Assuming that a superintelligence will contain a program that includes all the programs that can be executed by a universal Turing machine on input potentially as complex as the state of the world

What is the notion of "includes" here? Edit: from pp 4-5:

This means that a superintelligent machine could simulate the behavior of an arbitrary Turing machine on arbitrary input, and hence for our purpose the superintelligent machine is a (possibly identical) super-set of the Turing machines. Indeed, quoting Turing, “a man provided with paper, pencil, and rubber, and subject to strict discipline, is in effect a universal machine”