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» A correct proof of the heuristic GCD algorithm
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CADE
2006
Springer
14 years 5 months ago
Proving Formally the Implementation of an Efficient gcd Algorithm for Polynomials
We describe here a formal proof in the Coq system of the structure theorem for subresultants, which allows to prove formally the correctness of our implementation of the subresulta...
Assia Mahboubi
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Half-GCD and fast rational recovery
Over the past few decades several variations on a “half GCD” algorithm for obtaining the pair of terms in the middle of a Euclidean sequence have been proposed. In the integer...
Daniel Lichtblau
ANTS
2004
Springer
149views Algorithms» more  ANTS 2004»
13 years 10 months ago
A Binary Recursive Gcd Algorithm
The binary algorithm is a variant of the Euclidean algorithm that performs well in practice. We present a quasi-linear time recursive algorithm that computes the greatest common di...
Damien Stehlé, Paul Zimmermann
INFORMATICALT
2010
103views more  INFORMATICALT 2010»
13 years 3 months ago
Formal Correctness Proof for DPLL Procedure
The DPLL procedure for the SAT problem is one of the fundamental algorithms in computer science, with many applications in a range of domains, including software and hardware veri...
Filip Maric, Predrag Janicic