Type Checking and Reconstruction: Equations and Unification

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Church Numerals and Conditionals

Explores Church numerals and encoding conditionals in lambda calculus.

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.

Stochastic Endowment Consumption Model

Covers the stochastic endowment consumption model, log-linear transformation, impulse response solution, and Matlab codes.

Pen-and-paper session: Lambda Calculus Proofs

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

Records and Variants

Introduces records, variants, evaluation rules, typing rules, aliasing challenges, and benefits in programming languages.

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.

High-Order Functions: Unification Theory

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

Polymorphism and Proofs

Covers parametric polymorphism, lists construction, tuples, generic methods, merge sort, and proving program properties.

Type Checking Lab

Focuses on implementing a type checker for Amy, covering name and type analysis, typing constraints generation, and the importance of type checking in compilation.