Answer
See the explanation
Work Step by Step
To demonstrate that the modified Bare Bones language with labeled instructions and a conditional branch represented by "if name not 0: goto label1" maintains universality, we need to show that it can simulate a Turing machine.
1. **Memory Representation**: Bare Bones already has memory represented by variables, and the modification doesn't change this aspect.
2. **Conditional Branching**: The addition of conditional branching with the "if name not 0: goto label1" statement allows for decision-making within the program, enabling it to perform different actions based on the value of a variable.
3. **Looping**: While the original Bare Bones language utilized the "while" loop structure, the modification replaces it with conditional branching, which can achieve the same effect. By using conditional branching, the program can loop over sections of code based on the value of a variable.
4. **Labeling Instructions**: Introducing labeled instructions provides the ability to reference specific points in the program, enabling more complex control flow.
By combining these elements, the modified Bare Bones language can simulate a Turing machine, as it can perform all the necessary operations required for computation: memory manipulation, conditional branching, and looping. Therefore, the modified language remains a universal programming language.
