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» A novel approach to symbolic algebra
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PPDP
2007
Springer
15 years 3 months ago
Higher-order semantic labelling for inductive datatype systems
We give a novel transformation for proving termination of higher-order rewrite systems in the format of Inductive Data Type Systems (IDTSs) by Blanqui, Jouannaud and Okada. The tr...
Makoto Hamana
COMPGEOM
1997
ACM
15 years 1 months ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...
SIGMOD
2006
ACM
112views Database» more  SIGMOD 2006»
15 years 9 months ago
Join minimization in XML-to-SQL translation: an algebraic approach
Consider an XML view defined over a relational database, and a user query specified over this view. This user XML query is typically processed using the following steps: (a) our t...
Murali Mani, Song Wang, Daniel J. Dougherty, Elke ...
DDECS
2006
IEEE
88views Hardware» more  DDECS 2006»
15 years 3 months ago
Minimization of Large State Spaces using Symbolic Branching Bisimulation
Abstract: Bisimulations in general are a powerful concept to minimize large finite state systems regarding some well-defined observational behavior. In contrast to strong bisimul...
Ralf Wimmer, Marc Herbstritt, Bernd Becker
70
Voted
ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
15 years 3 months 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