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» Semantics of Exact Real Arithmetic
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DAGSTUHL
2008
13 years 9 months ago
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Abstract. A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double ...
Frithjof Blomquist, Werner Hofschuster, Walter Kr&...
JUCS
2010
152views more  JUCS 2010»
13 years 2 months ago
Compositional Semantics of Dataflow Networks with Query-Driven Communication of Exact Values
: We develop and study the concept of dataflow process networks as used for example by Kahn to suit exact computation over data types related to real numbers, such as continuous fu...
Michal Konecný, Amin Farjudian
CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 7 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
DEXA
2000
Springer
76views Database» more  DEXA 2000»
13 years 11 months ago
Semantic Verification of Rule-Based Systems with Arithmetic Constraints
The aim of this paper is to show a method that is able to detect a particular class of semantic inconsistencies in a rule-based system (RBS). A semantic inconsistency is defined by...
Jaime Ramírez, Angélica de Antonio
JUCS
2010
109views more  JUCS 2010»
13 years 2 months ago
Semantics of Query-Driven Communication of Exact Values
: We address the question of how to communicate among distributed processes values such as real numbers, continuous functions and geometrical solids with arbitrary precision, yet e...
Michal Konecný, Amin Farjudian