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Mathematical logic and foundations


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Meta-logical Investigations in Argumentation Networks

Dov Gabbay

This book regards Dung’s abstract argumentation frames as a general network, comparable to other networks such as general logics neural-nets, ecology nets, electrical networks, flow networks and so on. As such the book imports general meta-logical methods and applies them to argumentation and exports ideas from argumentation to general logics and networks. Among the topics discussed are
• Connection with modal logic
• Connections with the Peirce-Quine dagger connective
• Combining and merging networks
• Bipolar networks
• Numerical and weighted argumentation networks
• The equational approach to networks
• Temporal aspects of networks
• Handling of loops
• Connection with logic programming
• Higher level attack and support

The book presents many research problems suitable for students’ PhD theses.

This is an indispensable book for any serious researcher in abstract argumentation networks and an outstanding contribution to the future evolution of the subject.


21 May 2013

978-1-84890-108-0

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