Radical and Type Theories in Organic Chemistry (1832-1850) - Lecture 22
Explores radical and type theories in organic chemistry, covering historical developments, key figures, and fundamental concepts like HOMO-LUMO mechanism and free-radical chain reactions.
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.
Univalence from a Computer Science Point-of-View - Dan Licata
Explore univalence in computer science with Dan Licata, covering Martin-Löf type theory, computation, and applications in homotopy theory and group structures.
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.
Translating HOL-Light Proofs to Coq
Découvrez la traduction des preuves HOL-Light vers Coq, explorant les défis et solutions pour la vérification formelle entre systèmes logiques différents.
Timely Computation - A Formal Approach to Digital Circuit Design
Explore a formal definition of digital circuits, emphasizing compositional correctness and timing analysis through simple denotations and homomorphisms in Agda.
Turing Award Recipient Dana S. Scott - Reflections on Logic and Computer Science - Part 4
Explore Dana S Scott's contributions to computer science, including his work on LCF, Scott Domains, and Category Theory Type Theory, in this insightful interview segment.
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.
Georges Gonthier - Computer Proofs - Teaching Computers Mathematics, and Conversely
Explore computer-assisted mathematical proofs, from the four-color puzzle to homotopy type theory. Learn how computer science methods enhance mathematical language, leading to new insights and advancements in formal proofs.
A Fibrational Framework for Modal Dependent Type Theories
Explore modal extensions of homotopy type theory, their frameworks, and applications in real-cohesive and differential-cohesive HoTT. Gain insights into fibrational frameworks for modal type theories.
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.
Dialectica Categories for All
Explore dialectica categories and their applications in logic, mathematics, and computer science with expert Valeria de Paiva in this insightful talk.
An Alternative Approach to Formal Mathematics - Prioritizing Communication over Certification
Exploring a communication-oriented approach to formal mathematics, emphasizing accessibility and practicality for a wider range of practitioners without sacrificing rigor.
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.
Polynomial Functors Formalization Report
Explore the formalization of polynomial functors with Sina Hazratpour, delving into advanced mathematical concepts and their applications in functional programming.
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.
An Introduction to Differential Linear Logic
Explore Differential Linear Logic fundamentals, key concepts, and applications in this comprehensive introduction by Marie Kerjean at CIRM's mathematical conference.
On a Decomposition of WKL
Explore a mathematical decomposition of WKL!! with Takako Nemoto, delving into type theory, constructive mathematics, and geometric logics.
Formalization of Infinity Category Theory
Explore ∞-category theory's formalization, unifying mathematics, computer science, and physics. Learn synthetic reasoning and the Yoneda Lemma in this advanced mathematical seminar.
From HoTT to HOTT - Exploring Homotopy Type Theory
Explore the evolution from Homotopy Type Theory (HoTT) to Higher-Order Type Theory (HOTT) in this insightful lecture by Michael Shulman.
Monadic and Comonadic Aspects of Dependency Analysis
Explore monadic and comonadic aspects of dependency analysis, unifying calculi into a framework that addresses limitations of existing approaches and provides novel correctness proofs.