Dependent Types Courses and Certifications

Strange Loop Conference

A Little Taste of Dependent Types

Explore dependent types, uniting programming and mathematical proofs. Learn about Pie, a tiny dependently typed language, and see a proof that's also a program.

• YouTube
• 39 minutes
• On-Demand
• Conference Talk

Strange Loop Conference

Dependent Types in Haskell

Explore dependent types in Haskell, their influence on GHC, and practical applications through an extended example. Learn about current capabilities, challenges, and surprises in language design.

• YouTube
• 39 minutes
• On-Demand
• Conference Talk

Strange Loop Conference

Scala vs Idris - Dependent Types, Now and in the Future

Exploring dependent types in Scala and Idris: current capabilities, limitations, and future possibilities. Demonstrates rich type systems' potential for program verification and static constraint capture in functional programming.

• YouTube
• 40 minutes
• On-Demand
• Conference Talk

Hausdorff Center for Mathematics

HOL with Dependent Types and Subtyping

Explore advanced type theory concepts combining Higher-Order Logic, dependent types, and subtyping for enhanced formal reasoning and theorem proving capabilities.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Scala Days Conferences

On Track with Tracked - Dependent Types and the Tracked Modifier in Scala

Explore advanced dependent typing in Scala, focusing on new language features like the tracked modifier that streamline dependent classes and improve type safety in object-oriented programming.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Types Dépendants et Formalisation des Mathématiques

Découvrez la formalisation des mathématiques via les types dépendants et le lambda-calcul typé pour la vérification de preuves sur ordinateur avec des experts de l'IHES.

• YouTube
• 4 hours 51 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Types of Studies - Independent and Dependent Variables, Observation and Experimental Studies

Explore the concepts of independent and dependent variables, and understand the differences between observational and experimental studies in research methodology.

• YouTube
• 29 minutes
• On-Demand
• Free Video

ACM SIGPLAN

Shape-Constrained Array Programming with Size-Dependent Types

Explore a dependent type system for array-size consistency in functional programming, enabling compile-time shape enforcement and nontrivial transformations without added complexity.

• YouTube
• 43 minutes
• On-Demand
• Free Video

NashKnolX

DOT: Foundation of Scala 3 - Dependent Object Types Calculus

Explore the Dependent Object Types calculus, a type-theoretic foundation for Scala 3, unifying type members and simplifying type computations.

• YouTube
• 1 hour
• On-Demand
• Free Video

Strange Loop Conference

Proof Theory Impressionism - Blurring the Curry-Howard Line

Exploring approaches to bridge the gap between proof assistants and production languages, focusing on Rust and its potential for incorporating provable system capabilities.

• YouTube
• 35 minutes
• On-Demand
• Conference Talk

GOTO Conferences

A Taste of Type Theory

Explore the foundations of type theory in programming, from algebraic data types to dependent types, with insights on mathematical connections and future developments in the field.

• YouTube
• 54 minutes
• On-Demand
• Conference Talk

Hausdorff Center for Mathematics

Peter Dybjer - Intuitionistic Type Theory - Lecture I

Explore intuitionistic type theory's foundations, historical context, and applications in mathematics and computer science with Prof. Peter Dybjer's comprehensive lecture.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Institute for Advanced Study

On Voevodsky's Univalence Principle - André Joyal

Explorez le principe d'univalence de Voevodsky avec André Joyal, examinant ses implications pour la théorie des types et les catégories dans cette conférence commémorative approfondie.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Univalent Foundations and the Equivalence Principle - Benedikt Ahrens

Explore univalent foundations and the equivalence principle in mathematics, covering type theory, dependent types, and their applications to structures like monoids and categories.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Topos Institute

All Concepts are Essentially Algebraic - A Study of Dependently-Typed Algebraic Theories

Delve into the mathematical exploration of how dependently-typed algebraic theories can unify and describe complex mathematical structures, from groups to entire mathematical universes.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video