Hammering Floating-Point Arithmetic
, 2023 AbstractSledgehammer, a component of the interactive proof assistant Isabelle/HOL, aims to increase proof automation by automatically discharging proof goals with the help of external provers. Among these provers are a group of satisfiability modulo theories (SMT) solvers with support for the SMT-LIB input language.
Olle Torstensson, Tjark Weber
openaire +4 more sources
Maximum network flow with floating point arithmetic [PDF]
Information Processing Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Althaus, E., Mehlhorn, K.
openaire +4 more sources
Exploiting Structure in Floating-Point Arithmetic [PDF]
, 2016 The analysis of algorithms in IEEE floating-point arithmetic is most often carried out via repeated applications of the so-called standard model, which bounds the relative error of each basic operation by a common epsilon depending only on the format. While this approach has been eminently useful for establishing many accuracy and stability results, it
Jeannerod, Claude-Pierre +1 more
openaire +5 more sources
Trans-floating-point arithmetic removes nine quadrillion redundancies from 64-bit IEEE 754 floating-point arithmetic [PDF]
, 2014 IEEE 754 floating-point arithmetic is widely used in modern, general-purpose computers. It is based on real arithmetic and is made total by adding both a positive and a negative infinity, a negative zero, and many Not-a-Number (NaN) states.
Anderson, James A.D.W.
core +10 more sources
Handbook of Floating-Point Arithmetic [PDF]
, 2010 International audienceThis handbook is a definitive guide to the effective use of modern floating-point arithmetic. Floating-point arithmetic has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to ...
Muller, Jean-Michel +8 more
openaire +3 more sources
A unified closed-loop stability measure for finite-precision digital controller realizations implemented in different representation schemes [PDF]
, 2003 A computationally tractable unified finite word length closed-loop stability measure is derived which is applicable to fixed-point, floating-point and block- floating-point representation schemes.
Whidborne, James F. +7 more
core +3 more sources
Design and Implementation of Numerical Linear Algebra Algorithms on Fixed Point DSPs
EURASIP Journal on Advances in Signal Processing, 2007 Numerical linear algebra algorithms use the inherent elegance of matrix formulations and are usually implemented using C/C++ floating point representation.
Nguyen Ha Thai +2 more
doaj +2 more sources
Optimal Realizations of Floating-Point Implemented Digital Controllers with Finite Word Length Considerations [PDF]
, 2004 The closed-loop stability issue of finite-precision realizations is investigated for digital controllers implemented in floating-point arithmetic.
Chu, J. +3 more
core +2 more sources
A Unified Flash Memory Platform for Mode-Adaptive and Robust AI Computation. [PDF]
Adv Sci (Weinh)A unified AND‐type flash memory platform enables both transistor‐mode and capacitor‐mode computing‐in‐memory operations within the same device structure. By selectively switching the sensing mode through peripheral reconfiguration, the platform provides adaptable trade‐offs between computational accuracy, robustness, and energy efficiency for AI ...
Yu D +6 more
europepmc +2 more sources
Implementation of a Fuel Estimation Algorithm Using Approximated Computing
Journal of Low Power Electronics and Applications, 2022 The rising concerns about global warming have motivated the international community to take remedial actions to lower greenhouse gas emissions. The transportation sector is believed to be one of the largest air polluters.
Imed Ben Dhaou
doaj +1 more source