Why chose brainfunck ?

Why not a common "if branch return" operation language as many designs ?

Because Becker and Gottschlich does " AI Programmer: Autonomously Creating Software Programs Using Genetic Algorithms ", [https://arxiv.org/abs/1709.05703] using brainfuck. More information in [http://brainfuck.org/]

And Mazonka and Christofani, made a complete brainfuck interpreter written in brainfuck. https://github.com/maksimKorzh/dbfi/blob/master/self-interpreter-paper.pdf

Some brainfuck tutorial and more, some algorithms.