Lectures related to Lambda cube

Lambda Calculus and Type Safety: An Overview

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

Church Numerals and Conditionals

Explores Church numerals and encoding conditionals in lambda calculus.

Lambda Calculus: Church Numerals

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

Lambda Calculus: Syntax and Abstractions

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

Type Checking and Reconstruction: Equations and Unification

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

High-Order Functions: Unification Theory

Covers high-order functions, parser, and type checker concepts.

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.

Pen-and-paper session: Lambda Calculus Proofs

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

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.

Encoding Recursion as Self-Application

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

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.

Types in Lambda Calculus

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

Lambda Functions: Syntax and Examples

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

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.

Python Programming: List Comprehensions and Higher Order Functions

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

Lambda Calculus: Operational Semantics and Evaluation Strategies

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

Monetary Policy and Household Decisions

Explores household optimization, monetary policy impact, and price flexibility in the New Keynesian model.

Python Complement: Numpy, Scipy, Matplotlib

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

Foundations of Scala: Modelling and Type Systems

Covers the foundations of Scala, including modelling recursive types, parameterized types, and variance.

Lambda Functions: Examples

Explores lambda functions in Java through practical examples and the consumer interface.