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We develop a new numerical method for approximating the infinite time reachable set of strictly stable linear control systems. By solving a linear program with a constraint that incorporates the system dynamics, we compute a polytope with…

Optimization and Control · Mathematics 2019-04-03 Andreas Ernst , Lars Grüne , Janosch Rieger

The structure of many real-world optimization problems includes minimization of a nonlinear (or quadratic) functional subject to bound and singly linear constraints (in the form of either equality or bilateral inequality) which are commonly…

Optimization and Control · Mathematics 2010-05-19 Ruhollah Tavakoli

We consider Continuous Linear Programs over a continuous finite time horizon $T$, with linear cost coefficient functions, linear right hand side functions, and a constant coefficient matrix, as well as their symmetric dual. We search for…

Optimization and Control · Mathematics 2014-12-02 Evgeny Shindin , Gideon Weiss

Epistemic logic programs (ELPs) are a popular generalization of standard Answer Set Programming (ASP) providing means for reasoning over answer sets within the language. This richer formalism comes at the price of higher computational…

Computational Complexity · Computer Science 2020-01-14 Markus Hecher , Michael Morak , Stefan Woltran

In this paper, we present ASPEN, an answer set programming (ASP) implementation of a recently proposed declarative framework for collective entity resolution (ER). While an ASP encoding had been previously suggested, several practical…

Answer set programming (ASP) and planning are two widely used paradigms for solving logic programs with declarative programming. In both cases, the quality of the input programs has a major influence on the quality and performance of the…

Logic in Computer Science · Computer Science 2019-05-09 Patrick Lühne

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

Although Boolean Constraint Technology has made tremendous progress over the last decade, the efficacy of state-of-the-art solvers is known to vary considerably across different types of problem instances and is known to depend strongly on…

Artificial Intelligence · Computer Science 2014-01-07 Holger Hoos , Roland Kaminski , Marius Lindauer , Torsten Schaub

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

Optimization and Control · Mathematics 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

Qualitative reasoning involves expressing and deriving knowledge based on qualitative terms such as natural language expressions, rather than strict mathematical quantities. Well over 40 qualitative calculi have been proposed so far, mostly…

Artificial Intelligence · Computer Science 2025-12-17 George Baryannis , Ilias Tachmazidis , Sotiris Batsakis , Grigoris Antoniou , Mario Alviano , Emmanuel Papadakis

In computational complexity theory, a decision problem is NP-complete when it is both in NP and NP-hard. Although a solution to a NP-complete can be verified quickly, there is no known algorithm to solve it in polynomial time. There exists…

Computational Complexity · Computer Science 2018-03-28 Wenxia Guo , Jin Wang , Majun He , Xiaoqin Ren , Wenhong Tian , Qingxian Wang

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

Standard answer set programming (ASP) targets at solving search problems from the first level of the polynomial time hierarchy (PH). Tackling search problems beyond NP using ASP is less straightforward. The class of disjunctive logic…

Artificial Intelligence · Computer Science 2016-08-16 Bart Bogaerts , Tomi Janhunen , Shahab Tasharrofi

Adapting techniques from database theory in order to optimize Answer Set Programming (ASP) systems, and in particular the grounding components of ASP systems, is an important topic in ASP. In recent years, the Magic Set method has received…

Logic in Computer Science · Computer Science 2020-02-19 Mario Alviano , Wolfgang Faber , Stefan Woltran

In the design of integrated circuits, one critical metric is the maximum delay introduced by combinational modules within the circuit. This delay is crucial because it represents the time required to perform a computation: in an…

Artificial Intelligence · Computer Science 2026-01-14 Alessandro Bertagnon , Marcello Dalpasso , Michele Favalli , Marco Gavanelli

Approximate linear programming (ALP) is an efficient approach to solving large factored Markov decision processes (MDPs). The main idea of the method is to approximate the optimal value function by a set of basis functions and optimize…

Artificial Intelligence · Computer Science 2012-06-18 Branislav Kveton , Milos Hauskrecht

Argument Mining (AM) helps in automating the extraction of complex argumentative structures such as Argument Components (ACs) like Premise, Claim etc. and Argumentative Relations (ARs) like Support, Attack etc. in an argumentative text. Due…

Computation and Language · Computer Science 2025-10-21 Nilmadhab Das , Vishal Vaibhav , Yash Sunil Choudhary , V. Vijaya Saradhi , Ashish Anand

Answer Set Programming (ASP) is a well-established declarative problem solving paradigm which became widely used in AI and recognized as a powerful tool for knowledge representation and reasoning (KRR), especially for its high…

Artificial Intelligence · Computer Science 2017-07-24 Francesco Calimeri , Davide Fuscà , Stefano Germano , Simona Perri , Jessica Zangari

Answer Set Programming (ASP) has become a popular and quite sophisticated approach to declarative problem solving. This is arguably due to its attractive modeling-grounding-solving workflow that provides an easy approach to problem solving,…

Artificial Intelligence · Computer Science 2021-11-08 Roland Kaminski , Javier Romero , Torsten Schaub , Philipp Wanko

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
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