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  1. A Logical Account of Formal Argumentation.Yining Wu, Martin Caminada & Dov M. Gabbay - 2009 - Studia Logica 93 (2-3):383-403.
    In this paper, we prove the correspondence between complete extensions in abstract argumentation and 3-valued stable models in logic programming. This result is in line with earlier work of [6] that identified the correspondence between the grounded extension in abstract argumentation and the well-founded model in logic programming, as well as between the stable extensions in abstract argumentation and the stable models in logic programming.
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  • Evaluating dialectical structures with Bayesian methods.Gregor Betz - 2008 - Synthese 163 (1):25-44.
    This paper shows how complex argumentation, analyzed as dialectical structures, can be evaluated within a Bayesian framework by interpreting them as coherence constraints on subjective degrees of belief. A dialectical structure is a set of arguments (premiss-conclusion structure) among which support- and attack-relations hold. This approach addresses the observation that some theses in a debate can be better justified than others and thus fixes a shortcoming of a theory of defeasible reasoning which applies the bivalence principle to argument evaluations by (...)
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  • Computational Representation of Practical Argument.Katie Atkinson, Trevor Bench-Capon & Peter McBurney - 2006 - Synthese 152 (2):157-206.
    In this paper we consider persuasion in the context of practical reasoning, and discuss the problems associated with construing reasoning about actions in a manner similar to reasoning about beliefs. We propose a perspective on practical reasoning as presumptive justification of a course of action, along with critical questions of this justification, building on the account of Walton. From this perspective, we articulate an interaction protocol, which we call PARMA, for dialogues over proposed actions based on this theory. We outline (...)
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  • Evaluating Dialectical Structures.Gregor Betz - 2009 - Journal of Philosophical Logic 38 (3):283-312.
    This paper develops concepts and procedures for the evaluation of complex debates. They provide means for answering such questions as whether a thesis has to be considered as proven or disproven in a debate or who carries a burden of proof. While being based on classical logic, this framework represents an (argument-based) approach to non-monotonic, or defeasible reasoning. Debates are analysed as dialectical structures, i.e. argumentation systems with an attack- as well as a support-relationship. The recursive status assignment over the (...)
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  • Theory of Semi-Instantiation in Abstract Argumentation.D. M. Gabbay - 2016 - Logica Universalis 10 (4):431-516.
    We study instantiated abstract argumentation frames of the form, where is an abstract argumentation frame and where the arguments x of S are instantiated by I as well formed formulas of a well known logic, for example as Boolean formulas or as predicate logic formulas or as modal logic formulas. We use the method of conceptual analysis to derive the properties of our proposed system. We seek to define the notion of complete extensions for such systems and provide algorithms for (...)
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  • Probabilistic abstract argumentation: an investigation with Boltzmann machines.Régis Riveret, Dimitrios Korkinof, Moez Draief & Jeremy Pitt - 2015 - Argument and Computation 6 (2):178-218.
    Probabilistic argumentation and neuro-argumentative systems offer new computational perspectives for the theory and applications of argumentation, but their principled construction involves two entangled problems. On the one hand, probabilistic argumentation aims at combining the quantitative uncertainty addressed by probability theory with the qualitative uncertainty of argumentation, but probabilistic dependences amongst arguments as well as learning are usually neglected. On the other hand, neuro-argumentative systems offer the opportunity to couple the computational advantages of learning and massive parallel computation from neural networks (...)
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  • Argumentation and belief updating in social networks: a Bayesian approach.George Masterton & Erik J. Olsson - unknown
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  • Equilibrium States in Numerical Argumentation Networks.D. M. Gabbay & O. Rodrigues - 2015 - Logica Universalis 9 (4):411-473.
    Given an argumentation network with initial values to the arguments, we look for algorithms which can yield extensions compatible with such initial values. We find that the best way of tackling this problem is to offer an iteration formula that takes the initial values and the attack relation and iterates a sequence of intermediate values that eventually converges leading to an extension. The properties surrounding the application of the iteration formula and its connection with other numerical and non-numerical techniques proposed (...)
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  • Syntactic awareness in logical dynamics.Davide Grossi & Fernando R. Velázquez-Quesada - 2015 - Synthese 192 (12):4071-4105.
