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This paper introduces a framework for the bottom-up simulation of SLD-resolution based on partial evaluation. The main idea is to use database facts to represent a set of SLD goals. For deductive databases it is natural to assume that the…

Logic in Computer Science · Computer Science 2014-05-19 Stefan Brass

The problem of checking whether a recursive query can be rewritten as query without recursion is a fundamental reasoning task, known as the boundedness problem. Here we study the boundedness problem for Unions of Conjunctive Regular Path…

Databases · Computer Science 2024-07-31 Diego Figueira , S. Krishna , Om Swostik Mishra , Anantha Padmanabha

Many existing branch and bound algorithms for multiobjective optimization problems require a significant computational cost to approximate the entire Pareto optimal solution set. In this paper, we propose a new branch and bound algorithm…

Optimization and Control · Mathematics 2024-05-20 Weitian Wu , Xinmin Yang

Deep Probabilistic Programming (DPP) allows powerful models based on recursive computation to be learned using efficient deep-learning optimization techniques. Additionally, DPP offers a unified perspective, where inference and learning…

Machine Learning · Computer Science 2022-03-31 Jonathan Warrell , Mark Gerstein

We study the termination problem of the chase algorithm, a central tool in various database problems such as the constraint implication problem, Conjunctive Query optimization, rewriting queries using views, data exchange, and data…

Databases · Computer Science 2009-09-17 Michael Meier , Michael Schmidt , Georg Lausen

In this thesis, we present two approaches to a rigorous mathematical and algorithmic foundation of quantitative and statistical inference in constraint-based natural language processing. The first approach, called quantitative constraint…

Computation and Language · Computer Science 2007-05-23 Stefan Riezler

A method is presented for computing minimal answers in disjunctive deductive databases under the disjunctive stable model semantics. Such answers are constructed by repeatedly extending partial answers. Our method is complete (in that every…

Logic in Computer Science · Computer Science 2007-05-23 C. A. Johnson

Border complexity captures functions that can be approximated by low-complexity ones. Debordering is the task of proving an upper bound on some non-border complexity measure in terms of a border complexity measure, thus getting rid of…

Computational Complexity · Computer Science 2025-10-16 Pranjal Dutta , Vladimir Lysikov

Functional dependencies (FDs) are basic constraints in relational databases and are used for many data management tasks. Most FD discovery algorithms find all valid dependencies, but this causes two problems. First, the computational cost…

Databases · Computer Science 2026-01-16 Xiaolong Wan , Xixian Han

The branch-and-bound algorithm based on decision diagrams introduced by Bergman et al. in 2016 is a framework for solving discrete optimization problems with a dynamic programming formulation. It works by compiling a series of bounded-width…

Data Structures and Algorithms · Computer Science 2024-01-19 Vianney Coppé , Xavier Gillard , Pierre Schaus

A methodology grounded in model reduction is presented for accelerating the gradient-based solution of a family of linear or nonlinear constrained optimization problems where the constraints include at least one linear Partial Differential…

Numerical Analysis · Mathematics 2020-04-15 Youngsoo Choi , Gabriele Boncoraglio , Spenser Anderson , David Amsallem , Charbel Farhat

Convex sample approximations of chance-constrained optimization problems are considered, in which chance constraints are replaced by sets of sampled constraints. We propose a randomized sample selection strategy that allows tight bounds to…

Optimization and Control · Mathematics 2018-05-22 Mark Cannon

In this paper, we propose a constraint-based modeling approach for the problem of discovering frequent gradual patterns in a numerical dataset. This SAT-based declarative approach offers an additional possibility to benefit from the recent…

Artificial Intelligence · Computer Science 2019-03-21 Jerry Lonlac , Saïdd Jabbour , Engelbert Mephu Nguifo , Lakhdar Saïs , Badran Raddaoui

Message passing algorithms have proved surprisingly successful in solving hard constraint satisfaction problems on sparse random graphs. In such applications, variables are fixed sequentially to satisfy the constraints. Message passing is…

Artificial Intelligence · Computer Science 2019-06-05 Andrea Montanari , Federico Ricci-Tersenghi , Guilhem Semerjian

Answering logical queries over incomplete knowledge bases is challenging because: 1) it calls for implicit link prediction, and 2) brute force answering of existential first-order logic queries is exponential in the number of existential…

Artificial Intelligence · Computer Science 2021-03-02 Francois Luus , Prithviraj Sen , Pavan Kapanipathi , Ryan Riegel , Ndivhuwo Makondo , Thabang Lebese , Alexander Gray

Logic programming with tabling and constraints (TCLP, tabled constraint logic programming) has been shown to be more expressive and, in some cases, more efficient than LP, CLP, or LP with tabling. In this paper we provide insights regarding…

Logic in Computer Science · Computer Science 2020-10-01 Joaquín Arias , Manuel Carro

We revisit the so-called sampling and discarding approach used to quantify the probability of constraint violation of a solution to convex scenario programs when some of the original samples are allowed to be discarded. Motivated by two…

Optimization and Control · Mathematics 2022-04-05 Licio Romao , Antonis Papachristodoulou , Kostas Margellos

The optimization of chemical processes is challenging due to the nonlinearities arising from process physics and discrete design decisions. In particular, optimal synthesis and design of chemical processes can be posed as a Generalized…

In the context of solving large distributed constraint optimization problems (DCOP), belief-propagation and approximate inference algorithms are candidates of choice. However, in general, when the factor graph is very loopy (i.e. cyclic),…

Multiagent Systems · Computer Science 2017-06-08 Jesús Cerquides , Rémi Emonet , Gauthier Picard , Juan A. Rodríguez-Aguilar

In this paper, Lipschitz univariate constrained global optimization problems where both the objective function and constraints can be multiextremal are considered. The constrained problem is reduced to a discontinuous unconstrained problem…

Optimization and Control · Mathematics 2015-03-19 Yaroslav D. Sergeyev , Domenico Famularo , Paolo Pugliese