Lectures related to Typed lambda calculus

Lambda Calculus and Type Safety: An Overview

Provides an overview of lambda calculus, type safety, and type inference in programming languages.

Explores Church numerals and encoding conditionals in lambda calculus.

Explores Church numerals, Booleans, pairs, recursion, and behavioral equivalence in Lambda Calculus.

Type Checking and Reconstruction: Equations and Unification

Delves into type checking, reconstruction, equations, unification, Hindley/Milner system, polymorphism, and principal types.

Lambda Calculus: Syntax and Abstractions

Introduces terms, abstractions, applications, and values in the lambda calculus.

Pen-and-paper session: Lambda Calculus Proofs

Delves into Lambda Calculus proofs, emphasizing structural induction and variable manipulation.

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.

Semantics in Computer Language Processing: Understanding Meaning

Covers the semantics of programming languages, focusing on the Add language and the role of rewriting rules and CK machines in understanding meaning.

Encoding Recursion as Self-Application

Explores lambda calculus, higher-order functions, and recursive function encoding.

Logical Formulas and Types: Understanding the Kerry Howard Isomorphism

Explores the Kerry Howard Isomorphism, translating logical propositions into types and terms, with a focus on proof by induction and exam preparation.

STL Essentials

Covers the essential concepts of the Standard Template Library (STL) in C++ for efficient data manipulation.

Dependent Types in Programming Languages

Explores maps, type operators, equivalence, first-class types, System Fw, Coq, and the challenges of type checking in programming languages.

Types in Lambda Calculus

Covers types in lambda calculus, including defining types, specifying rules, and proving soundness.

Subtyping and Type Calculus

Explores subtyping, type calculus, and type bounds calculation in a system with subtyping, guiding through exercises and proofs step by step.

Lambda Functions: Syntax and Examples

Covers the syntax and examples of lambda functions, including parameters, types, bodies, and environments.

Python Programming: List Comprehensions and Higher Order Functions

Explores advanced Python programming concepts, focusing on list comprehensions and higher order functions.

Functional Programming in Python

Covers functional programming concepts in Python, showcasing filtering lists based on specific criteria.

Lambda Calculus: Operational Semantics and Evaluation Strategies

Covers operational semantics and evaluation strategies in lambda calculus, including redex, alternative evaluation strategies, and Church Booleans.

Python Complement: Numpy, Scipy, Matplotlib

Covers advanced Python topics like numpy operations, scipy linear algebra, and matplotlib for creating figures.

Programming by Flows: Temperature Conversion

Demonstrates temperature conversion from Fahrenheit to Celsius using Java streams and lambda expressions.