Agda Courses and Certifications

GOTO Conferences

Programming Languages in Agda - Propositions as Types

Explore the profound connection between logic and computation through Agda, a dependently-typed language. Learn how to program and prove properties of programming languages using this innovative approach.

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

ACM SIGPLAN

BiSikkel: A Multimode Logical Framework in Agda

Explore BiSikkel, a multimode logical framework in Agda that extends the Sikkel library with capabilities for writing multimode proofs about multimode programs, demonstrated through guarded streams and parametricity predicates.

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

ACM SIGPLAN

Checking a Denotational Semantics of Scheme in Agda

Explore how to embed and verify Scheme's denotational semantics using Agda's type system to detect wellformedness issues and improve semantic definitions.

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

ACM SIGPLAN

Formalising Graph Algorithms with Coinduction

Explore a formal theory of graphs as coinductive structures in Agda, addressing challenges in formalizing graph algorithms with dependently-typed proof assistants through innovative quotient types and reusable techniques.

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

ACM SIGPLAN

Binary Search - Think Positive

Discover program verification in Agda through binary search algorithms with a positive approach to formal methods and correctness proofs.

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

ACM SIGPLAN

Contract System Metatheories à la Carte - A Transition-System View of Contracts

Explore how higher-order contract systems can be viewed as transition systems, enabling modular metatheory reuse and proving elimination of asymptotic slowdowns.

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

CppNow

The Intellectual Ascent to Agda

Explore denotative design and its application in C++ programming, using Agda's syntax to derive powerful, composable libraries from domain-specific mathematical entities.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Conference Talk

ACM SIGPLAN

Internal and Observational Parametricity for Cubical Agda

Explore internal parametricity in Cubical Agda, introducing Agda --bridges and the Structure Relatedness Principle for efficient proofs of parametricity theorems in dependent type theory.

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

ACM SIGPLAN

Intrinsically Correct Sorting in Cubical Agda

Explore how bialgebraic semantics and distributive laws can be used to define intrinsically correct sorting algorithms in cubical Agda, ensuring ordered permutations through multiset indexing.

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

ACM SIGPLAN

Can We Formalise Type Theory Intrinsically Without Any Compromise? A Case Study in Cubical Agda

Explore intrinsic type theory formalization in Cubical Agda using quotient inductive types, examining natural models and metatheory challenges without compromises.

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

Hausdorff Center for Mathematics

Peter Dybjer - Intuitionistic Type Theory

Explore intuitionistic type theory, inductive definitions, and finite axiomatizations in this advanced lecture on mathematical foundations and type systems.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

ACM SIGPLAN

Towards Tagless Interpretation of Stratified System F

Explore the design of an intrinsically typed, tagless interpreter for stratified System F in Agda, focusing on advanced type theory concepts and implementation strategies.

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

ACM SIGPLAN

Type System for Four Delimited Control Operators

Explore a uniform type system for four control operators, examining their relationships and implementation in Agda. Gain insights into CPS translation and termination properties.

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

ACM SIGPLAN

Vehicle - A Specification Language for Neural Network Properties

Explore Vehicle, a functional DSL for specifying neural network properties. Learn to express, compile, and verify specifications across platforms, enhancing safety in ML-enhanced systems.

• YouTube
• 3 hours 6 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