Unsolved problems in computer science | Conjectures

List of unsolved problems in computer science

This article is a list of notable unsolved problems in computer science. A problem in computer science is considered unsolved when no solution is known, or when experts in the field disagree about proposed solutions. (Wikipedia).

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Turing Machines and The Halting Problem (Part 2)

The Halting Problem has fascinated thousands of computer scientists from around the world. A major part of Computing Logic, the proof of the halting problem proves that computers can't do everything. Check out the video to learn more about why computers work the way they do! For Turing Ma

From playlist Math

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What Computers Can't Do - with Kevin Buzzard

Kevin Buzzard explains one of the biggest unsolved problems in theoretical computer science - the P vs NP problem. Watch the Q&A here: https://youtu.be/A6J9p4iOr3A Subscribe for regular science videos: http://bit.ly/RiSubscRibe Today’s computers are lightning-fast. But sometimes we want

From playlist Computing/Tech/Engineering

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AlterConf Berlin 2017: The Hardest Problems in Computer Science by Anjana Vakil

AlterConf Berlin 2017: The Hardest Problems in Computer Science by Anjana Vakil They say there are two hard problems in computer science: cache invalidation, naming, and off-by-one errors. In this talk, we'll consider these problems in the context of diversity and inclusion in the CS/tech

From playlist AlterConf Berlin 2017

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P vs. NP - The Biggest Unsolved Problem in Computer Science

Get a free audiobook and a 30-day trial of Audible (and support this channel) at http://www.audible.com/upandatom or text "upandatom" to 500 500 on your phone. Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) https://www.patreon.com/upandat

From playlist Computer Science

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The "P vs. NP" Problem: Efficient Computation....Knowledge" - Avi Wigderson

Avi Wigderson Institute for Advanced Study October 24, 2008 The "P vs. NP" problem is a central outstanding problem of computer science and mathematics. In this talk, Professor Wigderson attempts to describe its technical, scientific, and philosophical content, its status, and the implic

From playlist Mathematics

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P vs. NP by Sammy Mehra

Introduction to the most famous unsolved problem in Computer Science. Introduction to Turing Machines, runtime of algorithms, and the classes P and NP. What would the universe look like if P=NP. History of the problem, and attempts to solve the problem. Example adapted from https://en.wiki

From playlist CS50 Seminars 2016

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Elementary open problems in Algebra (with consequences in computational complexity) - Avi Wigderson

Computer Science/Discrete Mathematics Seminar II Topic: Elementary open problems in Algebra (with consequences in computational complexity) Speaker: Avi Wigderson Affiliation: Member, School of Mathematics Date: October 2, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Uncomputable problems: Theory of Computation (Apr 30, 2021)

This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Download class notes from class website. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s3342/

From playlist Math 3342 (Theory of Computation) Spring 2021

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Turing Machines & The Halting Problem (Part 1)

In the year 1900, David Hilbert gave a list of 23 mathematics problems for the mathematicians of the new generation. His tenth problem proved to be an enigma for many years until Alan Turing solved it while simultaneously creating the modern computer. Watch the video to see how Alan Turi

From playlist Math

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The P versus NP problem - Efficient computation and the limits of human knowledge - AVI Wigderson

Speaker : Avi Wigderson ( IAS, Princeton ) Date and Time : 27 Dec 2009, 05:30 PM Venue : J. N. Tata Auditorium, IISc, Bangalore The P vs. NP problem is a central outstanding problem of computer science and mathematics. In this talk I will attempt to describe its technical, scientific and

From playlist Public Lectures

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Results and open problems in theory of quantum complexity - Anindya De

Andris Ambainis University of Latvia; Member, School of Mathematics April 22, 2014 I will survey recent results and open problems in several areas of quantum complexity theory, with emphasis on open problems which can be phrased in terms of classical complexity theory or mathematics but ha

From playlist Mathematics

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The Four Color Map Theorem - Numberphile

The Four Color Map Theorem (or colour!?) was a long-standing problem until it was cracked in 1976 using a "new" method... computers! A little bit of extra footage from this: https://youtu.be/laMkuPrad3s This video features Dr James Grime - http://jamesgrime.com More Grime videos: http://

From playlist Graph Theory on Numberphile

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When to Chillax (According to Computer Science)

Sign up to brilliant.org to receive a 20% discount with this link! https://brilliant.org/upandatom The Computer Science Algorithm Technique of Relaxation. Algorithms to Live By - Brian Christian and Tom Griffiths https://www.amazon.com/Algorithms-Live-Computer-Science-Decisions/dp/1627

From playlist Computer Science

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IMS Public Lecture - Can Every Mathematical Problem Be Solved?

Menachem Magidor, The Hebrew University of Jerusalem, Israel

From playlist Public Lectures

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Computation Ep33, The Halting Problem (Apr 27, 2022)

This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi

From playlist Math 3342 (Theory of Computation) Spring 2022

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The Ramanujan Conjecture and some diophantine equations - Peter Sarnak

Speaker : Peter Sarnak Date and Time : Faculty Hall, IISc, Bangalore Venue : 25 May 12, 16:00 One of Ramanujan's most influential conjectures concerns the magnitude of the Fourier Coefficients of a modular form. These were made on the basis of his calculations as well as a far-reaching in

From playlist Public Lectures

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What Makes P vs. NP So Hard? (P ≠ EXPTIME, Time Hierarchy, Baker-Gill-Solovay)

There are a lot of unsolved problems in complexity theory, but there are a few things we do know. We look at the Time Hierarchy Theorem, and also why the proof techniques don't transfer to P vs NP. Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen, Zachary Greenber

From playlist P vs NP

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Unpredictability, Undecidability, and Uncomputability

Quite a number of mathematical theorems prove that the power of mathematics has its limits. But how relevant are these theorems for science? In this video I want to briefly summarize an essay that I just submitted to the essay contest of the Foundational Questions Institute. This year the

From playlist Philosophy of Science

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Computation Ep1, Historical intro (Jan 18, 2022)

This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi

From playlist Math 3342 (Theory of Computation) Spring 2022

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Integer factorization | P = BPP problem | Randomized algorithm | NL (complexity) | 3SUM | Typed lambda calculus | Ambiguity | NP = co-NP problem | Rewriting | Log-rank conjecture | Minimum spanning tree | Lattice problem | Separating words problem | Aanderaa–Karp–Rosenberg conjecture | Synchronizing word | X + Y sorting | Polynomial identity testing | Edit distance | Generalized star-height problem | Gerhard J. Woeginger | NC (complexity) | Leaf power | One-way function | Shellsort | Exponential time hypothesis | Polynomial hierarchy | Smale's problems | Clique-width | Discrete logarithm | Rotation distance | Unique games conjecture | Schwartz–Zippel lemma | Splay tree | Parity game | Fast Fourier transform | NP (complexity) | Shortest path problem | Time complexity | Graph isomorphism problem | Theorem of the three geodesics | P versus NP problem | BQP | Computational complexity of matrix multiplication | RL (complexity) | NC = P problem | Trémaux tree | Public-key cryptography | Binary tree | K-server problem | Linear programming | Envy-free cake-cutting | Barendregt–Geuvers–Klop conjecture | P = PSPACE problem