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ICDE
2004
IEEE
89views Database» more  ICDE 2004»
14 years 8 months ago
Nested Queries and Quantifiers in an Ordered Context
We present algebraic equivalences that allow to unnest nested algebraic expressions for order-preserving algebraic operators. We illustrate how these equivalences can be applied s...
Norman May, Sven Helmer, Guido Moerkotte
CIE
2010
Springer
13 years 7 months ago
Computable Ordered Abelian Groups and Fields
Abstract. We present transformations of linearly ordered sets into ordered abelian groups and ordered fields. We study effective properties of the transformations. In particular, w...
Alexander G. Melnikov
ISSAC
1992
Springer
95views Mathematics» more  ISSAC 1992»
13 years 11 months ago
Real Algebraic Closure of an Ordered Field: Implementation in Axiom
Real algebraic numbers appear in many Computer Algebra pro bJems. For inst ante the determination of a cylindrical algebraic decomposition for an euclidian space requires compu ti...
Renaud Rioboo
IPPS
2007
IEEE
14 years 1 months ago
Decomposing Partial Order Execution Graphs to Improve Message Race Detection
In message-passing parallel applications, messages are not delivered in a strict order. In most applications, the computation results and the set of messages produced during the e...
Basile Schaeli, Sebastian Gerlach, Roger D. Hersch
ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
14 years 26 days ago
Generalized normal forms and polynomial system solving
This paper describes a new method for computing the normal form of a polynomial modulo a zero-dimensional ideal I. We give a detailed description of the algorithm, a proof of its ...
Bernard Mourrain