@phdthesis{cohen:pastel-00780446, TITLE = {{Formalized algebraic numbers: construction and first-order theory.}}, AUTHOR = {Cohen, Cyril}, URL = {https://pastel.hal.science/pastel-00780446}, SCHOOL = {{Ecole Polytechnique X}}, YEAR = {2012}, MONTH = Nov, KEYWORDS = {Formal proof ; Formalization of mathematics ; Small scale reflection ; Algebraic numbers ; Constructive mathematics ; Quantifier elimination ; Real numbers ; Coq ; Preuve formelle ; Formalisation des math{\'e}matiques ; R{\'e}flexion {\`a} petite {\'e}chelle ; Nombres alg{\'e}briques ; Math{\'e}matiques constructives ; {\'E}liminiation des quantificateurs ; Nombres r{\'e}els}, TYPE = {Theses}, PDF = {https://pastel.hal.science/pastel-00780446/file/main.pdf}, HAL_ID = {pastel-00780446}, HAL_VERSION = {v1}, }