Automated theorem proving | Formal methods
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major impetus for the development of computer science. (Wikipedia).
Step-By-Step Guide to Proofs | Ex: product of two evens is even
How do you prove a mathematical claim? This video provides a step-by-step process to help you prove simple, direct proofs. We begin with the assumption, apply the definition, do some manipulations, apply the definition of the conclusion, and finish at the conclusion. We will investigate
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Extended Fundamental Theorem of Calculus
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples
From playlist Calculus
Abstract Algebra | The Second Isomorphism Theorem for Rings
We state and prove the second isomorphism theorem for rings. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Introduction to Direct Proofs: If n is even, then n squared is even
This video introduces the mathematical proof method of direct proof provides an example of a direct proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Basic Methods: We define theorems and describe how to formally construct a proof. We note further rules of inference and show how the logical equivalence of reductio ad absurdum allows proof by contradiction.
From playlist Math Major Basics
Introduction to Indirect Proof
This video introduces indirect proof and proves one basic algebraic and one basic geometric indirect proof. Complete Video List: http://mathispower4u.yolasite.com/
From playlist Relationships with Triangles
Sam Sanders (joint with Dag Normann): Uniformity in mathematics
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: The 19th century saw a systematic (pre-set theory) development of real analysis in which many theorems were proved using compactness. In the work of Dini, Pincherle, and
From playlist Workshop: "Proofs and Computation"
John Harrison - Formalization and Automated Reasoning: A Personal and Historical Perspective
Recorded 13 February 2023. John Harrison of Amazon Web Services presents "Formalization and Automated Reasoning: A Personal and Historical Perspective" at IPAM's Machine Assisted Proofs Workshop. Abstract: In this talk I will try to first place the recent interest in machine-assisted proof
From playlist 2023 Machine Assisted Proofs Workshop
History of Science and Technology Q&A (June 1, 2022)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
After Math: Reasoning, Proving, and Computing in the Postwar United States - Stephanie Dick
More videos on http://video.ias.edu
From playlist Historical Studies
Josef Urban - Some News from the Semantic AI Paradise
The talk will make a (doomed?) attempt to convince the physicists in the audience that machine-based logic and proof combined with machine-based learning is a creeping revolution in science threatening their job security. In principle, I would like to ground it in at least some examples an
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
Séminaire Bourbaki - 21/06/2014 - 3/4 - Thomas C. HALES
Developments in formal proofs A for mal proof is a proof that can be read and verified by computer, directly from the fundamental rules of logic and the foundational axioms of mathematics. The technology behind for mal proofs has been under development for decades and grew out of efforts i
From playlist Bourbaki - 21 juin 2014
Automated Theorem Proving and Axiomatic Mathematics
Jonathan Gorard
From playlist Wolfram Technology Conference 2019
How to Prove a Function is Injective(one-to-one) Using the Definition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to prove a function is injective. Injective functions are also called one-to-one functions. This is a short video focusing on the proof.
From playlist Proofs
Leonardo de Moura - The Lean proof assistant: introduction and challenges - IPAM at UCLA
Recorded 14 February 2023. Leonardo de Moura of Microsoft Research presents "The Lean proof assistant: introduction and challenges" at IPAM's Machine Assisted Proofs Workshop. Abstract: Lean is the proof assistant of choice for the mathematics community. It is also an efficient programming
From playlist 2023 Machine Assisted Proofs Workshop
Petra Hozzova - Automation of Induction in Saturation - IPAM at UCLA
Recorded 17 February 2023. Petra Hozzova of Technische Universität Wien, Institute of Logic and Computation, presents "Automation of Induction in Saturation" at IPAM's Machine Assisted Proofs Workshop. Abstract: Induction in saturation-based first-order theorem proving is a new exciting di
From playlist 2023 Machine Assisted Proofs Workshop
What We've Learned from NKS Chapter 12: The Principle of Computational Equivalence [Part 2]
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]
This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the
From playlist Wolfram Physics Project Livestream Archive
The alternating series. Solved problems. Estimating error and partial sum estimation for a set maximum error.
From playlist Advanced Calculus / Multivariable Calculus