Introducing HOL zero (extended abstract)

Abstract

Theorem provers are now playing an important role in two diverse fields: computer system verification and mathematics. In computer system verification, they are a key component in toolsets that rigorously establish the absence of errors in critical computer hardware and software, such as processor design and safety-critical software, where traditional testing techniques provide inadequate assurance. In mathematics, they are used to check the veracity of recent high-profile proofs, such as the Four Colour Theorem and the Kepler Conjecture, whose scale and complexity have pushed traditional peer review to its limits. © 2010 Springer-Verlag.