The PACE 2017 parameterized algorithms and computational experiments challenge: The second iteration

H Dell, C Komusiewicz, N Talmon… - … on parameterized and …, 2018 - drops.dagstuhl.de
In this article, the Program Committee of the Second Parameterized Algorithms and
Computational Experiments challenge (PACE 2017) reports on the second iteration of the …

[HTML][HTML] aspmc: New frontiers of algebraic answer set counting

T Eiter, M Hecher, R Kiesel - Artificial Intelligence, 2024 - Elsevier
In the last decade, there has been increasing interest in extensions of answer set
programming (ASP) that cater for quantitative information such as weights or probabilities. A …

[PDF][PDF] Treewidth-aware cycle breaking for algebraic answer set counting

T Eiter, M Hecher, R Kiesel - Proceedings of the International …, 2021 - researchgate.net
Probabilistic reasoning, parameter learning, and most probable explanation inference for
answer set programming have recently received growing attention. They are only some of …

Treewidth-aware reductions of normal ASP to SAT–Is normal ASP harder than SAT after all?

M Hecher - Artificial Intelligence, 2022 - Elsevier
Abstract Answer Set Programming (ASP) is a paradigm for modeling and solving problems
for knowledge representation and reasoning. There are plenty of results dedicated to …

The PACE 2019 parameterized algorithms and computational experiments challenge: the fourth iteration

MA Dzulfikar, JK Fichte, M Hecher - … International Symposium on …, 2019 - drops.dagstuhl.de
The organizers of the 4th Parameterized Algorithms and Computational Experiments
challenge (PACE 2019) report on the 4th iteration of the PACE challenge. This year, the first …

DPMC: weighted model counting by dynamic programming on project-join trees

JM Dudek, VHN Phan, MY Vardi - … on Principles and Practice of Constraint …, 2020 - Springer
We propose a unifying dynamic-programming framework to compute exact literal-weighted
model counts of formulas in conjunctive normal form. At the center of our framework are …

Exploiting database management systems and treewidth for counting

JK Fichte, M Hecher, P Thier… - Theory and Practice of …, 2022 - cambridge.org
Bounded treewidth is one of the most cited combinatorial invariants in the literature. It was
also applied for solving several counting problems efficiently. A canonical counting problem …

Solving projected model counting by utilizing treewidth and its limits

JK Fichte, M Hecher, M Morak, P Thier, S Woltran - Artificial Intelligence, 2023 - Elsevier
In this paper, we introduce a novel algorithm to solve projected model counting (PMC). PMC
asks to count solutions of a Boolean formula with respect to a given set of projection …

[PDF][PDF] Plausibility Reasoning via Projected Answer Set Counting-A Hybrid Approach.

JK Fichte, M Hecher, MA Nadeem, TU Dresden - IJCAI, 2022 - ijcai.org
Answer set programming is a form of declarative programming widely used to solve difficult
search problems. Probabilistic applications however require to go beyond simple search for …

Taming high treewidth with abstraction, nested dynamic programming, and database technology

M Hecher, P Thier, S Woltran - … of Satisfiability Testing–SAT 2020: 23rd …, 2020 - Springer
Treewidth is one of the most prominent structural parameters. While numerous theoretical
results establish tractability under the assumption of fixed treewidth, the practical success of …