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IJAIT
2006
106views more  IJAIT 2006»
13 years 7 months ago
An Empirical Evaluation of Automated Theorem Provers in Software Certification
We describe a system for the automated certification of safety properties of NASA software. The system uses Hoare-style program verification technology to generate proof obligatio...
Ewen Denney, Bernd Fischer 0002, Johann Schumann
TCS
2008
13 years 7 months ago
Polyhedra genus theorem and Euler formula: A hypermap-formalized intuitionistic proof
This article presents formalized intuitionistic proofs for the polyhedra genus theorem, the Euler formula and a sufficient condition of planarity. They are based on a hypermap mod...
Jean-François Dufourd
DAM
1998
85views more  DAM 1998»
13 years 7 months ago
Separability Generalizes Dirac's Theorem
In our study of the extremities of a graph, we define a moplex as a maximal clique module the neighborhood of which is a minimal separator of the graph. This notion enables us to...
Anne Berry, Jean Paul Bordat
MPC
2010
Springer
147views Mathematics» more  MPC 2010»
14 years 14 days ago
Designing an Algorithmic Proof of the Two-Squares Theorem
We show a new and constructive proof of the two-squares theorem, based on a somewhat unusual, but very effective, way of rewriting the so-called extended Euclid’s algorithm. Rat...
João F. Ferreira
FOCS
2004
IEEE
13 years 11 months ago
An Approximate Max-Steiner-Tree-Packing Min-Steiner-Cut Theorem
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Lap Chi Lau