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» On the Algebraic Structure of Convergence
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DSOM
2003
Springer
13 years 10 months ago
On the Algebraic Structure of Convergence
Abstract. Current self-healing systems are built from “convergent” actions that only make repairs when necessary. Using an algebraic model of system administration, we challeng...
Alva L. Couch, Yizhan Sun
ADG
2006
Springer
204views Mathematics» more  ADG 2006»
13 years 11 months ago
Algorithmic Search for Flexibility Using Resultants of Polynomial Systems
This paper describes the recent convergence of four topics: polynomial systems, flexibility of three dimensional objects, computational chemistry, and computer algebra. We discuss...
Robert H. Lewis, Evangelos A. Coutsias
ACS
2007
13 years 5 months ago
Algebra and Geometry of Rewriting
We present various results of the last twenty years converging towards a homotopical theory of computation. This new theory is based on two crucial notions : polygraphs (introduce...
Yves Lafont
FSS
2008
82views more  FSS 2008»
13 years 5 months ago
Lattice-valued convergence spaces and regularity
: We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity ...
Gunther Jäger