4 citations · 5 across the 5 of their papers we have counts for
4 papers · 1 filter
Relational Type Theory (All Proofs)
Aaron Stump, Benjamin Delaware, Christopher Jenkins
This paper introduces Relational Type Theory (RelTT), a new approach to type theory with extensionality principles, based on a relational semantics for types. The type constructs o…
A Weakly Initial Algebra for Higher-Order Abstract Syntax in Cedille
Aaron Stump
Cedille is a relatively recent tool based on a Curry-style pure type theory, without a primitive datatype system. Using novel techniques based on dependent intersection types, indu…
Syntax and Typing for Cedille Core
Aaron Stump
This document specifies a core version of the type theory implemented in the Cedille tool. Cedille is a language for dependently typed programming and computer-checked proof. Cedil…
Course-of-Value Induction in Cedille
Denis Firsov, Larry Diehl, Christopher Jenkins +1
In the categorical setting, histomorphisms model a course-of-value recursion scheme that allows functions to be defined using arbitrary previously computed values. In this paper, w…