Download A Combination of Geometry Theorem Proving and Nonstandard by Jacques Fleuriot PDF

By Jacques Fleuriot

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) encompasses a prose-style mix of geometric and restrict reasoning that has usually been considered as logically vague.
In A mixture of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot provides a formalization of Lemmas and Propositions from the Principia utilizing a mixture of tools from geometry and nonstandard research. The mechanization of the approaches, 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 ordinary genuine research utilizing nonstandard strategies can also be discussed.

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