Lectures related to Inductive Propositions: Understanding Evaluation in Coq

Inductive Propositions: Reasoning and Evaluation Techniques

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.

Introduction to Coq: Arithmetic Expressions and Evaluators

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

Coq Workshop: Introduction to Interactive Theorem Proving

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

Hoare Logic: Foundations and Applications

Covers Hoare Logic, its foundations, applications, and significance in program verification.

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.

Data Abstraction: Modules and Specifications in Coq

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

Coq: Overview

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

Concept of Proof in Mathematics

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Polymorphism in Coq: Data Structures and Functions

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

Logic Programming Techniques: Automated Proof Search and Unification

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

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.

Simply Typed Lambda Calculus: Foundations and Properties

Covers the simply typed lambda calculus, focusing on its syntax, semantics, and type system properties such as progress and preservation.

Verifying Programs with Stainless: How Stainless Works

Explores the inner workings of the Stainless framework, emphasizing verification-aware transformations and dependent type checking.

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Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

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.

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.

Proofs and Logic: Introduction

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Coq: Introduction

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