Satisfiability modulo theories

C Barrett, C Tinelli - Handbook of model checking, 2018 - Springer
Abstract Satisfiability Modulo Theories (SMT) refers to the problem of determining whether a
first-order formula is satisfiable with respect to some logical theory. Solvers based on SMT …

The Unique Games Conjecture, Integrality Gap for Cut Problems and Embeddability of Negative-Type Metrics into ℓ1

SA Khot, NK Vishnoi - Journal of the ACM (JACM), 2015 - dl.acm.org
In this article, we disprove a conjecture of Goemans and Linial; namely, that every negative
type metric embeds into ℓ1 with constant distortion. We show that for an arbitrarily small …

Explaining counterexamples using causality

I Beer, S Ben-David, H Chockler, A Orni… - Formal Methods in System …, 2012 - Springer
When a model does not satisfy a given specification, a counterexample is produced by the
model checker to demonstrate the failure. A user must then examine the counterexample …

Minimal sets over monotone predicates in boolean formulae

J Marques-Silva, M Janota, A Belov - … Saint Petersburg, Russia, July 13-19 …, 2013 - Springer
The importance and impact of the Boolean satisfiability (SAT) problem in many practical
settings is well-known. Besides SAT, a number of computational problems related with …

Satisfiability modulo theories

C Barrett, R Sebastiani, SA Seshia… - Handbook of …, 2021 - ebooks.iospress.nl
Applications in artificial intelligence, formal verification, and other areas have greatly
benefited from the recent advances in SAT. It is often the case, however, that applications in …

Boosting minimal unsatisfiable core extraction

A Nadel - Formal methods in computer aided design, 2010 - ieeexplore.ieee.org
A variety of tasks in formal verification require finding small or minimal unsatisfiable cores
(subsets) of an unsatisfiable set of constraints. This paper proposes two algorithms for …

Towards efficient MUS extraction

A Belov, I Lynce, J Marques-Silva - AI Communications, 2012 - content.iospress.com
Abstract Minimally Unsatisfiable Subformulas (MUS) find a wide range of practical
applications, including product configuration, knowledge-based validation, and hardware …

Detecting inconsistencies in large biological networks with answer set programming

M Gebser, T Schaub, S Thiele, P Veber - Theory and Practice of …, 2011 - cambridge.org
We introduce an approach to detecting inconsistencies in large biological networks by using
answer set programming. To this end, we build upon a recently proposed notion of …

Systematically debugging IoT control system correctness for building automation

CJM Liang, L Bu, Z Li, J Zhang, S Han… - Proceedings of the 3rd …, 2016 - dl.acm.org
Advances and standards in Internet of Things (IoT) have simplified the realization of building
automation. However, non-expert IoT users still lack tools that can help them to ensure the …

Finding minimal unsatisfiable cores of declarative specifications

E Torlak, FSH Chang, D Jackson - … Methods, Turku, Finland, May 26-30 …, 2008 - Springer
Declarative specifications exhibit a variety of problems, such as inadvertently
overconstrained axioms and underconstrained conjectures, that are hard to diagnose with …