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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
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
13 years 11 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
MP
2008
135views more  MP 2008»
13 years 7 months ago
A path to the Arrow-Debreu competitive market equilibrium
: We present polynomial-time interior-point algorithms for solving the Fisher and Arrow-Debreu competitive market equilibrium problems with linear utilities and n players. Both of ...
Yinyu Ye
AML
2008
124views more  AML 2008»
13 years 7 months ago
The elementary computable functions over the real numbers: applying two new techniques
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether def...
Manuel Lameiras Campagnolo, Kerry Ojakian
KBSE
2000
IEEE
13 years 11 months ago
Simultaneous Checking of Completeness and Ground Confluence
c specifications provide a powerful method for the specification of abstract data types in programming languages and software systems. Completeness and ground confluence are fundam...
Adel Bouhoula