This exercise explores the differences between agent functions and agent programs.
1. Can there be more than one agent program that implements a given agent function? Give an example, or show why one is not possible.
2. Are there agent functions that cannot be implemented by any agent program?
3. Given a fixed machine architecture, does each agent program implement exactly one agent function?
4. Given an architecture with $n$ bits of storage, how many different possible agent programs are there?
5. Suppose we keep the agent program fixed but speed up the machine by a factor of two. Does that change the agent function?

This exercise explores the differences between agent functions and agent programs.
1. Can there be more than one agent program that implements a given agent function? Give an example, or show why one is not possible.
2. Are there agent functions that cannot be implemented by any agent program?
3. Given a fixed machine architecture, does each agent program implement exactly one agent function?
4. Given an architecture with $n$ bits of storage, how many different possible agent programs are there?
5. Suppose we keep the agent program fixed but speed up the machine by a factor of two. Does that change the agent function?





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