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Multi-Tape Turing Machines

Here we examine the Turing Machine variant where we are allowed to have any fixed number of tapes k at least 1. This seems more powerful than the standard model, as each of the tapes can move in any direction, and is fully independent (in a certain sense) of the other tapes. We show that this model is in fact equivalent to the standard model by putting all k tapes onto one with delimiters separating them. We then look at the details of how to carry out the simulation, and realize that there is a LOT of work to be done (number of states, new tape characters, etc.). But all of the work is finite, and can be done algorithmically. 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   Youtube Live Streaming (Sundays) - subscribe for when these occur. 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.