Email Gateway (Aug 22 2022 at 13:58): Email Gateway (Aug 22 2022 at 13:58):From: Lawrence Paulson <lp15@cam.ac.uk>
We have yet another impressive contribution to the AFP: a formalisation of some classic algorithms for maximising flows in networks. Abstract below, the entry itself is at the URL https://www.isa-afp.org/entries/EdmondsKarp_Maxflow.shtml
Larry Paulson
Formalizing the Edmonds-Karp Algorithm
Peter Lammich and S. Reza Sefidgar
We present a formalization of the Ford-Fulkerson method for computing the maximum flow in a network. Our formal proof closely follows a standard textbook proof, and is accessible even without being an expert in Isabelle/HOL--- the interactive theorem prover used for the formalization. We then use stepwise refinement to obtain the Edmonds-Karp algorithm, and formally prove a bound on its complexity. Further refinement yields a verified implementation, whose execution time compares well to an unverified reference implementation in Java. This entry is based on our ITP-2016 paper with the same title.
Last updated: Apr 20 2024 at 04:19 UTC