Abstract
We add strong negation N to classical logic and interpret the attack relation of 'x attacks y' in argumentation as (x→Ny). We write a corresponding object level (using N only) classical theory for each argumentation network and show that the classical models of this theory correspond exactly to the complete extensions of the argumentation network. We show by example how this approach simplifies the study of abstract argumentation networks. We compare with other translations of abstract argumentation networks into logic, such as classical predicate logic or modal logics, or logic programming, and we also compare with Abstract Dialectical Frameworks.
Original language | English |
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Pages (from-to) | 881-941 |
Number of pages | 61 |
Journal | Logic Journal of the IGPL |
Volume | 23 |
Issue number | 6 |
DOIs | |
State | Published - 12 Mar 2015 |
Bibliographical note
Publisher Copyright:© The Author 2015. Published by Oxford University Press. All rights reserved.
Keywords
- Argumentation network
- Disjunctive attack
- Higher level attack
- Intuitionistic logic
- Strong negation