    The paper develops an interface between syntax-based logical models of awareness and dynamic epistemic logic. The framework is shown to be able to accommodate a variety of notions of awareness and knowledge, as well as their dynamics. This, it is argued, offers a natural formal environment for the analysis of epistemic phenomena typical of multi-agent information exchange, such as how agents become aware of relevant details, how they perform inferences and how they share their information within a group. Technically, the (...)
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  • Structure of persuasive communication and elaboration likelihood model.Katarzyna Budzynska & Harry Weger Jr - unknown
    The aim of the paper is to propose a framework for the structure of persuasive communica-tion based on the Elaboration Likelihood Model by Petty and Cacioppo, the Inference Anchoring Theory by Budzynska and Reed and the Interpersonal Argumentation Model by Budzynska. The ELM suggests that there are two routes to persuasion: central and peripheral. IAT assumes that com-munication acts generate their contents and inferences by means of illocutionary connections. The model of IP-argumentation provides the general representation of arguments in which (...)
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  • Conductive arguments and the ‘inference to the best explanation’.Dean Goorden & Thomas Fischer - unknown
    I will demonstrate that conductive arguments are found in the inference to the best explana-tion as it is used in science. Conductive arguments, I argue, operate on two levels: the first is in the con-struction of hypotheses; the second is through the competition of hypotheses. By constructing arguments based on observations of facts, all possible factors are taken into account and a judgment is made based on our weighing of considerations: conductive argumentation.
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  • Issues in conductive argument weight.Thomas Fischer & Rongdong Jin - unknown
    The concept of conductive argument weight was developed by Carl Wellman and later by Trudy Govier. This concept has received renewed attention recently from another informal logician, Robert C. Pinto. Argument weight has also been addressed in recent years by theorists in AI & Law. I argue from a non-technical perspective that some aspects of AI & Law’s approach to argument weight can be usefully applied to the issues addressed by Pinto. I also relate some of these issues to the (...)
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  • The Logic of Group Decisions: Judgment Aggregation.Gabriella Pigozzi - 2015 - Journal of Philosophical Logic 44 (6):755-769.
    Judgment aggregation studies how individual opinions on a given set of propositions can be aggregated to form a consistent group judgment on the same propositions. Despite the simplicity of the problem, seemingly natural aggregation procedures fail to return consistent collective outcomes, leading to what is now known as the doctrinal paradox. The first occurrences of the paradox were discovered in the legal realm. However, the interest of judgment aggregation is much broader and extends to political philosophy, epistemology, social choice theory, (...)
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  • Senses of ‘argument’ in instantiated argumentation frameworks.Adam Wyner, Trevor Bench-Capon, Paul Dunne & Federico Cerutti - 2015 - Argument and Computation 6 (1):50-72.
    Argumentation Frameworks provide a fruitful basis for exploring issues of defeasible reasoning. Their power largely derives from the abstract nature of the arguments within the framework, where arguments are atomic nodes in an undifferentiated relation of attack. This abstraction conceals different senses of argument, namely a single-step reason to a claim, a series of reasoning steps to a single claim, and reasoning steps for and against a claim. Concrete instantiations encounter difficulties and complexities as a result of conflating these senses. (...)
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  • An argument game for stable semantics.Martin Caminada & Yining Wu - 2008 - Logic Journal of the IGPL 17 (1):77-90.
    In this paper, we present a discussion game for argumentation under stable semantics. Our work is inspired by Vreeswijk and Prakken, who have defined a similar game for preferred semantics. In the current paper, we restate Vreeswijk and Prakken's work using the approach of argument labellings and then show how it can be adjusted for stable semantics. The nature of the resulting argument game is somewhat unusual, since stable semantics does not satisfy the property of relevance.
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  • Inconsistent-tolerant base revision through Argument Theory Change.Martín Moguillansky, Renata Wassermann & Marcelo Falappa - 2012 - Logic Journal of the IGPL 20 (1):154-186.
    Reasoning and change over inconsistent knowledge bases is of utmost relevance in areas like medicine and law. Argumentation may bring the possibility to cope with both problems. Firstly, by constructing an argumentation framework from the inconsistent KB, we can decide whether to accept or reject a certain claim through the interplay among arguments and counterarguments. Secondly, by handling dynamics of arguments of the AF, we might deal with the dynamics of knowledge of the underlying inconsistent KB. Dynamics of arguments has (...)
