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AI Engineering
MIT Technology Review·Jun 23·5 min read
Super Mario is mathier than you think
TL;DR
Determining whether Mario can rescue his kidnapped love is a complex problem, akin to breaking financial encryption. Researchers from the MIT Hardness Group explored this through theoretical computer science methods.
✦ Why It Matters
Engineers can leverage insights from computational hardness to better assess problem-solving strategies in their projects.
Key Takeaways
- Investigate how undecidable problems affect your software development.
- Consider using gadget theory in your algorithm design.
- Explore the implications of complexity theory in robotics.
- Utilize fan-made tools for creative problem-solving in programming.
How It Works
The researchers used a method called reduction to demonstrate that certain Super Mario levels can simulate complex logical operations. They created 'gadgets' that represent true or false states, allowing them to prove that these levels can model any computation.
For instance, a counter gadget tracks the number of obstacles, simulating a universal computer capable of solving any computable problem.