By Jacques Fleuriot
In A mixture of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot provides a formalization of Lemmas and Propositions from the Principia utilizing a mix of tools from geometry and nonstandard research. The mechanization of the approaches, which respects a lot of Newton's unique reasoning, is built in the theorem prover Isabelle. the appliance of this framework to the mechanization of undemanding genuine research utilizing nonstandard recommendations can 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