I found the following problem on K. Rustan M. Leino’s puzzles page:
[Carroll Morgan told me this puzzle.]
Prove that for any positive K, every Kth number in the Fibonacci sequence is a multiple of the Kth number in the Fibonacci sequence.
More formally, for any natural number n, let F(n) denote Fibonacci number n. That is, F(0) [...]
A recent article written by Dr. Robert B.K. Dewar and Dr. Edmond Schonberg (both from AdaCore Inc.) is generating some discussion on the state of Computer Science (CS) education in the United States. In “Computer Science Education: Where Are the Software Engineers of Tomorrow?“, Dewar and Schonberg claim that U.S. universities are training unqualified and [...]
In the last post I have presented some historical context about programming and mathematical methodology. If you read it, then you should have an idea when and why programmers started to investigate on mathematical methodology. However, I haven’t mentioned any aspects of mathematical methodology that can help us to improve our programming or mathematical skills.
In [...]
First of all, welcome to my new blog. Being this my first post, I will present myself, give you some background on what I am doing and explain what are my intentions about this blog. My name is João Fernando Ferreira and I am a research student at the Foundations of Programming research group at [...]
Algorithms blog calculational check combinatorics correction distributivity domain Education fibonacci grid irrationality joaoff.com knuth Links Mathematics Methodology Opinion Perl Personal Programming proof proofs puzzles research university
