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» Widening Integer Arithmetic
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TACAS
2009
Springer
115views Algorithms» more  TACAS 2009»
14 years 2 months ago
Iterating Octagons
Abstract. In this paper we prove that the transitive closure of a nondeterministic octagonal relation using integer counters can be expressed in Presburger arithmetic. The direct c...
Marius Bozga, Codruta Gîrlea, Radu Iosif
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
14 years 2 months ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
FROCOS
2009
Springer
14 years 2 months ago
Combining Theories with Shared Set Operations
Motivated by applications in software verification, we explore automated reasoning about the non-disjoint combination of theories of infinitely many finite structures, where the...
Thomas Wies, Ruzica Piskac, Viktor Kuncak
ISMVL
2006
IEEE
117views Hardware» more  ISMVL 2006»
14 years 1 months ago
Representations of Elementary Functions Using Binary Moment Diagrams
This paper considers representations for elementary functions such as polynomial, trigonometric, logarithmic, square root, and reciprocal functions. These real valued functions ar...
Tsutomu Sasao, Shinobu Nagayama
ARITH
2005
IEEE
14 years 1 months ago
N-Bit Unsigned Division via N-Bit Multiply-Add
Integer division on modern processors is expensive compared to multiplication. Previous algorithms for performing unsigned division by an invariant divisor, via reciprocal approxi...
Arch D. Robison