Assia Mahboubi – författare

Proof assistants are computer programs that help users formally describe mathematical statements and proofs, making them amenable to mechanical checking. Today they are used to verify operating systems, compilers, and cryptographic protocols, as well as landmark results in mathematics such as the Feit-Thompson theorem or the Kepler conjecture. Contemporary proof assistants rely on a sophisticated interaction between theoretical investigations in metamathematics and the efficient implementation of a portfolio of algorithms, without which these systems would not usable on a large scale. During the last decade, the use of proof assistants has grown steadily, and they are now at the same time a research topic in its own right and a tool for researchers in other domains. Yet no reference book is available today that covers the entire domain. This book is an introduction and reference for the various topics related to the underlying logical formalisms, architectures, and applications.The main audience is graduate students entering the field of interactive theorem proving, the secondary audience is more established researchers in computer science, mathematics, and philosophy, as well as practicing engineers, engaged with proof assistants.

This book constitutes the refereed proceedings of the 9th International Conference on Interactive Theorem Proving, ITP 2018, held in Oxford, UK, in July 2018.The 32 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions.  The papers feature research in the area of logical frameworks and interactive proof assistants. The topics include theoretical foundations and implementation aspects of the technology, as well as applications to verifying hardware and software systems to ensure their safety and security, and applications to the formal verication of mathematical results.Chapters 2, 10, 26, 29, 30 and 37 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.