Verified Approximation Algorithms


Title: Verified Approximation Algorithms
Authors: Robin Eßmann (robin /dot/ essmann /at/ tum /dot/ de), Tobias Nipkow and Simon Robillard
Submission date: 2020-01-16
Abstract: We present the first formal verification of approximation algorithms for NP-complete optimization problems: vertex cover, set cover, independent set, load balancing, and bin packing. The proofs correct incompletenesses in existing proofs and improve the approximation ratio in one case. A detailed description of our work has been published in the proceedings of IJCAR 2020.
  author  = {Robin Eßmann and Tobias Nipkow and Simon Robillard},
  title   = {Verified Approximation Algorithms},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2020,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License