Practical algorithms for MSO model-checking on tree-decomposable graphs

A Langer, F Reidl, P Rossmanith, S Sikdar - Computer Science Review, 2014‏ - Elsevier
In this survey, we review practical algorithms for graph-theoretic problems that are
expressible in monadic second-order logic. Monadic second-order (MSO) logic allows …

[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 …

Bounded treewidth as a key to tractability of knowledge representation and reasoning

G Gottlob, R Pichler, F Wei - Artificial Intelligence, 2010‏ - Elsevier
Several forms of reasoning in AI–like abduction, closed world reasoning, circumscription,
and disjunctive logic programming–are well known to be intractable. In fact, many of the …

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 …

Towards fixed-parameter tractable algorithms for abstract argumentation

W Dvořák, R Pichler, S Woltran - Artificial Intelligence, 2012‏ - Elsevier
Abstract argumentation frameworks have received a lot of interest in recent years. Most
computational problems in this area are intractable but several tractable fragments have …

Exact ASP counting with compact encodings

M Kabir, S Chakraborty, KS Meel - … of the AAAI Conference on Artificial …, 2024‏ - ojs.aaai.org
Answer Set Programming (ASP) has emerged as a promising paradigm in knowledge
representation and automated reason-ing owing to its ability to model hard combinatorial …

Lower bounds for QBFs of bounded treewidth

JK Fichte, M Hecher, A Pfandler - Proceedings of the 35th Annual ACM …, 2020‏ - dl.acm.org
The problem of deciding the validity (QSat) of quantified Boolean formulas (QBF) is a vivid
research area in both theory and practice. In the field of parameterized algorithmics, the well …

Answer set solving with bounded treewidth revisited

JK Fichte, M Hecher, M Morak, S Woltran - International Conference on …, 2017‏ - Springer
Parameterized algorithms are a way to solve hard problems more efficiently, given that a
specific parameter of the input is small. In this paper, we apply this idea to the field of answer …

[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 …

Counting complexity for reasoning in abstract argumentation

JK Fichte, M Hecher, A Meier - Proceedings of the AAAI Conference on …, 2019‏ - ojs.aaai.org
In this paper, we consider counting and projected model counting of extensions in abstract
argumentation for various semantics. When asking for projected counts we are interested in …