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  • Context-aware reconfiguration of large-scale surveillance systems: argumentative approach.Peter Novák & Cees Witteveen - 2015 - Argument and Computation 6 (1):3-23.
    The Metis research project aims at supporting maritime safety and security by facilitating continuous monitoring of vessels in national coastal waters and prevention of phenomena, such as vessel collisions, environmental hazard, or detection of malicious intents, such as smuggling. Surveillance systems such as Metis typically comprise a number of heterogeneous information sources and information aggregators. Among the main problems of their deployment lies their scalability with respect to a potentially large number of monitored entities. One of the solutions to the (...)
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  • Weinstein, Mark: Logic, Truth and Inquiry: College Publications, London, 2013.J. B. Freeman - 2015 - Argumentation 29 (3):361-377.
    In this essay, Weinstein wants to address the issue of argument strength, of how strongly the premises of an argument support a conclusion. Using the framework of the Toulmin model, arguments have warrants which indicate some general connection between the premises and the conclusion of the argument. We may ask for the backing of the warrant, evidence for it. If the connection is an empirical generalization, the backing includes data supporting the generalization. But the backing may include theoretical generalizations, which (...)
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  • Equivalence in logic-based argumentation.Leila Amgoud, Philippe Besnard & Srdjan Vesic - 2014 - Journal of Applied Non-Classical Logics 24 (3):181-208.
    This paper investigates when two abstract logic-based argumentation systems are equivalent. It defines various equivalence criteria, investigates the links between them, and identifies cases where two systems are equivalent with respect to each of the proposed criteria. In particular, it shows that under some reasonable conditions on the logic underlying an argumentation system, the latter has an equivalent finite subsystem, called core. This core constitutes a threshold under which arguments of the system have not yet attained their final status and (...)
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  • Structured Arguments and Their Aggregation: A Reply to Selinger.Chris Reed - 2014 - Argumentation 28 (3):395-399.
    Selinger provides a new take on what is being referred to in the computational literature as ‘structured argumentation’. In this commentary the differences and similarities with existing work are highlighted as a way of demonstrating how philosophical and computational approaches to argumentation are increasingly coming together and complementing one another.
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  • Towards Formal Representation and Evaluation of Arguments.Marcin Selinger - 2014 - Argumentation 28 (3):379-393.
    The aim of this paper is to propose foundations for a formal model of representation and numerical evaluation of a possibly broad class of arguments, including those that occur in natural discourse. Since one of the most characteristic features of everyday argumentation is the occurrence of convergent reasoning, special attention should be paid to the operation ⊕, which allows us to calculate the logical force of convergent arguments with an accuracy not offered by other approaches.
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  • An argumentation-based approach for reasoning about trust in information sources.Leila Amgoud & Robert Demolombe - 2014 - Argument and Computation 5 (2-3):191-215.
    During a dialogue, agents exchange information with each other and need thus to deal with incoming information. For that purpose, they should be able to reason effectively about trustworthiness of information sources. This paper proposes an argument-based system that allows an agent to reason about its own beliefs and information received from other sources. An agent's beliefs are of two kinds: beliefs about the environment and beliefs about trusting sources . Six basic forms of trust are discussed in the paper (...)
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  • Trust and argumentation in multi-agent systems.Andrew Koster - 2014 - Argument and Computation 5 (2-3):123-138.
    This survey is the first to review the combination of computational trust and argumentation. The combination of the two approaches seems like a natural match, with the two areas tackling different aspects of reasoning in an uncertain, social environment. We discuss the different areas of research and describe the approaches taken so far, analysing both how they address the problems and the challenges that are unaddressed.
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  • A Logical Account of Formal Argumentation.Martin W. A. Caminada & Dov M. Gabbay - 2009 - Studia Logica 93 (2-3):109-145.
    In the current paper, we re-examine how abstract argumentation can be formulated in terms of labellings, and how the resulting theory can be applied in the field of modal logic. In particular, we are able to express the (complete) extensions of an argumentation framework as models of a set of modal logic formulas that represents the argumentation framework. Using this approach, it becomes possible to define the grounded extension in terms of modal logic entailment.
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  • A tutorial on assumption-based argumentation.Francesca Toni - 2014 - Argument and Computation 5 (1):89-117.
