Lectures related to Isabelle (proof assistant)

The Languages of Isabelle: Isar, ML, and Scala

Explores the languages of Isabelle, focusing on Isar, ML, and Scala, covering proof schemes, Natural Deduction rules, inductive definitions, and the LCF approach.

Coq: Overview

Introduces Coq and focuses on proving the theorem and_comm step by step.

Coq Workshop: Inductive Data Types and Proofs

Covers the definition of an inductive data type in Coq and how to build proofs interactively using tactics.

LISA proof assistant: Formalisation and Verification

Covers the LISA proof assistant's codebase organization, kernel package, FOL formalization, and proof package.

Coq Workshop: Introduction to Interactive Theorem Proving

Introduces Coq, an interactive theorem assistant based on the Curry-Howard isomorphism.

Verifying Programs with Stainless

Explores the verification of programs using Stainless, focusing on functional correctness, proof assistants, and automation of reasoning tasks.

Data Abstraction: Modules and Specifications in Coq

Discusses data abstraction in programming, focusing on modules and specifications in Coq.

Proofs and Computations: A Journey Through Mathematical Theory

Explores historical mathematical proofs, decision problems, deductive systems, probabilistic and quantum proofs, and interactive proof systems.

Coq: Introduction

Introduces Coq, covering defining propositions, proving theorems, and using tactics.

Introduction to Proof Scripting: Basics of Ltac

Introduces the basics of proof scripting in Coq, focusing on the Ltac language and its tactics for managing proofs effectively.

Automated Reasoning in Practice

Explores practical automated reasoning systems like TPTP, TSTP, and CASC, emphasizing the importance of consistency and future developments.

Polymorphism in Coq: Data Structures and Functions

Covers polymorphism in Coq, focusing on data structures and functions like lists, length, and append.

WireGuard: Cryptographic Protocol for VPNs

Explores the WireGuard Protocol, a modern VPN replacement for IPsec and OpenVPN, focusing on encrypted tunnelling and security properties.

Linear Algebra: Implications and Equivalences

Explores implications and equivalences in linear algebra through examples and formal proofs.

Automated Reasoning: Formal Verification with LISA

Explores formal verification using the LISA proof assistant and the OCBSL Equivalence Checker.

Optimal Transport: Theory and Applications

Explores Lagrange multipliers, minimax theorems, and convex subsets in optimal transport theory.

Introduction to Coq: Arithmetic Expressions and Evaluators

Covers the basics of Coq, focusing on arithmetic expressions, evaluation, and proof techniques.

Big-step semantics: Defining arithmetic expressions and commands

Covers the definition of a simple programming language and its big-step semantics, including arithmetic expressions and imperative commands.

Logic Programming Techniques: Automated Proof Search and Unification

Covers logic programming concepts, focusing on automated proof search and unification techniques in Coq.

Universal Constructions: Consensus and Shared Memory Models

Explores universality, consensus objects, shared memory models, and FIFO Queue implementation.