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In this paper we investigate the relationships between a multipreferential semantics for defeasible reasoning in knowledge representation and a multilayer neural network model. Weighted knowledge bases for a simple description logic with…

Artificial Intelligence · Computer Science 2023-09-20 Mario Alviano , Francesco Bartoli , Marco Botta , Roberto Esposito , Laura Giordano , Daniele Theseider Dupré

Weighted knowledge bases for description logics with typicality have been recently considered under a "concept-wise" multipreference semantics (in both the two-valued and fuzzy case), as the basis of a logical semantics of MultiLayer…

Artificial Intelligence · Computer Science 2022-05-18 Laura Giordano , Daniele Theseider Dupré

Weighted knowledge bases for description logics with typicality have been recently considered under a "concept-wise" multipreference semantics (in both the two-valued and fuzzy case), as the basis of a logical semantics of Multilayer…

Artificial Intelligence · Computer Science 2021-09-20 Laura Giordano , Daniele Theseider Dupré

Inthispaperwedescribeaconcept-wisemulti-preferencesemantics for description logic which has its root in the preferential approach for modeling defeasible reasoning in knowledge representation. We argue that this proposal, beside satisfying…

Artificial Intelligence · Computer Science 2020-09-03 Laura Giordano , Valentina Gliozzi , Daniele Theseider Dupré

Most recently, Answer Set Programming (ASP) is attracting interest as a new paradigm for problem solving. An important aspect which needs to be supported is the handling of preferences between rules, for which several approaches have been…

Logic in Computer Science · Computer Science 2008-02-21 Thomas Eiter , Wolfgang Faber , Nicola Leone , Gerald Pfeifer

In this paper we investigate the relationships between a multipreferential semantics for defeasible reasoning in knowledge representation and a deep neural network model. Weighted knowledge bases for description logics are considered under…

Artificial Intelligence · Computer Science 2021-01-26 Laura Giordano , Daniele Theseider Dupré

We present an extension-based approach for computing and verifying preferences in an abstract argumentation system. Although numerous argumentation semantics have been developed previously for identifying acceptable sets of arguments from…

Artificial Intelligence · Computer Science 2024-03-27 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

Weighted knowledge bases for description logics with typicality under a "concept-wise" multi-preferential semantics provide a logical interpretation of MultiLayer Perceptrons. In this context, Answer Set Programming (ASP) has been shown to…

Artificial Intelligence · Computer Science 2023-03-28 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

In this paper we discuss the relationships between conditional and preferential logics and neural network models, based on a multi-preferential semantics. We propose a concept-wise multipreference semantics, recently introduced for…

Artificial Intelligence · Computer Science 2021-07-13 Laura Giordano , Valentina Gliozzi , Daniele Theseider Dupré

We define a modular multi-concept extension of the lexicographic closure semantics for defeasible description logics with typicality. The idea is that of distributing the defeasible properties of concepts into different modules, according…

Artificial Intelligence · Computer Science 2020-09-07 Laura Giordano , Daniele Theseider Dupré

Various structured argumentation frameworks utilize preferences as part of their standard inference procedure to enable reasoning with preferences. In this paper, we consider an inverse of the standard reasoning problem, seeking to identify…

Artificial Intelligence · Computer Science 2020-05-13 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

Preference mechanisms, such as human preference, LLM-as-a-Judge (LaaJ), and reward models, are central to aligning and evaluating large language models (LLMs). Yet, the underlying concepts that drive these preferences remain poorly…

Computation and Language · Computer Science 2025-05-30 Nitay Calderon , Liat Ein-Dor , Roi Reichart

In this paper we propose a general approach to define a many-valued preferential interpretation of gradual argumentation semantics. The approach allows for conditional reasoning over arguments and boolean combination of arguments, with…

Artificial Intelligence · Computer Science 2025-06-10 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

In logic programming under the answer set semantics, preferences on rules are used to choose which of the conflicting rules are applied. Many interesting semantics have been proposed. Brewka and Eiter's Principle I expresses the basic…

Logic in Computer Science · Computer Science 2014-04-29 Alexander Šimko

We endow prioritised default logic (PDL) with argumentation semantics using the ASPIC+ framework for structured argumentation, and prove that the conclusions of the justified arguments are exactly the prioritised default extensions.…

Artificial Intelligence · Computer Science 2015-07-02 Anthony P. Young , Sanjay Modgil , Odinaldo Rodrigues

Starting from the observation that rational closure has the undesirable property of being an "all or nothing" mechanism, we here propose a multipreferential semantics, which enriches the preferential semantics underlying rational closure in…

Artificial Intelligence · Computer Science 2018-01-23 Laura Giordano , Valentina Gliozzi

In the pursuit of enhancing the efficacy and flexibility of interpretable, data-driven classification models, this work introduces a novel incorporation of user-defined preferences with Abstract Argumentation and Case-Based Reasoning (CBR).…

Artificial Intelligence · Computer Science 2024-08-06 Adam Gould , Guilherme Paulino-Passos , Seema Dadhania , Matthew Williams , Francesca Toni

This paper builds on the recent ASPIC+ formalism, to develop a general framework for argumentation with preferences. We motivate a revised definition of conflict free sets of arguments, adapt ASPIC+ to accommodate a broader range of…

Artificial Intelligence · Computer Science 2018-04-19 Sanjay Modgil , Henry Prakken

Explainable AI is an emerging field providing solutions for acquiring insights into automated systems' rationale. It has been put on the AI map by suggesting ways to tackle key ethical and societal issues. Existing explanation techniques…

Machine Learning · Computer Science 2022-05-02 Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

Assumption-based argumentation (ABA) is a central structured argumentation formalism. As shown recently, answer set programming (ASP) enables efficiently solving NP-hard reasoning tasks of ABA in practice, in particular in the commonly…

Artificial Intelligence · Computer Science 2021-08-10 Tuomo Lehtonen , Johannes P. Wallner , Matti Järvisalo
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