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» Constructive analysis, types and exact real numbers
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TPHOL
2005
IEEE
14 years 1 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
NDJFL
2000
97views more  NDJFL 2000»
13 years 7 months ago
Neo-Fregean Foundations for Real Analysis: Some Reflections on Frege's Constraint
now of a number of ways of developing Real Analysis on a basis of abstraction principles and second-order logic. One, outlined by Shapiro in his contribution to this volume, mimic...
Crispin Wright
CORR
2007
Springer
96views Education» more  CORR 2007»
13 years 7 months ago
New Complexity Bounds for Certain Real Fewnomial Zero Sets
d Abstract) Frederic Bihan∗ Joel Gomez† Andrew Niles‡ J. Maurice Rojas§ January 24, 2007 Rojas dedicates this paper to his friend, Professor Tien-Yien Li. Consider real biv...
Joel Gomez, Andrew Niles, J. Maurice Rojas
DCG
2002
106views more  DCG 2002»
13 years 7 months ago
Perpendicular Dissections of Space
For each pair (Qi, Qj) of reference points and each real number r there is a unique hyperplane h QiQj such that d(P, Qi)2 - d(P, Qj)2 = r for points P in h. Take n reference point...
Thomas Zaslavsky
PLDI
1997
ACM
13 years 11 months ago
Incremental Analysis of real Programming Languages
A major research goal for compilers and environments is the automatic derivation of tools from formal specifications. However, the formal model of the language is often inadequat...
Tim A. Wagner, Susan L. Graham