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Common Knowledge Logic in a Higher Order Proof Assistant
This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the... -
Formal and Incremental Construction of Distributed Algorithms: On the Distrib...
The development of distributed algorithms and, more generally, distributed systems, is a complex, delicate and challenging process. Refinement techniques of (system)... -
A Quest for Exactness: Program Transformation for Reliable Real Numbers
This thesis presents an algorithm that eliminates square root and division operations in some straight-line programs used in embedded systems while preserving the... -
Interaction between linear algebra and analysis in formal mathematics
In this thesis we present the formalization of three principal results that are the Jordan normal form of a matrix, the Bolzano-Weierstraß theorem, and the... -
NLCertify: A Tool for Formal Nonlinear Optimization
6 pages, 2 figures
