Verified Approximation Algorithms

We present the first formal verification of approximation algorithms for NP-complete optimization problems: vertex cover, independent set, set cover, center selection, load balancing, and bin packing. We uncover incompletenesses in existing proofs and improve the approximation ratio in one case. All...

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Bibliographic Details
Main Authors: Robin Eßmann, Tobias Nipkow, Simon Robillard, Ujkan Sulejmani
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2022-03-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/7416/pdf