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arXiv · 2604.20807

Formal Primal-Dual Algorithm Analysis

Mohammad Abdulaziz·Thomas Ammer·Christoph Madlener
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Abstract

We present an ongoing effort to build a framework and a library in Isabelle/HOL for formalising primal-dual arguments for the analysis of algorithms. We discuss a number of example formalisations from the theory of matching algorithms, covering classical algorithms like the Hungarian Method, widely considered the first primal-dual algorithm, and modern algorithms like the Adwords algorithm, which models the assignment of search queries to advertisers in the context of search engines.

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Mohammad Abdulaziz, Thomas Ammer, Christoph Madlener. 2026-04-22. Formal Primal-Dual Algorithm Analysis. https://arxiv.org/abs/2604.20807

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