On the Formalization of the Lebesgue Integration Theory in HOL

@inproceedings{Mhamdi2010OnTF,
  title={On the Formalization of the Lebesgue Integration Theory in HOL},
  author={Tarek Mhamdi and Osman Hasan and Sofi{\`e}ne Tahar},
  booktitle={ITP},
  year={2010}
}
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theories. Reported higher-order-logic formalizations of the Lebesgue integral either do not include, or have a limited support for the Borel algebra, which is the canonical sigma algebra used on any metric space over which the Lebesgue integral is defined. In this report, we overcome this limitation by presenting a formalization of the Borel sigma algebra that can be… CONTINUE READING