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Titlebook: Automated Deduction - CADE-15; 15th International C Claude Kirchner,Hélène Kirchner Conference proceedings 1998 Springer-Verlag Berlin Heid

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https://doi.org/10.1007/978-94-015-7706-9 quantities can be infinitely small or infinitesimal. We reveal and prove new properties of this geometry that only hold because infinitesimal elements are allowed and use them to prove lemmas and theorems from the Principia.
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,A combination of nonstandard analysis and geometry theorem proving, with application to Newton’s Pr quantities can be infinitely small or infinitesimal. We reveal and prove new properties of this geometry that only hold because infinitesimal elements are allowed and use them to prove lemmas and theorems from the Principia.
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0302-9743 , in July 1998..The volume presents three invited contributions together with 25 revised full papers and 10 revised system descriptions; these were selected from a total of 120 submissions. The papers address all current issues in automated deduction and theorem proving based on resolution, superpos
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Extensional higher-order resolution,mplentation of the calculus in the LEO-System shows. Furthermore, we prove the long-standing conjecture, that it is sufficient to restrict the order of primitive substitutions to the order of input formulae.
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