Solve this problem: "build an infinite binary oscilator"
With a Turing Machine we can solve it
a=False While True: a=not a print a,
then output will be
True False True False True False ...
I think an oracle can't do it, because its definition, it could solve in "one operation", but here there's not halting as a request of the problem statement. Is it true?
EDIT: Oracle definition from wikipedia
".. an oracle machine is an abstract machine used to study decision problems. It can be visualized as a Turing machine with a black box, called an oracle, which is able to decide certain decision problems in a single operation. The problem can be of any complexity class. Even undecidable problems, like the halting problem, can be used."
So what if that TM ask its black box oracle to create an infinite binary oscilation?
1- oracle black box can't do infinite loops 2-TM can't ask that problem to oracle 3- Does it return a string with a source code as answer? weird 4-or other options...