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SAS
2005
Springer
132views Formal Methods» more  SAS 2005»
13 years 10 months ago
Generation of Basic Semi-algebraic Invariants Using Convex Polyhedra
A technique for generating invariant polynomial inequalities of bounded degree is presented using the abstract interpretation framework. It is based on overapproximating basic semi...
Roberto Bagnara, Enric Rodríguez-Carbonell,...
DISOPT
2007
109views more  DISOPT 2007»
13 years 5 months ago
Sequential pairing of mixed integer inequalities
We present a scheme for generating new valid inequalities for mixed integer programs by taking pairwise combinations of existing valid inequalities. Our scheme is related to mixed...
Yongpei Guan, Shabbir Ahmed, George L. Nemhauser
CORR
2011
Springer
155views Education» more  CORR 2011»
12 years 8 months ago
On the Generation of Positivstellensatz Witnesses in Degenerate Cases
One can reduce the problem of proving that a polynomial is nonnegative, or more generally of proving that a system of polynomial inequalities has no solutions, to finding polynomi...
David Monniaux, Pierre Corbineau
IJCAI
1997
13 years 6 months ago
Mini-Buckets: A General Scheme for Generating Approximations in Automated Reasoning
The class of algorithms for approximating reasoning tasks presented in this paper is based on approximating the general bucket elimination framework. The algorithms have adjustabl...
Rina Dechter
SODA
2008
ACM
138views Algorithms» more  SODA 2008»
13 years 6 months ago
Fully polynomial time approximation schemes for stochastic dynamic programs
We develop a framework for obtaining Fully Polynomial Time Approximation Schemes (FPTASs) for stochastic univariate dynamic programs with either convex or monotone single-period c...
Nir Halman, Diego Klabjan, Chung-Lun Li, James B. ...