mathlib4-search.
4. Open http://localhost:8080 in your browser and use Moogle as described above.

Whether you choose the hosted service or a local container, Moogle’s usage experience remains consistent—fast, intuitive, and secure.

Compatibility

Moogle is a cross‑platform web application. It runs on any operating system that supports modern browsers, including Windows 10/11, macOS Ventura and later, Linux distributions with a graphical environment, Android 8.0+, and iOS 13+. The optional Docker image adds compatibility for server‑side deployments on any OS that can run Docker.

Pros and Cons

Advantages

• Semantic search dramatically improves relevance over traditional keyword matches.
• Zero‑install web interface – accessible from any device.
• Weekly index updates keep the theorem database current.
• Rich result metadata helps users quickly assess theorem applicability.
• Free tier provides unlimited searches; premium plan adds private indexing.
• Open API enables integration with editors like VS Code and Emacs.

Drawbacks

• Performance depends on internet connectivity; offline use requires Docker.
• Current focus is on mathlib4; other Lean libraries are not indexed yet.
• Advanced filtering UI may have a learning curve for complete beginners.
• Free tier does not include priority support or custom indexing.

Conclusion & Call to Action

In the rapidly evolving world of formalized mathematics, the ability to locate the right theorem quickly can be the difference between a breakthrough and a dead‑end. Moogle delivers exactly that—a fast, semantic, and user‑friendly search experience that bridges the gap between human intuition and machine precision. Its web‑first design means you can start searching instantly, while the optional Docker image offers the flexibility of an offline, self‑hosted instance for those with stricter security requirements.

By combining sophisticated AI techniques with a clean UI and robust documentation, Moogle positions itself as the go‑to tool for anyone working with Lean 4 and the mathlib4 ecosystem. Whether you are a graduate student preparing a dissertation, a researcher exploring new algebraic structures, or a developer building proof‑automation pipelines, the time saved with Moogle translates directly into more productive research and faster results.

Ready to supercharge your theorem discovery? Download Moogle now and experience the future of semantic search in formal mathematics. For teams needing enhanced capabilities, consider the premium plan to unlock private indexing and dedicated support. Happy searching!