Conscious AI hypothetical

Suppose we have a conscious computer program; a program which, when executed, is conscious. We save the memory states and IO from the program at every stage of its execution, and then replay each state, one by one, on a second computer, without actually executing the program. Is the second computer conscious too?

In other words, if a computer is conscious, does its consciousness derive from the instructions it executes, or from the series of states it transitions between?

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sense of selfhood, and the executive control system of the mind
Prove that animals have sense of selfhood. AND executive control system of the mind.