JavaScriptが無効です。ブラウザの設定でJavaScriptを有効にしてください
再生時間:
投稿日:
動画サイト:
画質:
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube ...
YouTube-MIT OpenCourseWare
Introduction
Space Complexity Classes
Space Complexity: Number of States
Polynomial Time Reduction
How do we know that CoP is a complete class of problems?
Quantified Boolean Formulas (QBFs)
Why is SAT in PSPACE?
CONP completeness
Ladder Notation
Complement of a language in PSPACE
Here we introduce the notion of polynomial space and PSPACE-completeness, which is the same as NP-completeness except the language has to be ...
YouTube-Easy Theory
Space Complexity Measures
PSPACE-Completeness Review
Recursive Solutions
Clarifying Questions
Each Recursive Level Stores One Configuration
F(n) - Number of States
Why Polynomial Time Reductibility?
Proof of PSPACE-Completeness
Semantics of PSPACE-Completeness
Exercise Solution
Share your videos with friends, family, and the world.
YouTube-Learn IT easy with Mehbooba
Space complexity for a non-deterministic turing machine
DSPACE and NSPACE
Pspace & Nspace
What is NSPACE?
Summary
What is Decidability?
Classes
Space Complexity of Star Problem
Why are P and NP subset of PSPACE?
MIT 6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs, Fall 2014 View the complete course: http://ocw.mit.edu/6-890F14 Instructor: ...
Boulder Dash First Star Software, 1984
Boulder Dash is NP-hard Viglietta 2012
Zelda II is NP-hard
Pac-Man is NP-hard
Quake [id Software 1996]
Prince of Persia Brederbund 1989
Textbooks: Computational Complexity: A Modern Approach by S. Arora and B. Barak. Algorithm Design by J. Kleinberg and E. Tardos.
YouTube-Computer Science Theory Explained
What is space?
P is contained in PSPACE
Example of a turing machine
Satisfability in Polynomial Space
Enumeration example
Evaluating the formula
The n-bit odometer
All of NP is in PSPACE
Why NP is in PSPACE
How to decide if a word is in a language
A discussion of the basic bounds on relating time and space complexity classes. Savitch's theorem and why PSPACE = NPSPACE.
YouTube-C. Seshadhri
L and NL spaces
Space-bounded machine: vertex set
Configuration graph
NP is in PSPACE
What is Savitch's theorem?
Logical formulation
Recursion Depth
Recurrence for SP(i)
Running time analysis
Conclusion
00:00 - Introduction 00:54 - Formula-Game is PSPACE Complete 12:40 - Generalised-Geography is PSPACE Complete 21:45 - Generalised Games.
YouTube-NPTEL-NOC IITM
Formula-Game is PSPACE Complete
Generalised-Geography is PSPACE Complete
Generalised Games
General strategy for showing PSPACE-completeness
Competitive Facility Location can be solved in polynomial space
Reduction of Competitive Facility Location to QSAT
Reduction to QSAT
Graph construction
Optimal strategy
Competitive Facility Location: Objective Function
Variable assignment tree
Evaluating the tree
Computing QSAT in polynomial space
Undergraduate Computational Complexity Theory Lecture 25: Interactive Proofs: IP=PSPACE Carnegie Mellon Course 15-455, ...
YouTube-Ryan O'Donnell
Interactive Proofs
Proof systems
Basic properties of a proof system
Is this problem in P?
Basic Facts about IP
Best Prover Strategy
Simplest language in PSPACE
3-CNF proof sketch
Conversation between verifier and proofer
Degree 3M polynomials
Definition of PSPACE-complete
Examples of PSPACE-complete problems
Extime
Polynomial spaces
Computing the number of configurations
What happens if the same configuration is encountered twice?
Space Complexity, PSPACE, L, NL · Comments9. thumbnail-image. Add a comment ...
YouTube-Unacademy Computer Science
Complexity Chain
What is L Space?
What is PSPACE and Logarithmic Space
Polynomial Space (PSPACE)
Examples of PSPACE
In which we show the proof that TQBF is PSPACE-complete, and prove the space hierarchy theorem. Hit the bell next to Subscribe so you ...
YouTube-Ryan Dougherty
PSPACE-completeness
TQBF: Totally Quantified Boolean Formula
Quantified boolean formulas
Sketch of proof that TQBF is PSPACE-hard
Space Hierarchy Theorem
Computing f(n)
Computational complexity: Prove IP is subset of PSPACE 0:00 start 6:00 Prove IP is subset of PSPACE More computational complexity theory: ...
YouTube-Math Geeks
start
Prove IP is subset of PSPACE
Basic Complexity class: P, NP, PSPACE, and EXP 0:00 start 1:00 definition of P 4:56 definition of NP 9:50 definition of PSPACE 10:30 prove P ...
definition of P
definition of NP
definition of PSPACE
prove P is a subset of NP
definition of EXP
prove that PSPACE is a subset of EXP
introduce TQBF and prove it is PSPACE
Exploring a significant breakthrough in theoretical quantum information research, "QIP=PSPACE," featuring researcher John Watrous of the ...
YouTube-Institute for Quantum Computing
YouTube-tudor pc
Chapter outline
Space as a computational resource
Definition of PSPACE
PSPACE and other classes of problems
Implementation in Polynomial Space
A PSPACE construction of a hitting set for the closure of small algebraic circuits - Amir Shpilka. 623 views · 6 years ago ...more. Institute ...
YouTube-Institute for Advanced Study
Lecture Note: https://drive.google.com/file/d/1WuYbiGXTxMkgATWsBpi5WmSSgrwJJEFw/view?usp=drive_link Title: "Exploring PSPACE and Quantified ...
YouTube-EduSyl