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  • Defeasible logic programming: DeLP-servers, contextual queries, and explanations for answers.Alejandro J. García & Guillermo R. Simari - 2014 - Argument and Computation 5 (1):63-88.
    Argumentation represents a way of reasoning over a knowledge base containing possibly incomplete and/or inconsistent information, to obtain useful conclusions. As a reasoning mechanism, the way an argumentation reasoning engine reaches these conclusions resembles the cognitive process that humans follow to analyze their beliefs; thus, unlike other computationally reasoning systems, argumentation offers an intellectually friendly alternative to other defeasible reasoning systems. LogicProgrammingisacomputationalparadigmthathasproducedcompu- tationallyattractivesystemswithremarkablesuccessinmanyapplications. Merging ideas from both areas, Defeasible Logic Programming offers a computational reasoning system that uses an argumentation engine (...)
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  • Handling controversial arguments.Sylvie Coste-Marquis, Caroline Devred & Pierre Marquis - 2009 - Journal of Applied Non-Classical Logics 19 (3):311-369.
    We present two prudent semantics within Dung's theory of argumentation. They are based on two new notions of extension, referred to as p-extension and c-extension. Two arguments cannot belong to the same p-extension whenever one of them attacks indirectly the other one. Two arguments cannot belong to the same c-extension whenever one of them indirectly attacks a third argument while the other one indirectly defends the third. We argue that our semantics lead to a better handling of controversial arguments than (...)
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  • Propositional discourse logic.Sjur Dyrkolbotn & Michał Walicki - 2014 - Synthese 191 (5):863-899.
    A novel normal form for propositional theories underlies the logic pdl, which captures some essential features of natural discourse, independent from any particular subject matter and related only to its referential structure. In particular, pdlallows to distinguish vicious circularity from the innocent one, and to reason in the presence of inconsistency using a minimal number of extraneous assumptions, beyond the classical ones. Several, formally equivalent decision problems are identified as potential applications: non-paradoxical character of discourses, admissibility of arguments in argumentation (...)
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  • Je formální logika vědou o rozumných argumentech?'.Svatopluk Nevrkla - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18:499-511.
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  • From Deduction to Knowledge Representation.Michal Vince & Jan Sefranek - 2013 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 20:216-234.
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  • An argumentation model of forensic evidence in fine art attribution.Douglas Walton - 2013 - AI and Society 28 (4):509-530.
    In this paper, a case study is conducted to test the capability of the Carneades Argumentation System to model the argumentation in a case where forensic evidence was collected in an investigation triggered by a conflict among art experts on the attribution of a painting to Leonardo da Vinci. A claim that a portrait of a young woman in a Renaissance dress could be attributed to da Vinci was initially dismissed by art experts. Forensic investigations were carried out, and evidence (...)
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  • On the Transparency of Defeasible Logics: Equivalent Premise Sets, Equivalence of Their Extensions, and Maximality of the Lower Limit.Diderik Batens, Christian Strasser & Peter Verdée - 2009 - Logique Et Analyse 52 (207):281-304.
    For Tarski logics, there are simple criteria that enable one to conclude that two premise sets are equivalent. We shall show that the very same criteria hold for adaptive logics, which is a major advantage in comparison to other approaches to defeasible reasoning forms. A related property of Tarski logics is that the extensions of equivalent premise sets with the same set of formulas are equivalent premise sets. This does not hold for adaptive logics. However a very similar criterion does. (...)
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  • Argument-based extended logic programming with defeasible priorities.Henry Prakken & Giovanni Sartor - 1997 - Journal of Applied Non-Classical Logics 7 (1-2):25-75.
    ABSTRACT Inspired by legal reasoning, this paper presents a semantics and proof theory of a system for defeasible argumentation. Arguments are expressed in a logic-programming language with both weak and strong negation, conflicts between arguments are decided with the help of priorities on the rules. An important feature of the system is that these priorities are not fixed, but are themselves defeasibly derived as conclusions within the system. Thus debates on the choice between conflicting arguments can also be modelled. The (...)
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  • Evaluating Arguments Based on Toulmin’s Scheme.Bart Verheij - 2005 - Argumentation 19 (3):347-371.
