College Publications logo   College Publications title  
View Basket
Homepage Contact page
   
 
AiML
Academia Brasileira de Filosofia
Algorithmics
Arts
Cadernos de Lógica e Computação
Cadernos de Lógica e Filosofia
Cahiers de Logique et d'Epistemologie
Communication, Mind and Language
Computing
Comptes Rendus de l'Academie Internationale de Philosophie des Sciences
Cuadernos de lógica, Epistemología y Lenguaje
DEON
Dialogues
Economics
Encyclopaedia of Logic
Filosofia
Handbooks
Historia Logicae
IfColog series in Computational Logic
Journal of Applied Logics - IfCoLog Journal
Journals
Landscapes
Logics for New-Generation AI
Logic and Law
Logic and Semiotics
Logic PhDs
Logic, Methodology and Philosophy of Science
The Logica Yearbook
Marked States
Neural Computing and Artificial Intelligence
Philosophy
Research
The SILFS series
Studies in Logic
History of Logic
Logic and cognitive systems
Mathematical logic and foundations
Studies in Logic and Argumentation
Logic and Bounded Rationality
Studies in Talmudic Logic
Student Publications
Systems
Texts in Logic and Reasoning
Texts in Mathematics
Tributes
Other
Digital Downloads
Information for authors
About us
Search for Books
 



Studies in Logic


Back

Metalogical Contributions to the Nonmonotonic Theory of Abstract Argumentation

Ringo Baumann

Argumentation is the interdisciplinary study of how conclusions can be reached through the construction and evaluation of arguments, that is, structures describing a proposition together with the reasons for accepting it. The field has received growing interest within Artificial Intelligence over the last decades. It covers aspects of knowledge representation and multi-agent systems, but also touches on various philosophical questions.

Phan Minh Dung's abstract argumentation frameworks (AFs) play a dominant role in the field. In AFs arguments and attacks among them are treated as primitives, i.e. the internal structure of arguments is not considered. The major focus is on resolving conflicts. To this end a variety of semantics have been defined, each of them specifying acceptable sets of arguments, so-called extensions, in a particular way.

This book is mainly concerned with the investigation of metalogical properties of Dung's abstract theory. In particular, we provide cardinality, monotonicity and splitting results as well as characterization theorems for equivalence notions. The established results have theoretical and practical gains. On the one hand, they yield deeper theoretical insights into how this nonmonotonic theory works, and on the other the obtained results can be used to refine existing algorithms or even give rise to new computational procedures. A further main part is the study of problems regarding dynamic aspects of abstract argumentation. Most noteworthy we solve the so-called enforcing and the more general minimal change problem for a huge number of semantics.


12 May 2014

978-1-84890-143-8






© 2005–2024 College Publications / VFH webmaster