International audienceFor a long time, formal methods have ignored floating-point computations. About ten years ago this has changed, and today specification languages and tools are in use in research and pre-industrial contexts. Better late than never: the B method, which has been the first formal method to prove real-size software, will soon be able to prove the correctness of floating-point computations. This paper gives the motivations, the philosophy and the first impacts on the AtelierB tool
International audienceThe process of proving some mathematical theorems can be greatly reduced by re...
International audienceWe present a full Coq formalisation of the correctness of some comparison algo...
At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scient...
International audienceThe most well-known feature of floating-point arithmetic is the limited precis...
International audienceHigh confidence in floating-point programs requires proving numerical properti...
Floating-point computations are quickly finding their way in the design of safety- and mission-crit...
An effective approach to handling the theory of floating-point is to reduce it to the theory of bit-...
Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computatio...
This paper presents an implementation of an extension of the ACSL specication language in the Frama-...
International audienceFloating-point arithmetic is known to be tricky: roundings, formats, exception...
International audienceWe report on a case study that was conducted as part of an industrial research...
This dissertation is about verifying the correctness of low-level computer programs.This is challeng...
Short paper, 4 pagesInternational audienceConstraint solving over floating-point numbers is an emerg...
Floating-point computations are quickly finding their way in the design of safety- and mission-crit...
International audienceSeveral formalizations of floating-point arithmetic have been designed for the...
International audienceThe process of proving some mathematical theorems can be greatly reduced by re...
International audienceWe present a full Coq formalisation of the correctness of some comparison algo...
At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scient...
International audienceThe most well-known feature of floating-point arithmetic is the limited precis...
International audienceHigh confidence in floating-point programs requires proving numerical properti...
Floating-point computations are quickly finding their way in the design of safety- and mission-crit...
An effective approach to handling the theory of floating-point is to reduce it to the theory of bit-...
Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computatio...
This paper presents an implementation of an extension of the ACSL specication language in the Frama-...
International audienceFloating-point arithmetic is known to be tricky: roundings, formats, exception...
International audienceWe report on a case study that was conducted as part of an industrial research...
This dissertation is about verifying the correctness of low-level computer programs.This is challeng...
Short paper, 4 pagesInternational audienceConstraint solving over floating-point numbers is an emerg...
Floating-point computations are quickly finding their way in the design of safety- and mission-crit...
International audienceSeveral formalizations of floating-point arithmetic have been designed for the...
International audienceThe process of proving some mathematical theorems can be greatly reduced by re...
International audienceWe present a full Coq formalisation of the correctness of some comparison algo...
At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scient...