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Related papers: A note on monadic datalog on unranked trees

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We show that the query containment problem for monadic datalog on finite unranked labeled trees can be solved in 2-fold exponential time when (a) considering unordered trees using the axes child and descendant, and when (b) considering…

Logic in Computer Science · Computer Science 2014-04-03 André Frochaux , Martin Grohe , Nicole Schweikardt

In their AMW14-paper, Frochaux, Grohe, and Schweikardt showed that the query containment problem for monadic datalog on finite unranked labeled trees is Exptime-complete when (a) considering unordered trees using the child-axis, and when…

Logic in Computer Science · Computer Science 2016-08-23 André Frochaux , Nicole Schweikardt

We study the problem of eliminating recursion from monadic datalog programs on trees with an infinite set of labels. We show that the boundedness problem, i.e., determining whether a datalog program is equivalent to some nonrecursive one is…

Logic in Computer Science · Computer Science 2015-05-12 Filip Mazowiecki , Joanna Ochremiak , Adam Witkowski

We study the complexity and expressive power of conjunctive queries over unranked labeled trees represented using a variety of structure relations such as ``child'', ``descendant'', and ``following'' as well as unary relations for node…

Databases · Computer Science 2007-05-23 Georg Gottlob , Christoph Koch , Klaus U. Schulz

Tree-child networks are a recently-described class of directed acyclic graphs that have risen to prominence in phylogenetics (the study of evolutionary trees and networks). Although these networks have a number of attractive mathematical…

Probability · Mathematics 2023-01-10 François Bienvenu , Amaury Lambert , Mike Steel

The containment problem of Datalog queries is well known to be undecidable. There are, however, several Datalog fragments for which containment is known to be decidable, most notably monadic Datalog and several "regular" query languages on…

Databases · Computer Science 2014-07-01 Pierre Bourhis , Markus Krötzsch , Sebastian Rudolph

Separation Logic is a widely used formalism for describing dynamically allocated linked data structures, such as lists, trees, etc. The decidability status of various fragments of the logic constitutes a long standing open problem. Current…

Logic in Computer Science · Computer Science 2013-04-02 Radu Iosif , Adam Rogalewicz , Jiri Simacek

The monadic second-order theory of trees allows quantification over elements and over arbitrary subsets. We classify the class of trees with respect to the question: does a tree T have a definable choice function (by a monadic formula with…

Logic · Mathematics 2009-09-25 Shmuel Lifsches , Saharon Shelah

A query Q is monotonically determined over a set of views if Q can be expressed as a monotonic function of the view image. In the case of relational algebra views and queries, monotonic determinacy coincides with rewritability as a union of…

Logic in Computer Science · Computer Science 2020-03-13 Michael Benedikt , Stanislav Kikot , Piotr Ostropolski-Nalewaja , Miguel Romero

We study the problem of enumerating the answers to a query formulated in monadic second order logic (MSO) over an unranked forest F that is compressed by a straight-line program (SLP) D. Our main result states that this can be done after…

Formal Languages and Automata Theory · Computer Science 2026-03-17 Markus Lohrey , Markus L. Schmid

Rooted phylogenetic networks allow biologists to represent evolutionary relationships between present-day species by revealing ancestral speciation and hybridization events. A convenient and well-studied class of such networks are…

Populations and Evolution · Quantitative Biology 2026-02-02 Qiang Zhang , Mike Steel

We consider the problem of computing the measure of a regular language of infinite binary trees. While the general case remains unsolved, we show that the measure of a language defined by a first-order formula with no descendant relation or…

Logic in Computer Science · Computer Science 2018-09-11 Marcin Przybyłko

Access limitations are restrictions in the way in which the tuples of a relation can be accessed. Under access limitations, query answering becomes more complex than in the traditional case, with no guarantee that the answer tuples that can…

Databases · Computer Science 2014-01-06 Davide Martinenghi

Many data management applications must deal with data which is uncertain, incomplete, or noisy. However, on existing uncertain data representations, we cannot tractably perform the important query evaluation tasks of determining query…

Databases · Computer Science 2016-07-19 Antoine Amarilli

We give an algorithm to enumerate the results on trees of monadic second-order (MSO) queries represented by nondeterministic tree automata. After linear time preprocessing (in the input tree), we can enumerate answers with linear delay (in…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

The history of gene families -- which are equivalent to event-labeled gene trees -- can to some extent be reconstructed from empirically estimated evolutionary event-relations containing pairs of orthologous, paralogous or xenologous genes.…

Discrete Mathematics · Computer Science 2019-10-30 Manuel Lafond , Marc Hellmuth

Consider a linear ordering equipped with a finite sequence of monadic predicates. If the ordering contains an interval of order type \omega or -\omega, and the monadic second-order theory of the combined structure is decidable, there exists…

Logic in Computer Science · Computer Science 2015-07-01 Alexis Bes , Alexander Rabinovich

A new tree model is introduced based on ordered trees, by distinguishing exactly one child of each node that \emph{has} children. The basic enumeration leads to a cubic equation of the generating function. The extraction of its coefficients…

Combinatorics · Mathematics 2026-02-27 Helmut Prodinger

We consider entailment problems involving powerful constraint languages such as guarded existential rules, in which additional semantic restrictions are put on a set of distinguished relations. We consider restricting a relation to be…

Databases · Computer Science 2019-03-21 Antoine Amarilli , Michael Benedikt , Pierre Bourhis , Michael Vanden Boom

We consider entailment problems involving powerful constraint languages such as frontier-guarded existential rules in which we impose additional semantic restrictions on a set of distinguished relations. We consider restricting a relation…

Logic in Computer Science · Computer Science 2022-02-18 Antoine Amarilli , Michael Benedikt , Pierre Bourhis , Michael Vanden Boom
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