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» Widening Integer Arithmetic
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DCC
2000
IEEE
13 years 7 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas
ICLP
2001
Springer
13 years 12 months ago
Higher-Precision Groundness Analysis
Abstract. Groundness analysis of logic programs using Pos-based abstract interpretation is one of the clear success stories of the last decade in the area of logic program analysis...
Michael Codish, Samir Genaim, Harald Sønder...
CORR
2008
Springer
106views Education» more  CORR 2008»
13 years 7 months ago
Modular difference logic is hard
In connection with machine arithmetic, we are interested in systems of constraints of the form x + k y + k . Over integers, the satisfiability problem for such systems is polynomi...
Nikolaj Bjørner, Andreas Blass, Yuri Gurevi...
CADE
2005
Springer
14 years 7 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
COCOA
2009
Springer
13 years 11 months ago
Computing the Transitive Closure of a Union of Affine Integer Tuple Relations
Abstract. This paper proposes a method to compute the transitive closure of a union of affine relations on integer tuples. Within Presburger arithmetics, complete algorithms to com...
Anna Beletska, Denis Barthou, Wlodzimierz Bielecki...