    Toulmin’s scheme for the layout of arguments (1958, The Uses of Argument, Cambridge University Press, Cambridge) represents an influential tool for the analysis of arguments. The scheme enriches the traditional premises-conclusion model of arguments by distinguishing additional elements, like warrant, backing and rebuttal. The present paper contains a formal elaboration of Toulmin’s scheme, and extends it with a treatment of the formal evaluation of Toulmin-style arguments, which Toulmin did not discuss at all. Arguments are evaluated in terms of a so-called (...)
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  • The chronometrics of confirmation bias: Evidence for the inhibition of intuitive judgements.Edward Jn Stupple & Linden J. Ball - 2011 - Behavioral and Brain Sciences 34 (2):89-90.
    Mercier & Sperber (M&S) claim that the phenomenon of belief bias provides fundamental support for their argumentative theory and its basis in intuitive judgement. We propose that chronometric evidence necessitates a more nuanced account of belief bias that is not readily captured by argumentative theory.
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  • Reasoning as a lie detection device (Commentary on Mercier and Sperber:'Why do humans reason? Arguments for an argumentative theory').Jean-Louis Dessalles - 2011 - Behavioral and Brain Sciences 34 (2):76-77.
    The biological function of human reasoning abilities cannot be to improve shared knowledge. This is at best a side effect. A more plausible function of argumentation, and thus of reasoning, is to advertise one's ability to detect lies and errors. Such selfish behavior is closer to what we should expect from a naturally selected competence.
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  • Logical limits of abstract argumentation frameworks.Leila Amgoud & Philippe Besnard - 2013 - Journal of Applied Non-Classical Logics 23 (3):229-267.
    Dung’s (1995) argumentation framework takes as input two abstract entities: a set of arguments and a binary relation encoding attacks between these arguments. It returns acceptable sets of arguments, called extensions, w.r.t. a given semantics. While the abstract nature of this setting is seen as a great advantage, it induces a big gap with the application that it is used to. This raises some questions about the compatibility of the setting with a logical formalism (i.e., whether it is possible to (...)
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  • Equilibria in social belief removal.Richard Booth & Thomas Meyer - 2010 - Synthese 177 (1):97 - 123.
    In studies of multi-agent interaction, especially in game theory, the notion of equilibrium often plays a prominent role. A typical scenario for the belief merging problem is one in which several agents pool their beliefs together to form a consistent "group" picture of the world. The aim of this paper is to define and study new notions of equilibria in belief merging. To do so, we assume the agents arrive at consistency via the use of a social belief removal function, (...)
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  • Abstract argumentation and explanation applied to scientific debates.Dunja Šešelja & Christian Straßer - 2013 - Synthese 190 (12):2195-2217.
    argumentation has been shown to be a powerful tool within many fields such as artificial intelligence, logic and legal reasoning. In this paper we enhance Dung’s well-known abstract argumentation framework with explanatory capabilities. We show that an explanatory argumentation framework (EAF) obtained in this way is a useful tool for the modeling of scientific debates. On the one hand, EAFs allow for the representation of explanatory and justificatory arguments constituting rivaling scientific views. On the other hand, different procedures for selecting (...)
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  • Debate Dynamics: How Controversy Improves Our Beliefs.Gregor Betz - 2012 - Dordrecht, Netherland: Springer.
    By means of multi-agent simulations, it investigates the truth and consensus-conduciveness of controversial debates. The book brings together research in formal epistemology and argumentation theory.
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  • The Carneades model of argument and burden of proof.Thomas F. Gordon, Henry Prakken & Douglas Walton - 2007 - Artificial Intelligence 171 (10-15):875-896.
    We present a formal, mathematical model of argument structure and evaluation, taking seriously the procedural and dialogical aspects of argumentation. The model applies proof standards to determine the acceptability of statements on an issue-by-issue basis. The model uses different types of premises (ordinary premises, assumptions and exceptions) and information about the dialectical status of statements (stated, questioned, accepted or rejected) to allow the burden of proof to be allocated to the proponent or the respondent, as appropriate, for each premise separately. (...)
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  • A model of legal reasoning with cases incorporating theories and values.Trevor Bench-Capon & Giovanni Sartor - 2003 - Artificial Intelligence 150 (1-2):97-143.
