Tata Institute of Fundamental Research

Busy Beavers and Numbers Left Untouch‚Äčed

Student Seminar
Speaker: Suhail Sherif
Organiser: Suhail Sherif
Date: Friday, 10 Oct 2014, 14:00 to 15:30
Venue: D-405 (D-Block Seminar Room)

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Abstract:  Abstract: In the first half of this talk, I will talk about the halting problem and show that there are well defined functions f:N->N that no computable function can dominate. In the second half, I will introduce Kolmogorov complexity and present Chaitin's Incompleteness theorem. If time permits, I will also show a proof of Goodstein's theorem.