Trustworthy Graph Algorithms (Invited Talk)

The goal of the LEDA project was to build an easy-to-use and extendable library of correct and efficient data structures, graph algorithms and geometric algorithms. We report on the use of formal program verification to achieve an even higher level of trustworthiness. Specifically, we report on an ongoing and largely finished verification of the blossom-shrinking algorithm for maximum cardinality matching.

Authors

• Mohammad Abdulaziz
• Kurt Mehlhorn
• Tobias Nipkow

Keywords

• graph algorithms
• formal correct proofs
• Isabelle
• LEDA
• certifying algorithms