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» On the Recognizability of Arrow and Graph Languages
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GG
2008
Springer
13 years 6 months ago
On the Recognizability of Arrow and Graph Languages
In this paper we give a category-based characterization of recognizability. A recognizable subset of arrows is defined via a functor into the category of relations on sets, which ...
Harrie Jan Sander Bruggink, Barbara König
ECEASST
2010
13 years 2 months ago
Recognizable Graph Languages for Checking Invariants
Christoph Blume, Harrie Jan Sander Bruggink, Barba...
CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 4 months ago
On the logical definability of certain graph and poset languages
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...
Pascal Weil
IFIPTCS
2010
13 years 2 months ago
A Logic on Subobjects and Recognizability
We introduce a simple logic that allows to quantify over the subobjects of a categorical object. We subsequently show that, for the category of graphs, this logic is equally expres...
Harrie Jan Sander Bruggink, Barbara König
MFCS
1998
Springer
13 years 9 months ago
Facial Circuits of Planar Graphs and Context-Free Languages
It is known that a language is context-free iff it is the set of borders of the trees of recognizable set, where the border of a (labelled) tree is the word consisting of its leaf ...
Bruno Courcelle, Denis Lapoire