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ARITH
2003
IEEE
14 years 2 months ago
Representable Correcting Terms for Possibly Underflowing Floating Point Operations
Studying floating point arithmetic, authors have shown that the implemented operations (addition, subtraction, multiplication, division and square root) can compute a result and a...
Sylvie Boldo, Marc Daumas
ARITH
1999
IEEE
14 years 3 months ago
Correctness Proofs Outline for Newton-Raphson Based Floating-Point Divide and Square Root Algorithms
This paper describes a study of a class of algorithms for the floating-point divide and square root operations, based on the Newton-Raphson iterative method. The two main goals we...
Marius A. Cornea-Hasegan, Roger A. Golliver, Peter...
CAD
2004
Springer
13 years 10 months ago
ESOLID - a system for exact boundary evaluation
We present a system, ESOLID, that performs exact boundary evaluation of low-degree curved solids in reasonable amounts of time. ESOLID performs accurate Boolean operations using e...
John Keyser, Tim Culver, Mark Foskey, Shankar Kris...
POPL
2004
ACM
14 years 11 months ago
Symbolic transfer function-based approaches to certified compilation
We present a framework for the certification of compilation and of compiled programs. Our approach uses a symbolic transfer functions-based representation of programs, so as to ch...
Xavier Rival