Sciweavers

541 search results - page 1 / 109
» Applications of nonstandard analysis in additive number theo...
Sort
View
CADE
1998
Springer
14 years 25 days ago
A Combination of Nonstandard Analysis and Geometry Theorem Proving, with Application to Newton's Principia
Abstract. The theorem prover Isabelle is used to formalise and reproduce some of the styles of reasoning used by Newton in his Principia. The Principia's reasoning is resolute...
Jacques D. Fleuriot, Lawrence C. Paulson
AML
2002
69views more  AML 2002»
13 years 8 months ago
Transfer principles in nonstandard intuitionistic arithmetic
Using a slight generalization, due to Palmgren, of sheaf semantics, we present a term-model construction that assigns a model to any first-order intuitionistic theory. A modificat...
J. Avigad, Jeremy Helzner
INTEGRATION
2008
191views more  INTEGRATION 2008»
13 years 8 months ago
Constant-time addition with hybrid-redundant numbers: Theory and implementations
Abstract: Hybrid-redundant number representation has provided a flexible framework for digitparallel addition in a manner that facilitates area-time tradeoffs for VLSI implementati...
Ghassem Jaberipur, Behrooz Parhami
JAR
2007
83views more  JAR 2007»
13 years 8 months ago
Theory Extension in ACL2(r)
ACL2(r) is a modified version of the theorem prover ACL2 that adds support for the irrational numbers using non-standard analysis. It has been used to prove basic theorems of anal...
Ruben Gamboa, John R. Cowles