Algorithms for generating arguments and counterarguments in propositional logic

TitleAlgorithms for generating arguments and counterarguments in propositional logic
Publication TypeJournal Papers
Year of Publication2011
AuthorsEfstathiou, V, Hunter, A
JournalInternational Journal of Approximate Reasoning
Volume52
Pagination672–704
AbstractA common assumption for logic-based argumentation is that an argument is a pair Φ, α where Φ is minimal subset of the knowledgebase such that Φ is consistent and Φ entails the claim α. Different logics provide different definitions for consistency and entailment and hence give us different options for formalising arguments and counterarguments. The expressivity of classical propositional logic allows for complicated knowledge to be represented but its computational cost is an issue. In previous work we have proposed addressing this problem using connection graphs and resolution in order to generate arguments for claims that are literals. Here we propose a development of this work to generate arguments for claims that are disjunctive clauses of more than one disjunct, and also to generate counteraguments in the form of canonical undercuts (i.e. arguments that with a claim that is the negation of the conjunction of the support of the argument being undercut).
URLhttp://www.csri.gr/files/publications/3.algorithms for generating arguments and counterarguments in classical propositional logic.pdf