Church-Turing Thesis Explained 🤖

Here we show that the "Church-Turing thesis" is true, which essentially says that our "intuitive" notion of an algorithm is equivalent to a Turing Machine. We show this by showing that all parts of "modern" algorithms can be done by a Turing machine, namely addition, subtraction, multiplication, division, and exponentiation. All "modern" algorithms are a finite combination of any of these operators working with binary numbers.

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I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.