Proof assistants | Free theorem provers
The Isabelle automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala. As an LCF-style theorem prover, it is based on a small logical core (kernel) to increase the trustworthiness of proofs without requiring — yet supporting — explicit proof objects. Isabelle is available inside a flexible system framework allowing for logically safe extensions, which comprise both theories as well as implementations for code-generation, documentation, and specific support for a variety of formal methods. It can be seen as an IDE for formal methods. In recent years, a substantial number of theories and system extensions have been collected in the Isabelle Archive of Formal Proofs (Isabelle AFP) Isabelle was named by Lawrence Paulson after Gérard Huet's daughter. The Isabelle theorem prover is free software, released under the revised BSD license. (Wikipedia).
Helen Keller: Biography of a Great Thinker
Helen Keller (1880-1968) was the first deaf and blind person to earn a Bachelor's degree. Her teacher and companion was Anne Sullivan, and the story of how Sullivan broke through Keller's isolation to teach her language was the subject of the play and Academy Award winning movie "The Mira
From playlist It Starts With Literacy
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From playlist MWRC 2009
Building Apps That Builds Apps
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From playlist Inspect 2014
Claire Grosvenor talks about her internship with Animal Wonders. "I thought I'd just be feeding and cleaning, but there's a lot more that goes into it than that." -- Looking for more awesome animal stuff? Subscribe to Animal Wonders Montana to see all of our videos! Other places to fin
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How She Built Her Own Role at Google (Stephanie Wong) - KNN Ep. 128
Today, I had the pleasure of interviewing Stephanie Wong. Stephanie is a 3x Webby award-winning Head of Developer Engagement. She is a global Keynote speaker, engineer, and content creator with a mission to blend storytelling and technology to inspire developers. She has created hundreds o
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Currently, our industry has a surplus of bright junior developers, but a lack of open junior positions. Building a developer apprenticeship in your organization is a great way to provide a haven for these talented devs, while simultaneously making your team more productive and easing the p
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Tony Wu - Autoformalization with Large Language Models - IPAM at UCLA
Recorded 15 February 2023. Tony Wu of Google presents "Autoformalization with Large Language Models" at IPAM's Machine Assisted Proofs Workshop. Abstract: Autoformalization is the process of automatically translating from natural language mathematics to formal specifications and proofs. A
From playlist 2023 Machine Assisted Proofs Workshop
Fabian Immler, Carnegie Mellon University Formal mathematics and a proof of chaos Formal proof has been successfully applied to the verification of hardware and software systems. But formal proof is also applicable to mathematics: proofs can be checked with ultimate rigor and one can bui
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
Fabian Immler : Verified numerics for ODEs in Isabelle/HOL
Abstract : This talk is about verified numerical algorithms in Isabelle/HOL, with a focus on guaranteed enclosures for solutions of ODEs. The enclosures are represented by zonotopes, arising from the use of affine arithmetic. Enclosures for solutions of ODEs are computed by set-based varia
From playlist Mathematical Aspects of Computer Science
Anthony Bordg - How to Do Maths Without Dependent Types
What can be done when formalising mathematics without dependent types? I will give you new insights into this question by exploring the capability and possible limitations of the Isabelle/HOL proof assistant. I will explain what we learnt formalising Grothendieck's schemes using only Isabe
From playlist Workshop Schlumberger 2022 : types dépendants et formalisation des mathématiques
Haniel Barbosa - Better SMT proofs for certifying compliance and correctness - IPAM at UCLA
Recorded 14 February 2023. Haniel Barbosa of Universidade Federal de Minas Gerais in Belo Horizonte presents "Better SMT proofs for certifying compliance and correctness" at IPAM's Machine Assisted Proofs Workshop. Abstract: SMT solvers can be hard to trust, since it generally means assumi
From playlist 2023 Machine Assisted Proofs Workshop
Machine-Assisted Proofs – ICM2018
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From playlist IMU Discussion Panels
Bohua Zhan - Verifying symbolic computation in the HolPy theorem prover - IPAM at UCLA
Recorded 16 February 2023. Bohua Zhan of the Chinese Academy of Sciences presents "Verifying symbolic computation in the HolPy theorem prover" at IPAM's Machine Assisted Proofs Workshop. Abstract: Symbolic computation appears frequently in mathematical proofs, as well as in sciences and en
From playlist 2023 Machine Assisted Proofs Workshop
Agile Roots 2010 - Agile and User Experience Design
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From playlist AgileRoots2010
4 - Kick-off afternoon : Xavier Leroy, Proof assistants in computer science research
J'ai créé cette vidéo à l'aide de l'application de montage de vidéos YouTube (http://www.youtube.com/editor).
From playlist T2-2014 : Semantics of proofs and certified mathematics
!!Con 2021 - Opening Keynote: CodingFutureCoders by Angie Jones
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From playlist !!Con 2021
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
Tiffany shows you what it's like to be a Concierge, why she loves her job and what steps you need to take if you would like to be a Concierge too! #conciergeservice #concierge #conciergeservices #hotelindustry #hospitality #jobinterview #careeradvice #careers #career #job #jobs #hawaii #ma
From playlist Career Examples
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