# Bipolar in Temporal Argumentation Framework

## TL;DR

This paper introduces a Timed Bipolar Argumentation Framework (T-BAF) that models both attack and support relations between arguments over time, enhancing the ability to analyze dynamic, real-world argumentation scenarios.

## Contribution

The work extends the existing Timed Argumentation Framework by incorporating support relations, enabling more comprehensive modeling of temporal, positive, and negative interactions.

## Key findings

- Framework supports modeling of attack and support over time
- Classical argument extensions are definable within T-BAF
- Enhances applicability to real-world temporal argumentation

## Abstract

A Timed Argumentation Framework (TAF) is a formalism where arguments are only valid for consideration in a given period of time, called availability intervals, which are defined for every individual argument. The original proposal is based on a single, abstract notion of attack between arguments that remains static and permanent in time. Thus, in general, when identifying the set of acceptable arguments, the outcome associated with a TAF will vary over time. In this work we introduce an extension of TAF adding the capability of modeling a support relation between arguments. In this sense, the resulting framework provides a suitable model for different time-dependent issues. Thus, the main contribution here is to provide an enhanced framework for modeling a positive (support) and negative (attack) interaction varying over time, which are relevant in many real-world situations. This leads to a Timed Bipolar Argumentation Framework (T-BAF), where classical argument extensions can be defined. The proposal aims at advancing in the integration of temporal argumentation in different application domain.