Year: 2024
Type: preprint
Abstract: Linear programming describes the problem of optimising a linear objective function over a set of constraints on its variables. In this paper we present a solver for linear programs implemented in the proof assistant Isabelle/HOL. This allows formally proving its soundness, termination, and other properties. We base these results on a previous formalisation of the simplex algorithm which does not take optimisation problems into account. Using the weak duality theorem of linear programming we obtain an algorithm for solving linear programs. Using Isabelle's code generation mechanism we can generate an external solver for linear programs.
Source: arXiv (Cornell University)
Author: Parsert, Julian
Institutions: Universität Innsbruck, University of Oxford
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funder: H2020 European Research Council
OpenAlex ID: W4393336236