Final answer:
The correct answer is option all of them. The correct response is that all of the mentioned models are equivalent to a Turing machine regarding their expressive power which includes both non-deterministic and multi-tape Turing machines.
Step-by-step explanation:
A Turing machine is a theoretical model of computation that defines what can be computed given unlimited time and storage space. A Turing machine with a single, two-sided infinite tape is traditionally how the model is presented, but variations such as a non-deterministic Turing machine and a multi-tape Turing machine have been shown to be equivalent in terms of computational power. This means they can simulate each other and solve the same class of problems. The classic result in computational theory is that all of these models can simulate a standard Turing machine and vice versa, demonstrating that all variations have the same expressive power.
All of the models listed - a single two-sided infinite tape, a non-deterministic Turing machine, and a multi-tape Turing machine - are equivalent to a Turing machine in terms of their expressive power.
A Turing machine is a theoretical computational model that can simulate any algorithmic process. It consists of an infinite tape divided into cells, a read/write head that can move along the tape, and a set of states representing the machine's control. All of the listed models share these basic components and can perform equivalent computations.