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...
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...
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...
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...
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...