Combinatorial optimization and reasoning with graph neural networks

Q Cappart, D Chételat, EB Khalil, A Lodi… - Journal of Machine …, 2023 - jmlr.org
Combinatorial optimization is a well-established area in operations research and computer
science. Until recently, its methods have focused on solving problem instances in isolation …

The science of brute force

MJH Heule, O Kullmann - Communications of the ACM, 2017 - dl.acm.org
The science of brute force Page 1 70 COMMUNICATIONS OF THE ACM | AUGUST 2017 |
VOL. 60 | NO. 8 review articles ILL US TRA TION B Y PETER CRO W THER A SSOCIA TE S …

Theory solving made easy with clingo 5

M Gebser, R Kaminski, B Kaufmann… - … of the 32nd …, 2016 - drops.dagstuhl.de
Abstract Answer Set Programming (ASP) is a model, ground, and solve paradigm. The
integration of application-or theory-specific reasoning into ASP systems thus impacts on …

[图书][B] Answer set solving in practice

M Gebser, R Kaminski, B Kaufmann, T Schaub - 2022 - books.google.com
Answer Set Programming (ASP) is a declarative problem solving approach, initially tailored
to modeling problems in the area of Knowledge Representation and Reasoning (KRR) …

Solving and verifying the boolean pythagorean triples problem via cube-and-conquer

MJH Heule, O Kullmann, VW Marek - International Conference on Theory …, 2016 - Springer
Abstract The boolean Pythagorean Triples problem has been a longstanding open problem
in Ramsey Theory: Can the set N={1, 2,\dots\} of natural numbers be divided into two parts …

On the glucose SAT solver

G Audemard, L Simon - International Journal on Artificial …, 2018 - World Scientific
The set of novelties introduced with the SAT solver Glucose is now considered as a standard
for practical SAT solving. In this paper, we review the different strategies and technologies …

[PDF][PDF] Potassco: The Potsdam answer set solving collection

M Gebser, B Kaufmann, R Kaminski, M Ostrowski… - Ai …, 2011 - Citeseer
Potassco: The Potsdam Answer Set Solving Collection Page 1 AI Communications 24 (2011)
107–124 107 DOI 10.3233/AIC-2011-0491 IOS Press Potassco: The Potsdam Answer Set …

Conflict-driven answer set solving: From theory to practice

M Gebser, B Kaufmann, T Schaub - Artificial Intelligence, 2012 - Elsevier
We introduce an approach to computing answer sets of logic programs, based on concepts
successfully applied in Satisfiability (SAT) checking. The idea is to view inferences in …

DRAT-trim: Efficient checking and trimming using expressive clausal proofs

N Wetzler, MJH Heule, WA Hunt Jr - International Conference on Theory …, 2014 - Springer
The DRAT-trim tool is a satisfiability proof checker based on the new DRAT proof format.
Unlike its predecessor, DRUP-trim, all presently known SAT solving and preprocessing …

Solving non-linear arithmetic

D Jovanović, L De Moura - ACM Communications in Computer Algebra, 2013 - dl.acm.org
We propose a new decision procedure for the existential theory of the reals. It performs a
backtracking search for a model in R, where the backtracking is powered by a novel conflict …