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Several works have recently investigated the parameterized complexity of data completion problems, motivated by their applications in machine learning, and clustering in particular. Interestingly, these problems can be equivalently…

Data Structures and Algorithms · Computer Science 2024-07-16 Eduard Eiben , Robert Ganian , Iyad Kanj , Sebastian Ordyniak , Stefan Szeider

We describe an approach to modelling and reasoning about data-centric business processes and present a form of general model checking. Our technique extends existing approaches, which explore systems only from concrete initial states.…

Logic in Computer Science · Computer Science 2012-07-12 Andreas Bauer , Peter Baumgartner , Michael Norrish

Team Semantics generalizes Tarski's Semantics for First Order Logic by allowing formulas to be satisfied or not satisfied by sets of assignments rather than by single assignments. Because of this, in Team Semantics it is possible to extend…

Logic · Mathematics 2019-09-19 Pietro Galliani

We analyse the complexity of learning first-order queries in a model-theoretic framework for supervised learning introduced by (Grohe and Tur\'an, TOCS 2004). Previous research on the complexity of learning in this framework focussed on the…

Logic in Computer Science · Computer Science 2021-06-29 Steffen van Bergerem , Martin Grohe , Martin Ritzert

Asking which sets are fixed-parameter tractable for a given parameterization constitutes much of the current research in parameterized complexity theory. This approach faces some of the core difficulties in complexity theory. By focussing…

Logic in Computer Science · Computer Science 2018-01-17 Jouke Witteveen , Leen Torenvliet

We continue the work on the relations between independence logic and the model-theoretic analysis of independence, generalizing the results of [15] and [16] to the framework of abstract independence relations for an arbitrary AEC. We give a…

Logic · Mathematics 2016-09-09 Gianluca Paolini

Over the past decade a considerable amount of research has been done to expand logic programming languages to handle incomplete information. One such language is the language of epistemic specifications. As is usual with logic programming…

Artificial Intelligence · Computer Science 2007-05-23 Richard Watson

We argue that parameterized complexity is a useful tool with which to study global constraints. In particular, we show that many global constraints which are intractable to propagate completely have natural parameters which make them…

Artificial Intelligence · Computer Science 2009-03-04 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

In parametric lock-sharing systems processes can spawn new processes to run in parallel, and can create new locks. The behavior of every process is given by a pushdown automaton. We consider infinite behaviors of such systems under strong…

Logic in Computer Science · Computer Science 2023-07-12 Corto Mascle , Anca Muscholl , Igor Walukiewicz

The early classifications of the computational complexity of planning under various restrictions in STRIPS (Bylander) and SAS+ (Baeckstroem and Nebel) have influenced following research in planning in many ways. We go back and reanalyse…

Artificial Intelligence · Computer Science 2012-08-14 Christer Baeckstroem , Yue Chen , Peter Jonsson , Sebastian Ordyniak , Stefan Szeider

We study fragments of dependence logic defined either by restricting the number k of universal quantifiers or the width of dependence atoms in formulas. We find the sublogics of existential second-order logic corresponding to these…

Logic in Computer Science · Computer Science 2015-03-19 Arnaud Durand , Juha Kontinen

In temporal planning, many different temporal network formalisms are used to model real world situations. Each of these formalisms has different features which affect how easy it is to determine whether the underlying network of temporal…

Artificial Intelligence · Computer Science 2019-01-09 Nikhil Bhargava , Brian Williams

Parameterized complexity theory offers a framework for a refined analysis of hard algorithmic problems. Instead of expressing the running time of an algorithm as a function of the input size only, running times are expressed with respect to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-18 Sebastian Siebertz , Alexandre Vigny

A key problem in verification of multi-agent systems by model checking concerns the fact that the state-space of the system grows exponentially with the number of agents present. This makes practical model checking unfeasible whenever the…

Multiagent Systems · Computer Science 2014-05-26 Panagiotis Kouvaros , Alessio Lomuscio

Results of computational complexity exist for a wide range of phrase structure-based grammar formalisms, while there is an apparent lack of such results for dependency-based formalisms. We here adapt a result on the complexity of…

cmp-lg · Computer Science 2008-02-03 Peter Neuhaus , Norbert Broeker

The molecular computing has been successfully employed to solve more and more complex computation problems. However, as an important complex problem, the model checking are still far from fully resolved under the circumstance of molecular…

Logic in Computer Science · Computer Science 2017-02-21 Weijun Zhu

Pearl and Verma developed d-separation as a widely used graphical criterion to reason about the conditional independencies that are implied by the causal structure of a Bayesian network. As acyclic ground probabilistic logic programs…

Logic in Computer Science · Computer Science 2023-08-31 Kilian Rückschloß , Felix Weitkämper

Several types of dependencies have been proposed for the static analysis of existential rule ontologies, promising insights about computational properties and possible practical uses of a given set of rules, e.g., in ontology-based query…

Artificial Intelligence · Computer Science 2022-07-21 Larry González , Alex Ivliev , Markus Krötzsch , Stephan Mennicke

Difference Logic (DL) is a fragment of linear arithmetics where atoms are constraints x+k <= y for variables x,y (ranging over Q or Z) and integer k. We study the complexity of deciding the truth of existential DL sentences. This problem…

Data Structures and Algorithms · Computer Science 2024-02-06 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov

This paper revisits the well-established relationship between the modal mu calculus and parity games to show that it is even more robust than previously known. It addresses the question of whether the descriptive complexity of modal mu…

Logic in Computer Science · Computer Science 2017-09-08 Karoliina Lehtinen