    Reasoning with cases has been a primary focus of those working in AI and law who have attempted to model legal reasoning. In this paper we put forward a formal model of reasoning with cases which captures many of the insights from that previous work. We begin by stating our view of reasoning with cases as a process of constructing, evaluating and applying a theory. Central to our model is a view of the relationship between cases, rules based on cases, (...)
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  • A Carneades reconstruction of Popov v Hayashi.Thomas F. Gordon & Douglas Walton - 2012 - Artificial Intelligence and Law 20 (1):37-56.
    Carneades is an open source argument mapping application and a programming library for building argumentation support tools. In this paper, Carneades’ support for argument reconstruction, evaluation and visualization is illustrated by modeling most of the factual and legal arguments in Popov v Hayashi.
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  • Probabilistic rule-based argumentation for norm-governed learning agents.Régis Riveret, Antonino Rotolo & Giovanni Sartor - 2012 - Artificial Intelligence and Law 20 (4):383-420.
    This paper proposes an approach to investigate norm-governed learning agents which combines a logic-based formalism with an equation-based counterpart. This dual formalism enables us to describe the reasoning of such agents and their interactions using argumentation, and, at the same time, to capture systemic features using equations. The approach is applied to norm emergence and internalisation in systems of learning agents. The logical formalism is rooted into a probabilistic defeasible logic instantiating Dung’s argumentation framework. Rules of this logic are attached (...)
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  • Using argument schemes for hypothetical reasoning in law.Trevor Bench-Capon & Henry Prakken - 2010 - Artificial Intelligence and Law 18 (2):153-174.
    This paper studies the use of hypothetical and value-based reasoning in US Supreme-Court cases concerning the United States Fourth Amendment. Drawing upon formal AI & Law models of legal argument a semi-formal reconstruction is given of parts of the Carney case, which has been studied previously in AI & law research on case-based reasoning. As part of the reconstruction, a semi-formal proposal is made for extending the formal AI & Law models with forms of metalevel reasoning in several argument schemes. (...)
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  • The modular logic of private international law.Phan Minh Dung & Giovanni Sartor - 2011 - Artificial Intelligence and Law 19 (2-3):233-261.
    We provide a logical analysis of private international law, a rather esoteric, but increasingly important, domain of the law. Private international law addresses overlaps and conflicts between legal systems by distributing cases between the authorities of such systems (jurisdiction) and establishing what rules these authorities have to apply to each case (choice of law). A formal model of the resulting interactions between legal systems is proposed based on modular argumentation. It is argued that this model may also be useful for (...)
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  • The nets of reason.Johan van Benthem - 2012 - Argument and Computation 3 (2-3):83 - 86.
    Argument & Computation, Volume 3, Issue 2-3, Page 83-86, June–September 2012.
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  • Equational approach to argumentation networks.D. M. Gabbay - 2012 - Argument and Computation 3 (2-3):87 - 142.
    This paper provides equational semantics for Dung's argumentation networks. The network nodes get numerical values in [0,1], and are supposed to satisfy certain equations. The solutions to these equations correspond to the ?extensions? of the network. This approach is very general and includes the Caminada labelling as a special case, as well as many other so-called network extensions, support systems, higher level attacks, Boolean networks, dependence on time, and much more. The equational approach has its conceptual roots in the nineteenth (...)
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  • Reasoning and argumentation: Towards an integrated psychology of argumentation.Jos Hornikx & Ulrike Hahn - 2012 - Thinking and Reasoning 18 (3):225 - 243.
    Although argumentation plays an essential role in our lives, there is no integrated area of research on the psychology of argumentation. Instead research on argumentation is conducted in a number of separate research communities that are spread across disciplines and have only limited interaction. With a view to bridging these different strands, we first distinguish between three meanings of the word ?argument?: argument as a reason, argument as a structured sequence of reasons and claims, and argument as a social exchange. (...)
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  • Processing natural language arguments with the platform.Patrick Saint-Dizier - 2012 - Argument and Computation 3 (1):49 - 82.
    In this article, we first present the platform and the Dislog language, designed for discourse analysis with a logic and linguistic perspective. The platform has now reached a certain level of maturity which allows the recognition of a large diversity of discourse structures including general-purpose rhetorical structures as well as domain-specific discourse structures. The Dislog language is based on linguistic considerations and includes knowledge access and inference capabilities. Functionalities of the language are presented together with a method for writing discourse (...)
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