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CC
2004
Springer
134views System Software» more  CC 2004»
13 years 8 months ago
Widening Integer Arithmetic
Abstract. Some codes require computations to use fewer bits of precision than are normal for the target machine. For example, Java requires 32-bit arithmetic even on a 64-bit targe...
Kevin Redwine, Norman Ramsey
CAV
2004
Springer
96views Hardware» more  CAV 2004»
13 years 10 months ago
Widening Arithmetic Automata
Model checking of infinite state systems is undecidable, therefore, there are instances for which fixpoint computations used in infinite state model checkers do not converge. Gi...
Constantinos Bartzis, Tevfik Bultan
CADE
2012
Springer
11 years 7 months ago
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Abstract. This paper describes a novel decision procedure for quantifierfree linear integer arithmetic. Standard techniques usually relax the initial problem to the rational domai...
François Bobot, Sylvain Conchon, Evelyne Co...
CADE
2012
Springer
11 years 7 months ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur
BIRTHDAY
2009
Springer
13 years 11 months ago
Polynomial Precise Interval Analysis Revisited
We consider a class of arithmetic equations over the complete lattice of integers (extended with −∞ and ∞) and provide a polynomial time algorithm for computing least solutio...
Thomas Gawlitza, Jérôme Leroux, Jan R...