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» Certifying floating-point implementations using Gappa
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MKM
2009
Springer
13 years 11 months ago
Combining Coq and Gappa for Certifying Floating-Point Programs
Abstract. Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floatingpoint arithmetic, such as Gappa...
Sylvie Boldo, Jean-Christophe Filliâtre, Gui...
CORR
2008
Springer
105views Education» more  CORR 2008»
13 years 4 months ago
Certifying floating-point implementations using Gappa
High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, ...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 4 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