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CORR
2008
Springer
128views Education» more  CORR 2008»
14 years 9 months ago
A Quantifier Elimination Algorithm for Linear Real Arithmetic
We propose a new quantifier elimination algorithm for the theory of linear real arithmetic. This algorithm uses as subroutines satisfiability modulo this theory and polyhedral pro...
David Monniaux
TPHOL
2008
IEEE
15 years 4 months ago
First-Class Type Classes
Abstract. Type Classes have met a large success in Haskell and Isabelle, as a solution for sharing notations by overloading and for specith abstract structures by quantification o...
Matthieu Sozeau, Nicolas Oury
ITP
2010
156views Mathematics» more  ITP 2010»
15 years 1 months ago
The Optimal Fixed Point Combinator
In this paper, we develop a general theory of fixed point combinators, in higher-order logic equipped with Hilbert’s epsilon operator. This combinator allows for a direct and e...
Arthur Charguéraud
AMAI
2007
Springer
14 years 9 months ago
Decision procedures for extensions of the theory of arrays
The theory of arrays, introduced by McCarthy in his seminal paper “Toward a mathematical science of computation”, is central to Computer Science. Unfortunately, the theory alo...
Silvio Ghilardi, Enrica Nicolini, Silvio Ranise, D...
FROCOS
2011
Springer
13 years 9 months ago
Stochastic Local Search for SMT: Combining Theory Solvers with WalkSAT
A dominant approach to Satisfiability Modulo Theories (SMT) relies on the integration of a Conflict-Driven-Clause-Learning (CDCL) SAT solver and of a decision procedure able to h...
Alberto Griggio, Quoc-Sang Phan, Roberto Sebastian...