Dependent Types in Programming Languages

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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.

Types in Lambda Calculus

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

Foundations of Scala: Modelling and Type Systems

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

Type Checking and Reconstruction: Equations and Unification

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

Verified Functional Programming: Nicolas Voirol public PhD thesis defense

Explores verified functional programming, formal verification, SMT solvers, type checking, Scala features, automation, and dependent types.

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.

Stochastic Endowment Consumption Model

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

Kinematics: Deformation and Expansion

Explores kinematics of deformation, focusing on radial and linear expansion, torsion, and rotation by an angle.

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.

Verifying Compiler: Spec# Approach

Explores the Spec# programming system, focusing on a verifying compiler for C# 2.0.