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... for more details.
Easy Theory Website: www.easytheory...
Become a member: / @easytheory
Donation (appears on streams): streamlabs.com...
Paypal: paypal.me/easy...
Patreon: / easytheory
Discord: / discord
#easytheory
Merch:
Language Hierarchy Apparel: teespring.com/...
Pumping Lemma Apparel: teespring.com/...
If you like this content, please consider subscribing to my channel: / @easytheory
Gold Supporters: Micah Wood
Silver Supporters: Timmy Gy
▶SEND ME THEORY QUESTIONS◀
ryan.e.dougherty@icloud.com
▶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.
4 окт 2024