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» Mixed abstractions for floating-point arithmetic
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TC
2011
13 years 1 months ago
Exact and Approximated Error of the FMA
Abstract—The fused multiply accumulate-add (FMA) instruction, specified by the IEEE 754-2008 Standard for Floating-Point Arithmetic, eases some calculations, and is already avai...
Sylvie Boldo, Jean-Michel Muller
ISCAS
2006
IEEE
107views Hardware» more  ISCAS 2006»
14 years 2 days ago
A versatile computation module for adaptable multimedia processors
—This paper describes a low cost, low power, versatile computation module that can be used as a coarse-grain building block in multimedia processors. The module, which has a data...
Yunan Xiang, R. Pettibon, Martin Margala
DAC
1996
ACM
13 years 10 months ago
Bit-Level Analysis of an SRT Divider Circuit
Abstract-- It is impractical to verify multiplier or divider circuits entirely at the bit-level using ordered Binary Decision Diagrams (BDDs), because the BDD representations for t...
Randal E. Bryant
CADE
2006
Springer
14 years 6 months ago
Verifying Mixed Real-Integer Quantifier Elimination
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
Amine Chaieb
CSL
2008
Springer
13 years 7 months ago
Fractional Collections with Cardinality Bounds, and Mixed Linear Arithmetic with Stars
Abstract. We present decision procedures for logical constraints involving collections such as sets, multisets, and fuzzy sets. Element membership in our collections is given by ch...
Ruzica Piskac, Viktor Kuncak