Hausdorff Center for Mathematics Courses

Lean-HoG: Incorporating a Database of Graphs into a Proof Assistant

Explore the integration of a graph database into a proof assistant, enhancing mathematical reasoning capabilities and streamlining complex proofs in formal verification.

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

Formalising the Theory of Combinatorial Optimisation

Explore formalisation of combinatorial optimisation theory in Isabelle/HOL, focusing on matching theory and its mathematical implications for computer science and applied mathematics.

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

Unavoidable Mathematics - Exploring Derived Concepts from Simple Theories

Exploring fundamental mathematical concepts that arise naturally from simple theories, revealing unexpected connections and rich structures in algebra, category theory, and computer science.

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

Polynomial Functors Formalization Report

Explore the formalization of polynomial functors with Sina Hazratpour, delving into advanced mathematical concepts and their applications in functional programming.

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

Peculiarities of the Minimalist Foundation for Formal Mathematics

Explore the unique aspects of the Minimalist Foundation and its implications for formal mathematics in this insightful seminar presentation.

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

System Introductions I - HOL - Lecture 1

Introduction to the HOL theorem prover, exploring its features and applications in formal mathematics and computer science verification.

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

Even More on HOL Light - Lecture 3

Explore advanced topics in HOL Light theorem proving, building on previous sessions to deepen understanding and practical application of this powerful system.

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

More on HOL Light - Lecture 2

Explore advanced concepts and applications of HOL Light theorem prover with expert Freek Wiedijk in this in-depth continuation of the series.

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

System Introductions II - Naproche

Explore Naproche, a system for formalizing mathematical proofs, in this insightful presentation by Peter Koepke at the Hausdorff Center for Mathematics.

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

A Categorical Account of the Setoid Model

Explore a categorical perspective on the setoid model, delving into mathematical concepts and their implications in set theory and category theory.

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

AI Tools for Better Math

Explore AI tools for enhancing mathematical understanding and problem-solving, focusing on innovative applications and potential advancements in the field of mathematics.

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

Doctrines for Formal Mathematics

Explore formal mathematics through doctrines, examining their applications and implications for mathematical foundations and category theory.

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

Teaching Mathematics to Computers - Modern Approaches and Challenges

Explore the potential of computers in theorem-proving and advanced mathematics, from basic logic to modern research, and their future role in mathematical discovery.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

Universes in Set and Type Theory

Explore universes in set and type theory, examining their foundations, structures, and applications in mathematical logic and computer science.

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

Theorem Proving and AI

Explore the intersection of theorem proving and artificial intelligence with Josef Urban, delving into cutting-edge research and potential applications in mathematics and computer science.

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