"Between the darkness and the dawn, a red cube rises!": a proof assistant for cartesian cubical type theory
Theorem Proving in Lean
A Super Kawaii Dependently Typed Programming Language
A selection of formal proofs in Coq.
A modern proof language
Agda is a dependently typed programming language / interactive theorem prover.
A SuperCompiler for Martin-Löf's Type Theory
Formal Type Theory
Formalising Type Theory in a modular way for translations between type theories
Rust Nbe For Mltt
Normalization by evaluation for Martin-Löf Type Theory with dependent records
(WIP) Dependently-typed programming language with Agda style dependent pattern matching
Towards changing things and see if it proofs
A friendly little systems language with first-class types. Very WIP! 🚧 🚧 🚧
λΠ Programming Language Theory
Experimental implementation of Cubical Type Theory
Programming language agnostic type construction language based on polynomials.
Research on integrating datalog & lambda calculus via monotonicity types
Write You A Haskell
Building a modern functional compiler from first principles. (http://dev.stephendiehl.com/fun/)
Fine-grain implementations of common lambda calculi in Haskell, tested with QuickCheck
Lecture note on Lambda Calculus and Types for FLOLAC
The MLPolyR programming language, revived
An experimental implementation of homotopy type theory in the interactive proof assistant Isabelle
A research project in path semantics, a re-interpretation of functions for expressing mathematics
Logical manifestations of topological concepts, and other things. This version adopts the univalent point of view.
A categorical semantics library in Agda.
SHAPE/S∀F∃: static prover/type-checker for N-D array programming in Scala, a use case of intuitionistic type theory
Dependently-typed row-polymorphic programming language, evolved from minitt-rs
Dependently-typed lambda calculus, Mini-TT, extended and implemented in Rust
Book: Gentle Introduction to Dependent Types with Idris
My undergradate thesis on coinductive types in univalent type theory