I'm creating a stack oriented virtual machine, and so I started learning Forth for a general understanding about how it would work. Then I shortlisted the essential stack manipulation operations I would need to implement in my virtual machine:
drop ( a -- ) dup ( a -- a a ) swap ( a b -- b a ) rot ( a b c -- b c a )
I believe that the following four stack manipulation operations can be used to simulate any other stack manipulation operation. For example:
nip ( a b -- b ) swap drop -rot ( a b c -- c a b ) rot rot tuck ( a b -- b a b ) dup -rot over ( a b -- a b a ) swap tuck
That being said however I wanted to know whether I have listed all the fundamental stack manipulation operations necessary to manipulate the stack in any possible way.
Are there any more fundamental stack manipulation operations I would need to implement, without which my virtual machine wouldn't be Turing complete?