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» Guaranteed Proofs Using Interval Arithmetic
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ESOP
2005
Springer
14 years 1 months ago
Asserting Bytecode Safety
Abstract. We instantiate an Isabelle/HOL framework for proof carrying code to Jinja bytecode, a downsized variant of Java bytecode featuring objects, inheritance, method calls and ...
Martin Wildmoser, Tobias Nipkow
FOCM
2002
83views more  FOCM 2002»
13 years 7 months ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker
ARITH
2003
IEEE
13 years 11 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
DGCI
2005
Springer
14 years 1 months ago
Arbitrary 3D Resolution Discrete Ray Tracing of Implicit Surfaces
A new approach to ray tracing implicit surfaces based on recursive space subdivision is presented in this paper. Interval arithmetic, already used to calculate intersections in ray...
Nilo Stolte
ICFEM
2009
Springer
13 years 5 months ago
Implementing a Direct Method for Certificate Translation
Abstract. Certificate translation is a method that transforms certificates of source programs into certificates of their compilation. It provides strong guarantees on low-level cod...
Gilles Barthe, Benjamin Grégoire, Sylvain H...