Proving UNSAT in SMT: The Case of Quantifier Free Non-Linear Real Arithmetic

08/11/2021
by   Erika Ábrahám, et al.
0

We discuss the topic of unsatisfiability proofs in SMT, particularly with reference to quantifier free non-linear real arithmetic. We outline how the methods here do not admit trivial proofs and how past formalisation attempts are not sufficient. We note that the new breed of local search based algorithms for this domain may offer an easier path forward.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
03/12/2023

Local Search For SMT On Linear and Multilinear Real Arithmetic

Satisfiability Modulo Theories (SMT) has significant application in vari...
research
07/31/2023

SMT-Solving Induction Proofs of Inequalities

This paper accompanies a new dataset of non-linear real arithmetic probl...
research
08/31/2020

Incomplete SMT Techniques for Solving Non-Linear Formulas over the Integers

We present new methods for solving the Satisfiability Modulo Theories pr...
research
06/28/2018

Non-linear Real Arithmetic Benchmarks derived from Automated Reasoning in Economics

We consider problems originating in economics that may be solved automat...
research
05/22/2019

A CDCL-style calculus for solving non-linear constraints

In this paper we propose a novel approach for checking satisfiability of...
research
05/29/2021

Verified Quadratic Virtual Substitution for Real Arithmetic

This paper presents a formally verified quantifier elimination (QE) algo...

Please sign up or login with your details

Forgot password? Click here to reset