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PDPTA
2003
15 years 4 months ago
Quaternary Arithmetic Logic Unit on a Programmable Logic Device
Common binary arithmetic operations such as addition/subtraction and multiplication suffer from O(n) carry propagation delay where n is the number of digits. Carry lookahead helps...
Songpol Ongwattanakul, Phaisit Chewputtanagul, Dav...
COMPUTING
2006
100views more  COMPUTING 2006»
15 years 3 months ago
Interval Arithmetic with Containment Sets
The idea of containment sets (csets) is due to Walster and Hansen, and the theory is mainly due to the first author. Now that floating point computation with infinities is widely a...
John D. Pryce, George F. Corliss
DAC
2005
ACM
16 years 4 months ago
MiniBit: bit-width optimization via affine arithmetic
MiniBit, our automated approach for optimizing bit-widths of fixed-point designs is based on static analysis via affine arithmetic. We describe methods to minimize both the intege...
Dong-U Lee, Altaf Abdul Gaffar, Oskar Mencer, Wayn...
85
Voted
AIED
2005
Springer
15 years 9 months ago
DIANE, a diagnosis system for arithmetical problem solving
We hereby describe DIANE an environment that aims at performing an automatic diagnosis on arithmetic problems depending on the productions of the learners. This work relies on resu...
Khider Hakem, Emmanuel Sander, Jean-Marc Labat, Je...
129
Voted
FMCAD
2009
Springer
15 years 10 months ago
Decision diagrams for linear arithmetic
—Boolean manipulation and existential quantification of numeric variables from linear arithmetic (LA) formulas is at the core of many program analysis and software model checkin...
Sagar Chaki, Arie Gurfinkel, Ofer Strichman