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Acceptance for Turing Machines is Undecidable, but Recognizable

Here we show that the A_TM problem is undecidable and recognizable, which is asking if there is a decider for whether an arbitrary Turing Machine accepts an arbitrary input. The proof is by contradiction and diagonalization. What is a Turing Machine? It is a state machine that has a set of states, input, tape alphabet, a start state, exactly one accept state, and exactly one reject state. See    • Turing Machines - what are they? + Fo...   for more details. Easy Theory Website: https://www.easytheory.org Become a member:    / @easytheory   Donation (appears on streams): https://streamlabs.com/easytheory1/tip Paypal: https://paypal.me/easytheory Patreon:   / easytheory   Discord:   / discord   #easytheory Merch: Language Hierarchy Apparel: https://teespring.com/language-hierar... Pumping Lemma Apparel: https://teespring.com/pumping-lemma-f... If you like this content, please consider subscribing to my channel:    / @easytheory   Gold Supporters: Micah Wood Silver Supporters: Timmy Gy ▶SEND ME THEORY QUESTIONS◀ [email protected] ▶ABOUT ME◀ 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.