Automated theorem proving | Formal methods

Automated theorem proving

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).

Video thumbnail

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)

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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)

Video thumbnail

BM3. Formal Proofs

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

Video thumbnail

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

Video thumbnail

04 Our first proof

Proving a property of sets.

From playlist Abstract algebra

Video thumbnail

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"

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

3_6_3 Alternating Series

The alternating series. Solved problems. Estimating error and partial sum estimation for a set maximum error.

From playlist Advanced Calculus / Multivariable Calculus

Related pages

Begriffsschrift | Resolution (logic) | Primitive recursive function | SPARK (programming language) | IsaPlanner | Proof assistant | Alonzo Church | Gottlob Frege | Jape (software) | Logic programming | Binary decision diagram | CARINE | Automath | Löwenheim–Skolem theorem | Completeness (logic) | Prover9 | Rewriting | Superposition calculus | Formal verification | Mathematical proof | Metamath | Propositional formula | Well-formed formula | Alt-Ergo | Connect Four | On Formally Undecidable Propositions of Principia Mathematica and Related Systems | Model elimination | Peano axioms | PhoX | Proof complexity | Mizar system | Presburger arithmetic | Decidability (logic) | Higher-order logic | Method of analytic tableaux | Co-NP-complete | Alan Turing | Curry–Howard correspondence | ACL2 | SPASS | Prototype Verification System | Mathematical induction | Modus ponens | Wolfram Mathematica | Herbrand interpretation | Z3 Theorem Prover | DPLL algorithm | Model checking | Disjunctive normal form | Validity (logic) | Automated reasoning | Four color theorem | Paradox (theorem prover) | Principia Mathematica | Mathematical logic | System on TPTP | Equational prover | Gödel's completeness theorem | Computability | Theorem Proving System | Bertrand Russell | KeY | Proof compression | Alfred North Whitehead | Logicism | Thoralf Skolem | First-order logic | Twelf | Computer algebra system | Otter (theorem prover)