Understanding 'Space' in Complexity Theory: A Simple Guide 🚀

Here we introduce the concept of "space", in that it is the amount of cells a Turing Machine uses on inputs. This is somewhat different than the amount of time used, since cells on the tape can be reused, whereas time can never be (since that is the # of transitions). We also show that SAT (the satisfiability problem) is in linear space: SPACE(n).

Easy Theory Website: https://www.easytheory.org
Become a member: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg/join
Donation (appears on streams): https://streamlabs.com/easytheory1/tip
Paypal: https://paypal.me/easytheory
Patreon: https://www.patreon.com/easytheory
Discord: https://discord.gg/SD4U3hs

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

Merch:
Language Hierarchy Apparel: https://teespring.com/language-hierarchy?pid=2&cid=2122
Pumping Lemma Apparel: https://teespring.com/pumping-lemma-for-regular-lang

If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1

▶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.