PSPACE & NPSPACE Simplified: Understand Space Complexity Classes Easily! π
Learn the fundamentals of space complexity classes like PSPACE and NPSPACE. This beginner-friendly video explains space-bounded computation concepts clearly and concisely.

CodeLucky
70 views β’ Jun 23, 2025

About this video
Dive into the world of space complexity classes! π This video breaks down PSPACE, NPSPACE, and space-bounded computation in an easy-to-understand way.
We start with the basics, defining space complexity and explaining how it measures the memory required by an algorithm. Learn about deterministic and non-deterministic Turing machines, and how they relate to PSPACE and NPSPACE.
Explore Savitch's Theorem and its surprising implication that PSPACE = NPSPACE. Discover the space hierarchy and understand the relationships between complexity classes like L, NL, P, NP, and PSPACE. π€―
Finally, we'll introduce you to PSPACE-complete problems such as Quantified Boolean Formula (QBF), Geography Game, and Generalized Chess/Go. Chess and Go are very common so it will be easier to understand. π‘ These are the hardest problems in PSPACE!
Whether you're a student, a developer, or just curious about computer science, this video will give you a solid foundation in space complexity. π¨βπ»π©βπ» #SpaceComplexity #PSPACE #NPSPACE #SavitchTheorem #TuringMachine #ComplexityTheory #ComputerScience #codelucky
Chapters:
00:00 - Space Complexity Classes
00:09 - Space Complexity
00:33 - PSPACE
00:59 - NPSPACE
01:24 - Savitch's Theorem
01:52 - PSPACE = NPSPACE
02:15 - Space Hierarchy
02:41 - PSPACE-Complete Problems
03:01 - Outro
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βΆοΈ YouTube: https://youtube.com/@thecodelucky
π± Instagram: https://instagram.com/thecodelucky
π Facebook: https://facebook.com/codeluckyfb
π Website: https://codelucky.com
β Support us by Liking, Subscribing, and Sharing!
π¬ Drop your questions in the comments below
π Hit the notification bell to never miss an update
#CodeLucky #WebDevelopment #Programming
We start with the basics, defining space complexity and explaining how it measures the memory required by an algorithm. Learn about deterministic and non-deterministic Turing machines, and how they relate to PSPACE and NPSPACE.
Explore Savitch's Theorem and its surprising implication that PSPACE = NPSPACE. Discover the space hierarchy and understand the relationships between complexity classes like L, NL, P, NP, and PSPACE. π€―
Finally, we'll introduce you to PSPACE-complete problems such as Quantified Boolean Formula (QBF), Geography Game, and Generalized Chess/Go. Chess and Go are very common so it will be easier to understand. π‘ These are the hardest problems in PSPACE!
Whether you're a student, a developer, or just curious about computer science, this video will give you a solid foundation in space complexity. π¨βπ»π©βπ» #SpaceComplexity #PSPACE #NPSPACE #SavitchTheorem #TuringMachine #ComplexityTheory #ComputerScience #codelucky
Chapters:
00:00 - Space Complexity Classes
00:09 - Space Complexity
00:33 - PSPACE
00:59 - NPSPACE
01:24 - Savitch's Theorem
01:52 - PSPACE = NPSPACE
02:15 - Space Hierarchy
02:41 - PSPACE-Complete Problems
03:01 - Outro
π Stay Connected:
βΆοΈ YouTube: https://youtube.com/@thecodelucky
π± Instagram: https://instagram.com/thecodelucky
π Facebook: https://facebook.com/codeluckyfb
π Website: https://codelucky.com
β Support us by Liking, Subscribing, and Sharing!
π¬ Drop your questions in the comments below
π Hit the notification bell to never miss an update
#CodeLucky #WebDevelopment #Programming
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Video Information
Views
70
Likes
2
Duration
3:17
Published
Jun 23, 2025