Lambda Calculus: Syntax and Abstractions

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Lambda Calculus and Type Safety: An Overview

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

Lambda Calculus: Church Numerals

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

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.

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.

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.

Python Programming: List Comprehensions and Higher Order Functions

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

Functional Programming: Concepts and Implementation

Covers the concepts and implementation of functional programming in Scala, emphasizing functions, immutable data, and data abstraction.

Lambda Calculus: Operational Semantics and Evaluation Strategies

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

Algorithms & Growth of Functions

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Type Checking and Reconstruction: Equations and Unification

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