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» Widening Integer Arithmetic
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CADE
2007
Springer
14 years 7 months ago
A Sequent Calculus for Integer Arithmetic with Counterexample Generation
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedur...
Philipp Rümmer
CORR
2007
Springer
110views Education» more  CORR 2007»
13 years 7 months ago
Computing Integer Powers in Floating-Point Arithmetic
We introduce two algorithms for accurately evaluating powers to a positive integer in floating-point arithmetic, assuming a fused multiply-add (fma) instruction is available. We ...
Peter Kornerup, Vincent Lefèvre, Jean-Miche...
FMCAD
2006
Springer
13 years 11 months ago
Ario: A Linear Integer Arithmetic Logic Solver
Ario is a solver for systems of linear integer arithmetic logic. Such systems are commonly used in design verification applications and are classified under Satisfiability Modulo T...
Hossein M. Sheini, Karem A. Sakallah
SAS
2007
Springer
112views Formal Methods» more  SAS 2007»
14 years 1 months ago
Taming the Wrapping of Integer Arithmetic
Variables in programs are usually confined to a fixed number of bits and results that require more bits are truncated. Due to the use of 32-bit and 64-bit variables, inadvertent ...
Axel Simon, Andy King