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Formalized algebraic numbers: construction and first-order theory.
This thesis presents a formalization of algebraic numbers and their theory. It brings two new important contributions to the formalization of mathematical results in... -
Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasian...
An algebra of germs of real functions is generalised quasianalytic if to each element of the algebra we can associate, injectively, a power series with nonnegative... -
Model-completion of scaled lattices
27 pages -
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...
