Show that a Turing machine can simulate an abstract computer model, provided that elementary instructions of this computer model can themselves be simulated by a Turing machine.

 To show that a Turing machine can simulate an abstract computer model, we need to demonstrate how a Turing machine can execute the instructions of the abstract computer model. Here, we assume that the elementary instructions of the abstract computer model can themselves be simulated by a Turing machine.

Let's suppose we have an abstract computer model that has the following characteristics:

1. It has a finite set of states.

2. It has a tape that can store data.

3. It has a set of instructions that tell the computer what to do with the data on the tape.

4. It can read and write data to the tape.

To simulate this computer model using a Turing machine, we need to do the following:

1. The states of the abstract computer model can be represented by the states of the Turing machine.

2. The tape of the abstract computer model can be represented by the tape of the Turing machine.

3. The instructions of the abstract computer model can be represented by a set of rules that the Turing machine follows. Each rule tells the Turing machine what to do when it is in a certain state and reads a certain symbol from the tape.

4. The read and write operations of the abstract computer model can be simulated by the Turing machine by moving the head of the Turing machine left or right on the tape and writing a new symbol.

In this way, the Turing machine can simulate the abstract computer model, executing its instructions one by one, reading and writing data to the tape, and transitioning between states. Since we assume that the elementary instructions of the abstract computer model can themselves be simulated by a Turing machine, it follows that the Turing machine can execute any computation that the abstract computer model can perform.