Equivalence for Turing Machines is Undecidable

Here we show that the EQ_TM problem is undecidable. Supposing that it were decidable, we show that the E_TM (emptiness) problem is decidable, but in reality it is not.

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

Youtube Live Streaming (Sundays) - subscribe for when these occur.

Social Media:
Facebook Page:   / easytheory  
Facebook group:   / easytheory  
Twitter:   / 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.