Curry-Howard Correspondence Courses and Certifications

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

Institut Henri Poincaré

Semantics of Proofs and Certified Mathematics

Explore the mathematics of formal proofs and certified mathematics through lectures on proof assistants, type theory, and the Curry-Howard correspondence.

• YouTube
• 18 hours 58 minutes
• On-Demand
• Free Video

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

Strange Loop Conference

War Time Proofs and Futuristic Programs

Exploring Gödel's Dialectica interpretation and its connection to linear logic type theory, revealing how past mathematical ideas influence modern programming languages and type systems.

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

try! Swift Conference

Generics in Protocol Extension

Explore advanced Swift concepts: generics in protocol extensions, existential types, and Curry-Howard correspondence. Learn to create powerful, flexible code using functional programming principles.

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

ACM SIGPLAN

On the Metatheory of IRs and the CPS-Calculus

Explore the metatheory of IRs and CPS-calculus, examining their foundations, semantics, and applications in compiler optimization and dependently-typed programming languages.

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

ACM SIGPLAN

Stream Types - A Foundational Theory of Typed Data Streams and Stream Transformers

Explore a foundational theory of typed data streams and transformers, covering complex sequential patterns, parallel structure, and programming idioms like punctuation and windowing.

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

ACM SIGPLAN

Termination in Concurrency, Revisited - PPDP23

Explore termination in concurrent programming, comparing type systems for mobile processes and examining session types, weight-based systems, and Curry-Howard correspondence.

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

ACM SIGPLAN

A Semantic Logical Relation for Termination of Intuitionistic Linear Logic Session Types

Explore the development of a semantic logical relation for proving termination in intuitionistic linear logic session types, featuring a novel rooted tree dynamics and complete Coq mechanization.

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

ACM SIGPLAN

Programming with Projective Cliffords

Explore programming projective Cliffords through their conjugation action on Paulis, establishing a Curry-Howard correspondence with LambdaPC lambda-calculus where well-typed functions correspond to projective Cliffords.

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

ACM SIGPLAN

The Duality of λ-Abstraction

Explore the duality between higher-order functions and continuations in type theory, examining how coexponentials complement exponentials to create a symmetrical lambda calculus with practical applications in control flow and classical logic.

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

Code Sync

Automating Type-Driven Development with Coalgebras

Explore how types guide automatic code derivation through recursion schemes and (co)algebras, using Curry-Howard correspondence for verified implementations in Scala 3.

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

Code Sync

Hoogle for the Hungry Masses - TypeSearch for Type-Directed API Search

Discover TypeSearch, a type-directed API search tool inspired by Hoogle that works across multiple programming languages, plus explore code synthesis using Curry-Howard correspondence.

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