Formal verification of a realistic compiler

X Leroy - Communications of the ACM, 2009 - dl.acm.org
This paper reports on the development and formal verification (proof of semantic
preservation) of CompCert, a compiler from Clight (a large subset of the C programming …

A machine-checked proof of the odd order theorem

G Gonthier, A Asperti, J Avigad, Y Bertot… - … on interactive theorem …, 2013 - Springer
This paper reports on a six-year collaborative effort that culminated in a complete
formalization of a proof of the Feit-Thompson Odd Order Theorem in the Coq proof assistant …

Formal proof–the four-color theorem

G Gonthier - Notices of the AMS, 2008 - ams.org
The Tale of a Brainteaser Francis Guthrie certainly did it, when he coined his innocent little
coloring puzzle in 1852. He managed to embarrass successively his mathematician brother …

A formally verified compiler back-end

X Leroy - Journal of Automated Reasoning, 2009 - Springer
This article describes the development and formal verification (proof of semantic
preservation) of a compiler back-end from Cminor (a simple imperative intermediate …

[图书][B] Famous puzzles of great mathematicians

M Petkovi_ - 2009 - books.google.com
This entertaining book presents a collection of 180 famous mathematical puzzles and
intriguing elementary problems that great mathematicians have posed, discussed, and/or …

A survey on fair allocation of chores

H Guo, W Li, B Deng - Mathematics, 2023 - mdpi.com
Wherever there is group life, there has been a social division of labor and resource
allocation, since ancient times. Examples include ant colonies, bee colonies, and wolf …

A formal verification framework for security issues of blockchain smart contracts

T Sun, W Yu - Electronics, 2020 - mdpi.com
Blockchain technology has attracted more and more attention from academia and industry
recently. Ethereum, which uses blockchain technology, is a distributed computing platform …

Dense regular packings of irregular nonconvex particles

J de Graaf, R van Roij, M Dijkstra - Physical Review Letters, 2011 - APS
We present a new numerical scheme to study systems of nonconvex, irregular, and
punctured particles in an efficient manner. We employ this method to analyze regular …

A revision of the proof of the Kepler conjecture

TC Hales, J Harrison, S McLaughlin, T Nipkow… - The Kepler Conjecture …, 2011 - Springer
The Kepler conjecture asserts that no packing of congruent balls in threedimensional
Euclidean space has density greater than that of the face-centered cubic packing. The …

[图书][B] Motivationsentwicklung im Mathematikstudium

M Liebendörfer - 2018 - Springer
Die wissenschaftliche Mathematik umfasst einerseits ein Theoriegebäude, andererseits eine
menschliche Praxis. Dies wird z. B. beim Beweisen deutlich, siehe Kapitel 2.1. 4. Im …