Dependent Types Courses and Certifications

Code Sync

Examples of Easy Dependently Typed Programming in Idris

Explore practical applications of dependently typed programming in Idris, focusing on everyday software correctness without complex proofs. Suitable for those familiar with algebraic data types and FP functions.

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

ACM SIGPLAN

Graded Modal Dependent Type Theory with Universe and Erasure - Formalized

Explore a graded modal type theory with dependent types, erasure, and formalized meta-theoretic properties. Delve into its universe, extraction function, and soundness proofs for open programs.

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

ACM SIGPLAN

Dependently-Typed Programming with Logical Equality Reflection

Explore System DE, a calculus for dependently-typed programming with equality reflection. Learn about termination tracking, inductive proofs, and performance-safety trade-offs in functional languages.

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

ACM SIGPLAN

One-Pass CPS Translation of Dependent Types

Explore type-preserving CPS translation for dependently typed languages, focusing on optimizing techniques to eliminate administrative redexes in the Calculus of Constructions.

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

ACM SIGPLAN

A Calculus of Inductive Linear Constructions

Explore a novel calculus combining linear and dependent types, addressing challenges in linear dependent types research and enabling efficient resource management in programming.

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

ACM SIGPLAN

Efficient Evaluation with Controlled Definition Unfolding - WITS'24

Explore efficient evaluation techniques in polymorphic and dependently typed languages, focusing on controlled definition unfolding for improved user interaction and unification processes.

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

ACM SIGPLAN

Binding Syntax for Dependently-Typed Programs - WITS'24

Explore innovative binding syntax for dependently-typed programs, enhancing ergonomics while maintaining fixed grammar for improved error messaging.

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

ACM SIGPLAN

Internalizing Indistinguishability with Dependent Types

Explore a novel type system combining dependency tracking and dependent types, internalizing indistinguishability for enhanced information flow control and program equivalence reasoning.

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

ACM SIGPLAN

Combining Dependency, Grades, and Adjoint Logic in Type Systems

Explore new dependent type systems combining graded/linear types with modal operators and Adjoint Logic. Delve into meta-theoretic properties and graded substitution in advanced type theory.

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

ACM SIGPLAN

A Dependently Typed Language with Dynamic Equality

Explore a novel dependently typed language with dynamic equality, addressing usability issues in type systems and providing clearer error messages through runtime equality checking.

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

Introduction to programming with dependent types in Scala

Explore type theory, dependent types, and theorem proving in Scala. Learn advanced concepts like type families, inductive types, and type-level programming for robust software development.

• Stepik
• On-Demand
• Free Online Course

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

EuroPython Conference

Bulletproof Python - Writing Fewer Tests with a Typed Code Base

Explore how a fully typed Python codebase can reduce the need for extensive testing, leveraging dependent types and exhaustiveness checking to enhance code reliability and efficiency.

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

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