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In this paper, we discuss necessary and sufficient explanations for formal argumentation - the question whether and why a certain argument can be accepted (or not) under various extension-based semantics. Given a framework with which…

人工智能 · 计算机科学 2020-11-05 AnneMarie Borg , Floris Bex

Argumentation is one of the most popular approaches of defining a~non-monotonic formalism and several argumentation based semantics were proposed for defeasible logic programs. Recently, a new approach based on notions of conflict…

人工智能 · 计算机科学 2014-04-29 Jozef Frtús

This paper combines two studies: a topological semantics for epistemic notions and abstract argumentation theory. In our combined setting, we use a topological semantics to represent the structure of an agent's collection of evidence, and…

人工智能 · 计算机科学 2017-07-28 Chenwei Shi , Sonja Smets , Fernando R. Velázquez-Quesada

We develop a notion of cell decomposition suitable for studying weak p- adic structures (reducts of p-adic fields where addition and multiplication are not (everywhere) definable). As an example, we apply this to a language with restricted…

逻辑 · 数学 2012-05-21 Eva Leenknegt

We introduce a logical framework for reasoning about "uncertain interpretations" and investigate two key applications: a new semantics for implication capturing a kind of "meaning entailment", and a conservative notion of "evidentially…

计算机科学中的逻辑 · 计算机科学 2025-03-21 Adam Bjorndahl

In recent work, we introduced a new semantics for conditionals, covering a large class of what we call preconditionals. In this paper, we undertake an axiomatic study of preconditionals and subclasses of preconditionals. We then prove that…

逻辑 · 数学 2025-08-29 Wesley H. Holliday

We propose a novel ranking-based semantics for Dung-style argumentation frameworks with the help of conditional logics. Using an intuitive translation for an argumentation framework to generate conditionals, we can apply nonmonotonic…

人工智能 · 计算机科学 2020-08-07 Kenneth Skiba , Matthias Thimm

Translations between different nonmonotonic formalisms always have been an important topic in the field, in particular to understand the knowledge-representation capabilities those formalisms offer. We provide such an investigation in terms…

人工智能 · 计算机科学 2014-01-17 Wolfgang Dvorak , Stefan Woltran

We consider the notion of a vacuous reduct semantics for abstract argumentation frameworks, which, given two abstract argumentation semantics {\sigma} and {\tau}, refines {\sigma} (base condition) by accepting only those {\sigma}-extensions…

人工智能 · 计算机科学 2024-08-27 Lydia Blümel , Matthias Thimm

This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett's and Dag Prawitz' philosophical motivations and…

计算机科学中的逻辑 · 计算机科学 2021-08-12 Nils Kürbis

In many expert and everyday reasoning contexts it is very useful to reason on the basis of defeasible assumptions. For instance, if the information at hand is incomplete we often use plausible assumptions, or if the information is…

计算机科学中的逻辑 · 计算机科学 2018-04-25 AnneMarie Borg

Abstract dialectical frameworks (ADFs) have been introduced as a formalism for modeling and evaluating argumentation allowing general logical satisfaction conditions. Different criteria used to settle the acceptance of arguments are called…

人工智能 · 计算机科学 2020-12-14 Atefeh Keshavarzi Zafarghandi , Rineke Verbrugge , Bart Verheij

Argumentation is a process of evaluating and comparing a set of arguments. A way to compare them consists in using a ranking-based semantics which rank-order arguments from the most to the least acceptable ones. Recently, a number of such…

人工智能 · 计算机科学 2016-02-03 Elise Bonzon , Jérôme Delobelle , Sébastien Konieczny , Nicolas Maudet

A semantic tableau method, called an argumentation tableau, that enables the derivation of arguments, is proposed. First, the derivation of arguments for standard propositional and predicate logic is addressed. Next, an extension that…

人工智能 · 计算机科学 2022-09-13 Nico Roos

We discuss the problem of defining a logic for analogical reasoning, and sketch a solution in the style of the semantics for Counterfactual Conditionals, Preferential Structures, etc.

计算机科学中的逻辑 · 计算机科学 2019-10-08 Karl Schlechta

The development of logic has largely been through the 'deductive' paradigm: conclusions are inferred from established premisses. However, the use of logic in the context of both human and machine reasoning is typically through the dual…

计算机科学中的逻辑 · 计算机科学 2025-04-29 Alexander V. Gheorghiu , David J. Pym

We propose a new formalization of legal competences, and in particular for the Hohfeldian categories of power and immunity, through a deontic reinterpretation of dynamic epistemic logic. We argue that this logic explicitly captures the…

计算机科学中的逻辑 · 计算机科学 2021-10-12 Huimin Dong , Olivier Roy

Modal dependence logics are modal logics defined on the basis of team semantics and have the downward closure property. In this paper, we introduce sound and complete deduction systems for the major modal dependence logics, especially those…

逻辑 · 数学 2018-12-19 Fan Yang

Sub-sub-intuitionistic logic is obtained from intuitionistic logic by weakening the implication and removing distributivity. It can alternatively be viewed as conditional weak positive logic. We provide semantics for sub-sub-intuitionistic…

逻辑 · 数学 2024-08-23 Jonte Deakin , Jim de Groot

This paper presents a new ontology that implements the well-known Deontic Traditional Scheme in RDFs and SPARQL, fit to handle irresolvable conflicts, i.e., situations in which two or more statements prescribe conflicting obligations,…

人工智能 · 计算机科学 2025-10-28 Livio Robaldo , Gianluca Pozzato