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Semidefinite programming (SDP) is a fundamental class of convex optimization problems with diverse applications in mathematics, engineering, machine learning, and related disciplines. This paper investigates the application of the…

Optimization and Control · Mathematics 2025-10-15 Zilong Cui , Ran Gu

An important issue towards a broader acceptance of answer-set programming (ASP) is the deployment of tools which support the programmer during the coding phase. In particular, methods for debugging an answer-set program are recognised as a…

Programming Languages · Computer Science 2010-07-29 Johannes Oetsch , Jörg Pührer , Hans Tompits

Semidefinite programming (SDP) is a powerful framework from convex optimization that has striking potential for data science applications. This paper develops a provably correct randomized algorithm for solving large, weakly constrained SDP…

Optimization and Control · Mathematics 2021-03-26 Alp Yurtsever , Joel A. Tropp , Olivier Fercoq , Madeleine Udell , Volkan Cevher

Answer Set Programming (ASP) is an increasingly popular framework for declarative programming that admits the description of problems by means of rules and constraints that form a disjunctive logic program. In particular, many AI problems…

Computational Complexity · Computer Science 2014-03-07 Johannes Klaus Fichte , Stefan Szeider

Answer Set Programming (ASP) is a logic-based knowledge representation framework, supporting---among other reasoning modes---the central task of query answering. In the propositional case, query answering amounts to computing cautious…

Logic in Computer Science · Computer Science 2018-04-24 Mario Alviano , Carmine Dodaro , Matti Järvisalo , Marco Maratea , Alessandro Previti

We study the use of local consistency methods as reductions between constraint satisfaction problems (CSPs), and promise version thereof, with the aim to classify these reductions in a similar way as the algebraic approach classifies gadget…

Logic in Computer Science · Computer Science 2024-05-20 Victor Dalmau , Jakub Opršal

Abstract semantics has proven to be instrumental for accelerating search-based program synthesis, by enabling the sound pruning of a set of incorrect programs (without enumerating them). One may expect faster synthesis with increasingly…

Programming Languages · Computer Science 2026-04-17 Rui Dong , Qingyue Wu , Danny Ding , Zheng Guo , Ruyi Ji , Xinyu Wang

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

A wide range of optimization problems arising in machine learning can be solved by gradient descent algorithms, and a central question in this area is how to efficiently compress a large-scale dataset so as to reduce the computational…

Machine Learning · Computer Science 2022-10-11 Jiawei Huang , Ruomin Huang , Wenjie Liu , Nikolaos M. Freris , Hu Ding

We present a new generic approach to the condensed-matter ground-state problem which is complementary to variational techniques and works directly in the thermodynamic limit. Relaxing the ground-state problem, we obtain semidefinite…

Strongly Correlated Electrons · Physics 2012-08-08 Thomas Barthel , Robert Hübener

Parameterized algorithms have been subject to extensive research of recent years and allow to solve hard problems by exploiting a parameter of the corresponding problem instances. There, one goal is to devise algorithms, where the runtime…

Logic in Computer Science · Computer Science 2019-05-07 Markus Hecher

While the solution counting problem for propositional satisfiability (#SAT) has received renewed attention in recent years, this research trend has not affected other AI solving paradigms like answer set programming (ASP). Although ASP…

Logic in Computer Science · Computer Science 2016-12-23 Johannes Fichte , Markus Hecher , Michael Morak , Stefan Woltran

The grounding bottleneck poses one of the key challenges that hinders the widespread adoption of Answer Set Programming in industry. Hybrid Grounding is a step in alleviating the bottleneck by combining the strength of standard bottom-up…

Artificial Intelligence · Computer Science 2026-01-14 Alexander Beiser , Markus Hecher , Stefan Woltran

Hybrid variations of metaheuristics that include data mining strategies have been utilized to solve a variety of combinatorial optimization problems, with superior and encouraging results. Previous hybrid strategies applied mined patterns…

Artificial Intelligence · Computer Science 2020-05-25 Marcelo Rodrigues de Holanda Maia , Alexandre Plastino , Puca Huachi Vaz Penna

We generalize the reduction mechanism for linear programming problems and semidefinite programming problems from [arXiv:1410.8816] in two ways 1) relaxing the requirement of affineness and 2) extending to fractional optimization problems.…

Computational Complexity · Computer Science 2018-10-23 Gábor Braun , Sebastian Pokutta , Aurko Roy

Crafting automation systems tailored for specific domains requires aligning the space of human experts' semantics with the space of robot executable actions, and scheduling the required resources and system layout accordingly. Regrettably,…

Robotics · Computer Science 2024-10-10 Yu-Zhe Shi , Qiao Xu , Fanxu Meng , Lecheng Ruan , Qining Wang

The design of efficient solutions for abstract argumentation problems is a crucial step towards advanced argumentation systems. One of the most prominent approaches in the literature is to use Answer-Set Programming (ASP) for this endeavor.…

Artificial Intelligence · Computer Science 2020-02-19 Sarah A. Gaggl , Norbert Manthey , Alessandro Ronca , Johannes P. Wallner , Stefan Woltran

Answer set programming (ASP) is a paradigm for modeling knowledge intensive domains and solving challenging reasoning problems. In ASP solving, a typical strategy is to preprocess problem instances by rewriting complex rules into simpler…

Logic in Computer Science · Computer Science 2020-11-09 Jori Bomanson , Tomi Janhunen

Abstract solvers are a method to formally analyze algorithms that have been profitably used for describing, comparing and composing solving techniques in various fields such as Propositional Satisfiability (SAT), Quantified SAT,…

Logic in Computer Science · Computer Science 2020-02-19 Giovanni Amendola , Carmine Dodaro , Marco Maratea

Answer Set Planning refers to the use of Answer Set Programming (ASP) to compute plans, i.e., solutions to planning problems, that transform a given state of the world to another state. The development of efficient and scalable answer set…

Artificial Intelligence · Computer Science 2022-02-14 Tran Cao Son , Enrico Pontelli , Marcello Balduccini , Torsten Schaub