Daniel R. Licata

A Formulation of Dependent ML with Explicit Equality Proofs

2018 · KiltHub Repository

We study a calculus that supports dependent programming in the style of Xi and Pfenning’s Dependent ML. Xi and Pfenning’s language determines equality of static data using a built-in decision procedure; ours permits explicit, programmer-written …

A Formal Logic for Formal Category Theory (Extended Version)

2022 · arXiv (Cornell University)

We present a domain-specific type theory for constructions and proofs in category theory. The type theory axiomatizes notions of category, functor, profunctor and a generalized form of natural transformations. The type theory imposes an ordered …