Termination of Floating-Point Computations

On Termination of Logic Programs with Floating Point Computations

Reproducible Parallel Floating-Point Computations

Because of rounding errors, floating-point operations such as addition and multiplication are not associative, computed results depend also on the order of computation. Therefore we cannot get the same answer from run-to-run even on the same machine with varying number of available processors. That makes understanding the reliability of output harder, especially with the increasing level of par...

Symbolic execution of floating-point computations

Symbolic execution is a classical program testing technique which evaluates a selected control flow path with symbolic input data. A constraint solver can be used to enforce the satisfiability of the extracted path conditions as well as to derive test data. Whenever path conditions contain floating-point computations, a common strategy consists of using a constraint solver over the rationals or...

Abstract Interpretation of Floating-Point Computations

Interpretation of Floating-Point Computations Sylvie Putot Laboratory for ModElling and Analysis of Systems in Interaction, CEA-LIST/X/CNRS Session: Static Analysis for Safety and Performance ARTIST2 MOTIVES Trento Italy, February 19-23, 2007 Sylvie Putot Laboratory for ModElling and Analysis of Systems in Interaction, CEA-LIST/X/CNRS Abst Interpretation of Floating-Point Computations

Static Analysis-Based Validation of Floating-Point Computations

Interpretation : principle α γ Abstraction Class of executions Concrete domain Abstract domain Widening Narrowing Post fixed−point