In computational complexity theory, a decision problem is PSPACE-complete if it can be solved using an amount of memory that is polynomial in the input length (polynomial space) and if every other problem that can be solved in polynomial space can be transformed to it in polynomial time. The problems that are PSPACE-complete can be thought of as the hardest problems in PSPACE, the class of decision problems solvable in polynomial space, because a solution to any one such problem could easily be used to solve any other problem in PSPACE. Problems known to be PSPACE-complete include determining properties of regular expressions and context-sensitive grammars, determining the truth of quantified Boolean formulas, step-by-step changes between solutions of combinatorial optimization problems, and many puzzles and games. (Wikipedia).
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this
From playlist Set Theory
Every Compact Set in n space is Bounded
Every Compact Set in n space is Bounded If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Advanced Calculus
This video is about topological spaces and some of their basic properties.
From playlist Basics: Topology
Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
Do you understand the universe?
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From playlist Science Unplugged: Big Ideas
Complexity Theory, Quantified Boolean Formula
Theory of Computation 15. Complexity Theory, Quantified Boolean Formula ADUni
From playlist [Shai Simonson]Theory of Computation
Add whitespace to a module list
In this video we add some whitespace with a text header to a module list in canvas. You can find other quick Canvas video here: https://youtube.com/playlist?list=PLntYGYK-wJE35yu2HuK4xHU6Jfu0f9X5n
From playlist Canvas
Open and closed sets -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Circuit Lower Bounds for Nondeterministic Quasi-Polytime... - Cody Murray
Computer Science/Discrete Mathematics Seminar I Topic: Circuit Lower Bounds for Nondeterministic Quasi-Polytime: An Easy Witness Lemma for NP and NQP Speaker: Cody Murray Affiliation: Massachusetts Institute of Technology Date: March 26, 2018 For more videos, please visit http://video.ia
From playlist Mathematics
Halting Problem & Quantum Entanglement 2020 Breakthrough result [MIP*=RE]
This video explains the MIP*=RE result. We skip the proof details, just explain what the result means. Please leave comments in the comment section if something is unclear. The links mentioned in the video: 1) Proof that the halting problem can't be solved: https://youtu.be/92WHN-pAFCs
From playlist Animated Physics Simulations
Structure vs Randomness in Complexity Theory - Rahul Santhanam
Computer Science/Discrete Mathematics Seminar I Topic: Structure vs Randomness in Complexity Theory Speaker: Rahul Santhanam Affiliation: University of Oxford Date: April 20, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Theory of Computation 14. Decidability ADUni
From playlist [Shai Simonson]Theory of Computation
IP = PSPACE via error correcting codes - Or Meir
Or Meir Institute for Advanced Study; Member, School of Mathematics April 15, 2014 The IP theorem, which asserts that IP = PSPACE (Lund et. al., and Shamir, in J. ACM 39(4)), is one of the major achievements of complexity theory. The known proofs of the theorem are based on the arithmetiza
From playlist Mathematics
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From playlist Science Unplugged: Big Ideas
MIT 6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs, Fall 2014 View the complete course: http://ocw.mit.edu/6-890F14 Instructor: Erik Demaine In this lecture, Professor Demaine gives examples of real bounded games proved PSPACE-complete via constraint logic. License: Creative Co
From playlist MIT 6.890 Algorithmic Lower Bounds, Fall 2014
Ever wondered what a partial sum is? The simple answer is that a partial sum is actually just the sum of part of a sequence. You can find a partial sum for both finite sequences and infinite sequences. When we talk about the sum of a finite sequence in general, we’re talking about the sum
From playlist Popular Questions
MIT 6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs, Fall 2014 View the complete course: http://ocw.mit.edu/6-890F14 Instructor: Erik Demaine In this lecture, Professor Demaine proves the NP-hardess of various video games. License: Creative Commons BY-NC-SA More information at h
From playlist MIT 6.890 Algorithmic Lower Bounds, Fall 2014
A PSPACE construction of a hitting set for the closure of small algebraic circuits - Amir Shpilka
Computer Science/Discrete Mathematics Seminar II Topic: A PSPACE construction of a hitting set for the closure of small algebraic circuits Speaker: Amir Shpilka Affiliation: Tel Aviv University Date: December 12, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Proved Savitch’s Theorem: NSPACE(f(n))
From playlist MIT 18.404J Theory of Computation, Fall 2020
Maths for Programmers: Sets (The Universe & Complements)
We're busy people who learn to code, then practice by building projects for nonprofits. Learn Full-stack JavaScript, build a portfolio, and get great references with our open source community. Join our community at https://freecodecamp.com Follow us on twitter: https://twitter.com/freecod
From playlist Maths for Programmers