We show how to encode the HOL Light logic in Coq. This makes an automatic translation of HOL proofs to Coq possible. The translated HOL proofs refer to translated HOL data types but …

When proving theorems in Coq, knowing what tactics you have at your disposal is vital. In fact, sometimes it's impossible to complete a proof if you don't know the right tactic to use!

Boll & Branch is a privately held, U.S. based, e-commerce company that sells luxury bedding online. Headquartered in Summit, New Jersey, the company manufactures and sells organic …

Sep 12, 2017 · How should I go about this in Coq, without generating v x0, v x1 and a (A_ends x0 x1) \/ a (A_ends x1 x0) as new subgoals all the time? The tricky part is the: "suppose some …

So what are meaningful Coq expressions of type 1 + 1 = 2? They are the proofs of 1 + 1 = 2. There might be many such proofs; here are two: reduce 1+1 to 2, then note that x=x. subtract …

Coq'Art is the familiar name for the first book on the Coq proof assistant and its underlying theory, the Calculus of Inductive Constructions. This project contains the Coq sources of all examples …

Nov 26, 2018 · Zach Tatlock and the TA Talia Ringer made some wonderful homework to help us learn Coq. While in this course, we proved more practical things, like a programming language …

Coq complains that n = 2 has type Prop, while it expects an element of bool (or some other inductive type with two constructors). This has to do with the computational nature of Coq's …

Coq's logical core, the Calculus of Inductive Constructions, is a "metalanguage for mathematics" in the same sense as familiar systems for paper-and-pencil mathematics, like Zermelo …

Jul 9, 2019 · What is the correct way to define this super-type, or show the lemma? The definition of Boat looks fine to me, and it's possible (if slightly cheating) to get boat_eq_dec using …