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Lecture 8: Undecidability

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Lecture 9: Reducibility

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Description: Quickly reviewed last lecture. Showed that \(\mathbb{N}\) and \(\mathbb{R}\) are not the same size to introduce the diagonalization method and used it to prove \(A_\bf{TM}\) is undecidable. Introduced the reducibility method to show that \(HALT_\bf{TM}\) is undecidable.

Instructor: Prof. Michael Sipser