On resolving conflicts between arguments
- URL: http://arxiv.org/abs/2209.09838v1
- Date: Tue, 20 Sep 2022 16:31:19 GMT
- Title: On resolving conflicts between arguments
- Authors: Nico Roos
- Abstract summary: In legal argumentation, meta-rules determine the valid arguments by considering the last defeasible rule of each argument involved in a conflict.
We propose a new argument system where, instead of deriving a defeat relation between arguments, emphundercutting-arguments for the defeat of defeasible rules are constructed.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Argument systems are based on the idea that one can construct arguments for
propositions; i.e., structured reasons justifying the belief in a proposition.
Using defeasible rules, arguments need not be valid in all circumstances,
therefore, it might be possible to construct an argument for a proposition as
well as its negation. When arguments support conflicting propositions, one of
the arguments must be defeated, which raises the question of \emph{which
(sub-)arguments can be subject to defeat}?
In legal argumentation, meta-rules determine the valid arguments by
considering the last defeasible rule of each argument involved in a conflict.
Since it is easier to evaluate arguments using their last rules, \emph{can a
conflict be resolved by considering only the last defeasible rules of the
arguments involved}?
We propose a new argument system where, instead of deriving a defeat relation
between arguments, \emph{undercutting-arguments} for the defeat of defeasible
rules are constructed. This system allows us, (\textit{i}) to resolve conflicts
(a generalization of rebutting arguments) using only the last rules of the
arguments for inconsistencies, (\textit{ii}) to determine a set of valid
(undefeated) arguments in linear time using an algorithm based on a JTMS,
(\textit{iii}) to establish a relation with Default Logic, and (\textit{iv}) to
prove closure properties such as \emph{cumulativity}. We also propose an
extension of the argument system that enables \emph{reasoning by cases}.
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