Method Development Unit

Project

MDU-5

Connecting Formal Mathematics and Verified Combinatorial Computing in Lean

Project Heads

Sebastian Pokutta, Christoph Spiegel

Project Members

Olivia Röhrig

Project Duration

01.09.2026 – 31.08.2029

Located at

ZIB

Description

Algorithms in combinatorics and polyhedral geometry are used across mathematics, science, and engineering, but their implementations are rarely verified. This project develops a refinement methodology for bridging abstract mathematical types to efficient executable code in Lean 4, validated through verified polyhedral and graph algorithms grounded in the community-maintained mathlib library.

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