Proof assistants: History, ideas and future

Proof Assistants: history, ideas and future

In this paper we will discuss the fundamental ideas behind proof assistants: What are they and what is a proof anyway? We give a short history of the main ideas, emphasizing the way they ensure the correctness of the mathematics formalized. We will also briefly discuss the places where proof assistants are used and how we envision their extended use in the future. While being an introduction in...

Proof - assistants using Dependent

Algebraic Proof Assistants in HOL

We explore several ways to formalize the algebraic laws of CSP-like languages in HOL. The intent of the paper is to show how HOL can be tailored to acting as a proof assistant. The emphasis is therefore on the consequences of various choices to be made during the formalization for writing tactics. We end up with a proof assistant that allows a user to make steps of the granularity of an algebra...

Proof-Assistants Using Dependent Type Systems

Chapter 1 Proof - assistants using Dependent