Stage-oe-small.jpg

Article786: Unterschied zwischen den Versionen

Aus Aifbportal
Wechseln zu:Navigation, Suche
K (Added from ontology)
K (Added from ontology)
Zeile 32: Zeile 32:
 
}}
 
}}
 
{{Forschungsgebiet Auswahl
 
{{Forschungsgebiet Auswahl
|Forschungsgebiet=Theoretische Informatik
+
|Forschungsgebiet=Topologie in der Informatik
 
}}
 
}}
 
{{Forschungsgebiet Auswahl
 
{{Forschungsgebiet Auswahl
|Forschungsgebiet=Topologie in der Informatik
+
|Forschungsgebiet=Formale Begriffsanalyse
 
}}
 
}}
 
{{Forschungsgebiet Auswahl
 
{{Forschungsgebiet Auswahl
|Forschungsgebiet=Formale Begriffsanalyse
+
|Forschungsgebiet=Theoretische Informatik
 
}}
 
}}
 
{{Forschungsgebiet Auswahl
 
{{Forschungsgebiet Auswahl
 
|Forschungsgebiet=Logik
 
|Forschungsgebiet=Logik
 
}}
 
}}

Version vom 10. September 2009, 18:51 Uhr


A categorical view on algebraic lattices in formal concept analysis


A categorical view on algebraic lattices in formal concept analysis



Veröffentlicht: 2006 Juli

Journal: Fundamenta Informaticae
Nummer: 2-3Der Datenwert „-3“ kann einem Attribut des Datentyps Zahl nicht zugeordnet werden sondern bspw. der Datenwert „2“.
Seiten: 301-328

Volume: 74


Referierte Veröffentlichung

BibTeX




Kurzfassung
Formal concept analysis has grown from a new branch of the mathematical field of lattice theory to a widely recognized tool in Computer Science and elsewhere. In order to fully benefit from this theory, we believe that it can be enriched with notions such as approximation by computation or representability. The latter are commonly studied in denotational semantics and domain theory and captured most prominently by the notion of algebraicity, e.g. of lattices. In this paper, we explore the notion of algebraicity in formal concept analysis from a category-theoretical perspective. To this end, we build on the the notion of approximable concept with a suitable category and show that the latter is equivalent to the category of algebraic lattices. At the same time, the paper provides a relatively comprehensive account of the representation theory of algebraic lattices in the framework of Stone duality, relating well-known structures such as Scott information systems with further formalisms from logic, topology, domains and lattice theory.

Download: Media:2006_786_Hitzler_A_categorical_v_1.pdf

Projekt

SmartWeb



Forschungsgebiet

Formale Begriffsanalyse, Topologie in der Informatik, Logik, Theoretische Informatik