By Jacques Fleuriot
In A mixture of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot offers a formalization of Lemmas and Propositions from the Principia utilizing a mixture of equipment from geometry and nonstandard research. The mechanization of the techniques, which respects a lot of Newton's unique reasoning, is constructed in the theorem prover Isabelle. the applying of this framework to the mechanization of undemanding genuine research utilizing nonstandard recommendations can also be discussed.
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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia (Distinguished Dissertations) by Jacques Fleuriot