FMplex: A Novel Method for Solving Linear Real Arithmetic Problems

In this paper we introduce a novel quantifier elimination method for conjunctions of linear real arithmetic constraints. Our algorithm is based on the Fourier-Motzkin variable elimination procedure, but by case splitting we are able to reduce the worst-case complexity from doubly to singly exponenti...

Full description

Saved in:

Bibliographic Details
Published in:	arXiv.org
Main Authors:	Nalbach, Jasper, Promies, Valentin, Ábrahám, Erika, Kobialka, Paul
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 02.10.2023
Subjects:	Algorithms Arithmetic
ISSN:	2331-8422
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In this paper we introduce a novel quantifier elimination method for conjunctions of linear real arithmetic constraints. Our algorithm is based on the Fourier-Motzkin variable elimination procedure, but by case splitting we are able to reduce the worst-case complexity from doubly to singly exponential. The adaption of the procedure for SMT solving has strong correspondence to the simplex algorithm, therefore we name it FMplex. Besides the theoretical foundations, we provide an experimental evaluation in the context of SMT solving.
Bibliography:	SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50
ISSN:	2331-8422
DOI:	10.48550/arxiv.2310.00995