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» A Logic on Subobjects and Recognizability
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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
IANDC
2006
82views more  IANDC 2006»
13 years 4 months ago
Recognizability, hypergraph operations, and logical types
We study several algebras of graphs and hypergraphs and the corresponding notions of equational sets and recognizable sets. We generalize and unify several existing results which ...
Achim Blumensath, Bruno Courcelle
DLT
2004
13 years 6 months ago
Recognizable Sets of Graphs, Hypergraphs and Relational Structures: A Survey
New results on the recognizability of sets of finite graphs, hypergraphs and relational structures are presented. The general framework of this research which associates tightly a...
Bruno Courcelle
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
CSR
2006
Springer
13 years 6 months ago
Weighted Logics for Traces
Abstract. We study a quantitative model of traces, i.e. trace series which assign to every trace an element from a semiring. We show the coincidence of recognizable trace series wi...
Ingmar Meinecke