Topics in Subset Space Logic: An Introduction to the Geometry of Dynamic Epistemology - Couverture souple

Baskent, Can

 
9783639233315: Topics in Subset Space Logic: An Introduction to the Geometry of Dynamic Epistemology
Couverture souple
ISBN 10 : 363923331X ISBN 13 : 9783639233315
Editeur : VDM Verlag Dr. Müller, 2010

Synopsis

In this work, we will first provide a comprehensive outlook of subset space logic in detail to set the basis for our discussions. Then, we will import some simple truth preserving operations and observe that these operations are valid in subset space logic as well. Equipped with all these tools, we will observe that the subset space logic is strong enough to axiomatize the dynamic aspects of knowledge change, in particular, the public announcement logic. We will then provide the full axiomatization of subset space public announcement logic and its then straightforward completeness proof. As long as the research area of geometry of knowledge is considered, we believe, it is significant to see that public announcement logic works well in the subset space language. All these discussions will lead us to take a closer look at the notion of shrinking - which can be considered as the temporal and perhaps the dynamic operator of the subset space logic. We will observe that, in fact, the shrinking operator is not a remote concept in formal sciences.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this work, we will first provide a comprehensive outlook of subset space logic in detail to set the basis for our discussions. Then, we will import some simple truth preserving operations and observe that these operations are valid in subset space logic as well. Equipped with all these tools, we will observe that the subset space logic is strong enough to axiomatize the dynamic aspects of knowledge change, in particular, the public announcement logic. We will then provide the full axiomatization of subset space public announcement logic and its then straightforward completeness proof. As long as the research area of geometry of knowledge is considered, we believe, it is significant to see that public announcement logic works well in the subset space language. All these discussions will lead us to take a closer look at the notion of shrinking - which can be considered as the temporal and perhaps the dynamic operator of the subset space logic. We will observe that, in fact, the shrinking operator is not a remote concept in formal sciences.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2010
Langue
anglais
ISBN 10 
363923331X
ISBN 13 
9783639233315
Reliure
Broché
Nombre de pages
96
Coordonnées du fabricant
non disponible
Personne responsable
non disponible