I want to build a Brainfuck (Damn that name) interpreter in my freshly created programming language to prove it\'s turing-completeness.
Now, everything is clear so far (
How do I implement the BF loops in my interpreter?
That’s the point – it entirely depends on your language. For the case of a stack-based programming language (or any language which can use a stack), @rjh has given a good solution. Other languages would use different solutions, such as recursion (i.e. implicit use of a stack).