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» Elementary arithmetic
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APAL
2008
63views more  APAL 2008»
13 years 5 months ago
A standard model of Peano arithmetic with no conservative elementary extension
The principal result of this paper answers a long-standing question in the model theory of arithmetic [KS, Question 7] by showing that there exists an uncountable arithmetically cl...
Ali Enayat
ARITH
2001
IEEE
13 years 8 months ago
Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Vincent Lefèvre, Jean-Michel Muller
IJON
1998
82views more  IJON 1998»
13 years 4 months ago
Solving arithmetic problems using feed-forward neural networks
We design new feed-forward multi-layered neural networks which perform di erent elementary arithmetic operations, such as bit shifting, addition of N p-bit numbers, and multiplica...
Leonardo Franco, Sergio A. Cannas
APAL
2005
119views more  APAL 2005»
13 years 4 months ago
Elementary arithmetic
Abstract. There is a very simple way in which the safe/normal variable discipline of Bellantoni-Cook recursion (1992) can be imposed on arithmetical theories like PA: quantify over...
Geoffrey E. Ostrin, Stanley S. Wainer
DAGSTUHL
2008
13 years 6 months ago
Interval Arithmetic and Standardization
Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are intervals of real numbers with floating-point bounds. Operations for intervals can be efficient...
Jürgen Wolff von Gudenberg