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We introduce a new semantics for justification logic based on subset relations. Instead of using the established and more symbolic interpretation of justifications, we model justifications as sets of possible worlds. We introduce a new…

Logic · Mathematics 2020-08-19 Eveline Lehmann , Thomas Studer

A term calculus for the proofs in multiplicative-additive linear logic is introduced and motivated as a programming language for channel based concurrency. The term calculus is proved complete for a semantics in linearly distributive…

Category Theory · Mathematics 2010-03-03 J. R. B. Cockett , C. A. Pastro

In this paper, we study the effect of preferences in abstract argumentation under a claim-centric perspective. Recent work has revealed that semantical and computational properties can change when reasoning is performed on claim-level…

Artificial Intelligence · Computer Science 2022-04-29 Michael Bernreiter , Wolfgang Dvorak , Anna Rapberger , Stefan Woltran

Complex reasoning problems are most clearly and easily specified using logical rules, but require recursive rules with aggregation such as count and sum for practical applications. Unfortunately, the meaning of such rules has been a…

Databases · Computer Science 2023-08-29 Yanhong A. Liu , Scott D. Stoller

In quantum logical terms, Hardy-type arguments can be uniformly presented and extended as collections of intertwined contexts and their observables. If interpreted classically those structures serve as graph-theoretic "gadgets" that enforce…

Quantum Physics · Physics 2023-06-29 Karl Svozil

This paper presents Abduction and Argumentation as two principled forms for reasoning, and fleshes out the fundamental role that they can play within Machine Learning. It reviews the state-of-the-art work over the past few decades on the…

Artificial Intelligence · Computer Science 2020-10-27 Antonis Kakas , Loizos Michael

Argumentation accommodates various rhetorical devices, such as questions, reported speech, and imperatives. These rhetorical tools usually assert argumentatively relevant propositions rather implicitly, so understanding their true meaning…

Computation and Language · Computer Science 2020-10-07 Yohan Jo , Jacky Visser , Chris Reed , Eduard Hovy

The use of argumentation in education has been shown to improve critical thinking skills for end-users such as students, and computational models for argumentation have been developed to assist in this process. Although these models are…

Computation and Language · Computer Science 2023-07-31 Camélia Guerraoui , Paul Reisert , Naoya Inoue , Farjana Sultana Mim , Shoichi Naito , Jungmin Choi , Irfan Robbani , Wenzhi Wang , Kentaro Inui

Epistemic logics of intensional groups lift the assumption that membership in a group of agents is common knowledge. Instead of being represented directly as a set of agents, intensional groups are represented by a property that may change…

Logic in Computer Science · Computer Science 2023-07-12 Marta Bílková , Igor Sedlár

After a few decades of development, computational argumentation has become one of the active realms in AI. This paper considers extension-based concrete and abstract semantics of argumentation. For concrete ones, based on Grossi and…

Artificial Intelligence · Computer Science 2021-05-21 Lixing Tan , Zhaohui Zhu , Jinjin Zhang

Argumentation is a promising model for reasoning with uncertain knowledge. The key concept of acceptability enables to differentiate arguments and counterarguments: The certainty of a proposition can then be evaluated through the most…

Artificial Intelligence · Computer Science 2013-02-01 Leila Amgoud , Claudette Cayrol

We apply ideas from abstract argumentation theory to study cooperative game theory. Building on Dung's results in his seminal paper, we further the correspondence between Dung's four argumentation semantics and solution concepts in…

Computer Science and Game Theory · Computer Science 2020-01-06 Anthony P. Young , David Kohan Marzagao , Josh Murphy

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…

Artificial Intelligence · Computer Science 2022-09-13 Nico Roos

Strong equivalence between knowledge bases ensures the possibility of replacing one with the other without affecting reasoning outcomes, in any given context. This makes it a crucial property in nonmonotonic formalisms. In particular, the…

Artificial Intelligence · Computer Science 2026-05-15 Giovanni Buraglio , Wolfgang Dvorak , Stefan Woltran

In the interaction between agents we can have an explicative discourse, when communicating preferences or intentions, and a normative discourse, when considering normative knowledge. For justifying their actions our agents are endowed with…

Artificial Intelligence · Computer Science 2013-04-16 Ioan Alfred Letia , Adrian Groza

Arguments are essential objects in DirectDemocracyP2P, where they can occur both in association with signatures for petitions, or in association with other debated decisions, such as bug sorting by importance. The arguments of a signer on a…

Artificial Intelligence · Computer Science 2014-11-21 Marius C. Silaghi , Roussi Roussev

Judgment aggregation is a general framework for collective decision making that can be used to model many different settings. Due to its general nature, the worst case complexity of essentially all relevant problems in this framework is…

Artificial Intelligence · Computer Science 2018-08-10 Ronald de Haan

Among the most general structures extending the framework by Dung are the abstract dialectical frameworks (ADFs). They come equipped with various types of semantics, with the most prominent - the labeling-based one - analyzed in the context…

Artificial Intelligence · Computer Science 2016-07-05 Sylwia Polberg

The intent of control argumentation frameworks is to specifically model strategic scenarios from the perspective of an agent by extending the standard model of argumentation framework in a way that takes unquantified uncertainty regarding…

Artificial Intelligence · Computer Science 2022-10-24 Minal Suresh Patil

Argument mining systems often consider contextual information, i.e. information outside of an argumentative discourse unit, when trained to accomplish tasks such as argument component identification, classification, and relation extraction.…

Computation and Language · Computer Science 2021-02-23 Luca Lugini , Diane Litman