Theory of Semi-Instantiation in Abstract Argumentation

D. M. Gabbay

Research output: Contribution to journalArticlepeer-review


We study instantiated abstract argumentation frames of the form (S, R, I), where (S, R) is an abstract argumentation frame and where the arguments x of S are instantiated by I(x) as well formed formulas of a well known logic, for example as Boolean formulas or as predicate logic formulas or as modal logic formulas. We use the method of conceptual analysis to derive the properties of our proposed system. We seek to define the notion of complete extensions for such systems and provide algorithms for finding such extensions. We further develop a theory of instantiation in the abstract, using the framework of Boolean attack formations and of conjunctive and disjunctive attacks. We discuss applications and compare critically with the existing related literature.

Original languageEnglish
Pages (from-to)431-516
Number of pages86
JournalLogica Universalis
Issue number4
StatePublished - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer International Publishing.


  • Argumentation
  • Boolean attack formations
  • Semi-instantiation


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