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inria-00000892, version 1
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%% inria-00000892, version 1 %% http://hal.inria.fr/inria-00000892/en/ @inproceedings{BOLDO:2005:INRIA-00000892:1, title = { {P}rovably {F}aithful {E}valuation of {P}olynomials}, author = {{B}oldo, {S}ylvie and {M}u{\~n}oz, {C}{\'e}sar}, abstract = {{W}e provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. {T}o this end, we develop a formalization of floating-point numbers and rounding modes in the {P}rogram {V}erification {S}ystem ({PVS}). {O}ur work is based on a well-known formalization of floating-point arithmetic in the proof assistant {C}oq, where polynomial evaluation has been already studied. {H}owever, thanks to the powerful proof automation provided by {PVS}, the sufficient conditions proposed in our work are more general than the original ones.}, language = {{A}nglais}, affiliation = {{PROVAL} - {INRIA} {F}uturs - {INRIA} - {U}niversit{\'e} {P}aris {S}ud - {P}aris {XI} - {N}ational {I}nstitute of {A}erospace - {NIA} - {NIA} }, booktitle = {21st {A}nnual {ACM} {S}ymposium on {A}pplied {C}omputing }, address = {{D}ijon, {F}rance }, note = {{B}.: {H}ardware/{B}.2: {ARITHMETIC} {AND} {LOGIC} {STRUCTURES}/{B}.2.3: {R}eliability, {T}esting, and {F}ault-{T}olerance, {F}.: {T}heory of {C}omputation/{F}.4: {MATHEMATICAL} {LOGIC} {AND} {FORMAL} {LANGUAGES} }, audience = {non sp{\'e}cifi{\'e}e }, month = {04}, year = {2006}, URL = {http://hal.inria.fr/inria-00000892/en/}, URL = {http://hal.inria.fr/inria-00000892/PDF/main.pdf}, }
%F inria-00000892, version 1 %0 Conference Proceedings %U http://hal.inria.fr/inria-00000892/en/ %2 INFO:INFO_LO;INFO:INFO_NA %T Provably Faithful Evaluation of Polynomials %A Boldo, Sylvie %A Muñoz, César %A Boldo, S. %A Muñoz, C. %A Boldo S. et al %+ PROVAL - INRIA Futurs - INRIA - Université Paris Sud - Paris XI - National Institute of Aerospace - NIA - NIA %X We provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. To this end, we develop a formalization of floating-point numbers and rounding modes in the Program Verification System (PVS). Our work is based on a well-known formalization of floating-point arithmetic in the proof assistant Coq, where polynomial evaluation has been already studied. However, thanks to the powerful proof automation provided by PVS, the sufficient conditions proposed in our work are more general than the original ones. %2 B.: Hardware/B.2: ARITHMETIC AND LOGIC STRUCTURES/B.2.3: Reliability, Testing, and Fault-Tolerance, F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES %G Anglais %8 2006-04 %2 non spécifiée %B 21st Annual ACM Symposium on Applied Computing %2 Dijon, France %8 2006-04
Communications avec acte
Sylvie
Boldo
INRIA Futurs
PROVAL
FR
INRIA
Université Paris Sud - Paris XI
César
Muñoz
NIA
National Institute of Aerospace
US
NIA
Provably Faithful Evaluation of Polynomials
21st Annual ACM Symposium on Applied Computing
Dijon
France
2006-04
http://hal.inria.fr/inria-00000892/en/
http://hal.inria.fr/inria-00000892/PDF/main.pdf
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