FLOC 2018: FEDERATED LOGIC CONFERENCE 2018
Non-linear Real Arithmetic Benchmarks derived from Automated Reasoning in Economics

Authors: Casey Mulligan, Russell Bradford, James H. Davenport, Matthew England and Zak Tonks

Paper Information

Title:Non-linear Real Arithmetic Benchmarks derived from Automated Reasoning in Economics
Authors:Casey Mulligan, Russell Bradford, James H. Davenport, Matthew England and Zak Tonks
Proceedings:SCSC Papers
Editors: Anna Maria Bigatti and Martin Brain
Keywords:Economic Reasoning, Quantifier Elimination, Satisfiability Modulo Theories, Non-linear Real Arithmetic
Abstract:

ABSTRACT. We consider problems originating in economics that may be solved automatically using mathematical software. We present and make freely available a new benchmark set of such problems. The problems have been shown to fall within the framework of non-linear real arithmetic, and so are in theory soluble via Quantifier Elimination (QE) technology as usually implemented in computer algebra systems. Further, they all can be phrased in prenex normal form with only existential quantifiers and so are also admissible to those Satisfiability Module Theory (SMT) solvers that support the QF_NRA logic. There is a great body of work considering QE and SMT application in science and engineering, but we demonstrate here that there is potential for this technology also in the social sciences.

Pages:13
Talk:Jul 11 14:00 (Session 66D: Research papers: CAD)
Paper: