An Automated Approach to the Collatz Conjecture

An Automated Approach to the Collatz Conjecture

Simons Institute via YouTube Direct link

Collatz conjecture

5 of 13

5 of 13

Collatz conjecture

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An Automated Approach to the Collatz Conjecture

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  1. 1 Intro
  2. 2 Automated deduction for mathematics
  3. 3 Proving termination Baader and Nipkow, 1998
  4. 4 Matrix interpretations Hofbauer and Waldmann, 2006
  5. 5 Collatz conjecture
  6. 6 String rewriting for Collatz Zantema, 2005
  7. 7 Mixed binary-ternary representation
  8. 8 Alternative rewriting system for Collatz
  9. 9 Nontrivial test: Farkas' map [Farkas, 2005]
  10. 10 Partial solution
  11. 11 Collatz trajectories modulo 8
  12. 12 More problems
  13. 13 Closing remarks

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