A Framework for Combining Defeasible Argumentation with Labeled Deduction

TL;DR

This paper introduces LDSar, a unified logical framework combining Labeled Deductive Systems with defeasible argumentation to formalize complex reasoning, addressing issues in AI and logic.

Contribution

It presents LDSar, a novel LDS framework that integrates defeasible argumentation, capturing key issues and enabling logical analysis of defeasible reasoning.

Findings

LDSar effectively formalizes defeasible argumentation.

The framework captures important logical properties.

Extensions of LDSar reveal new reasoning capabilities.

Abstract

In the last years, there has been an increasing demand of a variety of logical systems, prompted mostly by applications of logic in AI and other related areas. Labeled Deductive Systems (LDS) were developed as a flexible methodology to formalize such a kind of complex logical systems. Defeasible argumentation has proven to be a successful approach to formalizing commonsense reasoning, encompassing many other alternative formalisms for defeasible reasoning. Argument-based frameworks share some common notions (such as the concept of argument, defeater, etc.) along with a number of particular features which make it difficult to compare them with each other from a logical viewpoint. This paper introduces LDSar, a LDS for defeasible argumentation in which many important issues concerning defeasible argumentation are captured within a unified logical framework. We also discuss some logical properties and extensions that emerge from the proposed framework.