VIP 👤
🏠 Home
Benchmark Hub
📊 All Benchmarks 🦖 Dinosaur v1 🦖 Dinosaur v2 ✅ To-Do List Applications 🎨 Creative Free Pages 🎯 FSACB - Ultimate Showcase 🌍 Translation Benchmark
Models
🏆 Top 10 Models 🆓 Free Models 📋 All Models ⚙️ Kilo Code
Resources
💬 Prompts Library 📖 AI Glossary 🔗 Useful Links 🔌 API & Routers
Advanced

Prove the Halting Problem

#undecidability #logic #proof

Construct a proof by contradiction demonstrating the undecidability of the Halting Problem.

Assume a hypothetical Turing machine H exists that can decide if any other machine halts on a given input. Construct a machine D that does the opposite of H when H is fed its own description. Explain the contradiction that arises when D runs on itself.