7 results
Thomas Place ; Luc Segoufin.
A regular tree language L is locally testable if membership of a tree in L depends only on the presence or absence of some fix set of neighborhoods in the tree. In this paper we show that it is decidable whether a regular tree language is locally testable. The decidability is shown for ranked trees […]
Published on November 22, 2011
Mikołaj Bojańczyk ; Luc Segoufin ; Howard Straubing.
This paper presents a decidable characterization of tree languages that can be defined by a boolean combination of Sigma_1 sentences. This is a tree extension of the Simon theorem, which says that a string language can be defined by a boolean combination of Sigma_1 sentences if and only if its […]
Published on September 29, 2012
Florent Jacquemard ; Luc Segoufin ; Jerémie Dimino.
A data tree is an unranked ordered tree where each node carries a label from a finite alphabet and a datum from some infinite domain. We consider the two variable first order logic FO2(<,+1,~) over data trees. Here +1 refers to the child and the next sibling relations while < refers to the […]
Published on April 26, 2016
Thomas Place ; Luc Segoufin.
We provide a decidable characterization of regular forest languages definable in FO2(<h,<v). By FO2(<h,<v) we refer to the two variable fragment of first order logic built from the descendant relation and the following sibling relation. In terms of expressive power it corresponds to a fragment of […]
Published on September 1, 2015
Nadime Francis ; Luc Segoufin ; Cristina Sirangelo.
We consider query answering using views on graph databases, i.e. databases structured as edge-labeled graphs. We mainly consider views and queries specified by Regular Path Queries (RPQ). These are queries selecting pairs of nodes in a graph database that are connected via a path whose sequence of […]
Published on December 22, 2015
Wojciech Kazana ; Luc Segoufin.
We consider the enumeration problem of first-order queries over structures of bounded degree. It was shown that this problem is in the Constant-Delaylin class. An enumeration problem belongs to Constant-Delaylin if for an input of size n it can be solved by: - an O(n) precomputation phase building […]
Published on June 29, 2011
Wojtek Kazana ; Luc Segoufin.
We consider the evaluation of first-order queries over classes of databases with bounded expansion. The notion of bounded expansion is fairly broad and generalizes bounded degree, bounded treewidth and exclusion of at least one minor. It was known that over a class of databases with bounded […]
Published on February 25, 2020