Isabelle/HOL: A Proof Assistant for Higher-Order Logic
by T. Nipkow, L.C. Paulson, M. Wenzel
Publisher: Springer 2010
Number of pages: 223
This book is a self-contained introduction to interactive proof in higher-order logic (HOL), using the proof assistant Isabelle. It is a tutorial for potential users rather than a monograph for researchers. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
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by Thomas Hales - arXiv
Computers have rapidly become so pervasive in mathematics that future generations may look back to this day as a golden dawn. The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.
by Jean Gallier - Morgan Kaufmann
This book offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work -- whether you are a graduate student, scientist, or practitioner.
by Joseph O'Rourke - Oxford University Press
Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas.
by Philip J. Koopman, Jr. - Academic Press
The results of cache-simulation experiments with an abstract machine for reducing combinator graphs are presented. The abstract machine, called TIGRE, exhibits reduction rates that compare favorably with previously reported techniques.