Satisfiability modulo theories
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 …
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 …
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 …
model checker to demonstrate the failure. A user must then examine the counterexample …
Minimal sets over monotone predicates in boolean formulae
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 …
settings is well-known. Besides SAT, a number of computational problems related with …
Satisfiability modulo theories
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 …
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 …
(subsets) of an unsatisfiable set of constraints. This paper proposes two algorithms for …
Towards efficient MUS extraction
Abstract Minimally Unsatisfiable Subformulas (MUS) find a wide range of practical
applications, including product configuration, knowledge-based validation, and hardware …
applications, including product configuration, knowledge-based validation, and hardware …
Detecting inconsistencies in large biological networks with answer set programming
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 …
answer set programming. To this end, we build upon a recently proposed notion of …
Systematically debugging IoT control system correctness for building automation
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 …
automation. However, non-expert IoT users still lack tools that can help them to ensure the …
Finding minimal unsatisfiable cores of declarative specifications
Declarative specifications exhibit a variety of problems, such as inadvertently
overconstrained axioms and underconstrained conjectures, that are hard to diagnose with …
overconstrained axioms and underconstrained conjectures, that are hard to diagnose with …