Thi Minh Tuyen Nguyen

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On recent architectures, a numerical program may give different answers depending on the execution hardware and the compilation. Our goal is to formally prove properties about numerical programs that are true for multiple architectures and compilers. We propose an approach that states the rounding error of each floating-point computation whatever the(More)
On certain recently developed architectures, a numerical program may give different answers depending on the execution hardware and the compilation. Our goal is to formally prove properties about numerical programs that are true for multiple architectures and compilers. We propose an approach that states the rounding error of each floating-point computation(More)
Preuves formelles de programmes numériques en prenant en compte l'architecture et le compilateur Acknowledgements This thesis is the result of more than three years of work under the supervision of Sylvie Boldo and Claude Marché, to who I would like to express my sincere gratitude. They gave me a chance to work in a big team. I would like to thank to Sylvie(More)
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