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» Combining programming with theorem proving
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MP
2008
91views more  MP 2008»
13 years 7 months ago
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
We analyze the rate of local convergence of the augmented Lagrangian method for nonlinear semidefinite optimization. The presence of the positive semidefinite cone constraint requ...
Defeng Sun, Jie Sun, Liwei Zhang
CADE
2007
Springer
14 years 8 months ago
T-Decision by Decomposition
Much research concerning Satisfiability Modulo Theories is devoted to the design of efficient SMT-solvers that integrate a SATsolver with T -satisfiability procedures. The rewrite-...
Maria Paola Bonacina, Mnacho Echenim
LPAR
2007
Springer
14 years 1 months ago
Extending a Resolution Prover for Inequalities on Elementary Functions
Abstract. Experiments show that many inequalities involving exponentials and logarithms can be proved automatically by combining a resolution theorem prover with a decision procedu...
Behzad Akbarpour, Lawrence C. Paulson
JSC
2010
120views more  JSC 2010»
13 years 6 months ago
Theory decision by decomposition
The topic of this article is decision procedures for satisfiability modulo theories (SMT) of arbitrary quantifier-free formulæ. We propose an approach that decomposes the formu...
Maria Paola Bonacina, Mnacho Echenim
ICSE
2003
IEEE-ACM
14 years 8 months ago
Modular Verification of Software Components in C
We present a new methodology for automatic verification of C programs against finite state machine specifications. Our approach is compositional, naturally enabling us to decompos...
Sagar Chaki, Edmund M. Clarke, Alex Groce, Somesh ...