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Rule-based reasoning, a fundamental type of legal reasoning, enables us to draw conclusions by accurately applying a rule to a set of facts. We explore causal language models as rule-based reasoners, specifically with respect to…

Computation and Language · Computer Science 2024-02-26 Sergio Servantez , Joe Barrow , Kristian Hammond , Rajiv Jain

The purpose of the paper is to introduce a new approach of planning called Assumption-Based Planning. This approach is a very interesting way to devise a planner based on a multi-agent system in which the production of a global shared plan…

Artificial Intelligence · Computer Science 2018-10-22 Damien Pellier , Humbert Fiorino

Different theorem provers tend to produce proof objects in different formats and this is especially the case for modal logics, where several deductive formalisms (and provers based on them) have been presented. This work falls within the…

Logic in Computer Science · Computer Science 2016-09-15 Tomer Libal , Marco Volpe

The lack of annotated data on professional argumentation and complete argumentative debates has led to the oversimplification and the inability of approaching more complex natural language processing tasks. Such is the case of the automatic…

Computation and Language · Computer Science 2024-01-23 Ramon Ruiz-Dolz , Stella Heras , Ana García-Fornes

In abstract argumentation, multiple argumentation semantics have been proposed that allow to select sets of jointly acceptable arguments from a given argumentation framework, i.e. based only on the attack relation between arguments. The…

Artificial Intelligence · Computer Science 2019-02-28 Marcos Cramer , Mathieu Guillaume

To appear in Theory and Practice of Logic Programming (TPLP). Tabling is a commonly used technique in logic programming for avoiding cyclic behavior of logic programs and enabling more declarative program definitions. Furthermore, tabling…

Programming Languages · Computer Science 2020-02-19 Thepfrastos Mantadelis , Ricardo Rocha , Paulo Moura

In abstract argumentation theory, many argumentation semantics have been proposed for evaluating argumentation frameworks. This paper is based on the following research question: Which semantics corresponds well to what humans consider a…

Artificial Intelligence · Computer Science 2019-08-23 Marcos Cramer , Leendert van der Torre

We present tableau calculi for some logics of nonmonotonic reasoning, as defined by Kraus, Lehmann and Magidor. We give a tableau proof procedure for all KLM logics, namely preferential, loop-cumulative, cumulative and rational logics. Our…

Logic in Computer Science · Computer Science 2007-05-23 Laura Giordano , Valentina Gliozzi , Nicola Olivetti , Gian Luca Pozzato

We define an inference system to capture explanations based on causal statements, using an ontology in the form of an IS-A hierarchy. We first introduce a simple logical language which makes it possible to express that a fact causes another…

Artificial Intelligence · Computer Science 2010-05-02 Philippe Besnard , Marie-Odile Cordier , Yves Moinard

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

We generalize intuitionistic tense logics to the multi-modal case by placing grammar logics on an intuitionistic footing. We provide axiomatizations for a class of base intuitionistic grammar logics as well as provide axiomatizations for…

Logic · Mathematics 2021-10-05 Tim S. Lyon

Argumentation is a type of discourse where speakers try to persuade their audience about the reasonableness of a claim by presenting supportive arguments. Most work in argument mining has focused on modeling arguments in monologues. We…

Computation and Language · Computer Science 2020-05-01 Tuhin Chakrabarty , Christopher Hidey , Smaranda Muresan , Kathy Mckeown , Alyssa Hwang

We offer the proofs that complete our article introducing the propositional calculus called semi-intuitionistic logic with strong negation.

Logic · Mathematics 2017-09-01 Juan Manuel Cornejo , Ignacio Viglizzo

This paper presents a novel framework for structured argumentation, named extend argumentative decision graph ($xADG$). It is an extension of argumentative decision graphs built upon Dung's abstract argumentation graphs. The $xADG$…

Artificial Intelligence · Computer Science 2023-11-15 Lucas Rizzo , Luca Longo

We propose and investigate a simple ranking-measure-based extension semantics for abstract argumentation frameworks based on their generic instantiation by default knowledge bases and the ranking construction semantics for default…

Artificial Intelligence · Computer Science 2014-07-17 Emil Weydert

In some contexts, well-formed natural language cannot be expected as input to information or communication systems. In these contexts, the use of grammar-independent input (sequences of uninflected semantic units like e.g.…

Computation and Language · Computer Science 2007-05-23 Pascal Vaillant

We present a novel approach to construction of a formal semantics for a programming language. Our approach, using a parametric denotational semantics, allows the semantics to be easily extended to support new language features, and…

Programming Languages · Computer Science 2018-12-04 In-Ho Yi

We present argumentation schemes to model reasoning with legal cases. We provide schemes for each of the three stages that take place after the facts are established: factor ascription, issue resolution and outcome determination. The…

Artificial Intelligence · Computer Science 2022-10-04 Trevor Bench-Capon , Katie Atkinson

Artificial Intelligence (AI) is being increasingly used to develop systems that produce intelligent solutions. However, there is a major concern that whether the systems built will be trusted by humans. In order to establish trust in AI…

Artificial Intelligence · Computer Science 2020-05-13 Quratul-ain Mahesar , Simon Parsons

Gradual semantics with abstract argumentation provide each argument with a score reflecting its acceptability, i.e. how "much" it is attacked by other arguments. Many different gradual semantics have been proposed in the literature, each…

Artificial Intelligence · Computer Science 2022-02-02 Nir Oren , Bruno Yun , Srdjan Vesic , Murilo Baptista
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