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  1. Norm-System Revision: Theory and Application. [REVIEW]Audun Stolpe - 2010 - Artificial Intelligence and Law 18 (3):247-283.
    This paper generalises classical revision theory of the AGM brand to sets of norms. This is achieved substituting input/output logic for classical logic and tracking the changes. Operations of derogation and amendment—analogues of contraction and revision—are defined and characterised, and the precise relationship between contraction and derogation, on the one hand, and derogation and amendment on the other, is established. It is argued that the notion of derogation, in particular, is a very important analytical tool, and that even core deontic (...)
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  • Deontic Logics for Prioritized Imperatives.Jörg Hansen - 2006 - Artificial Intelligence and Law 14 (1-2):1-34.
    When a conflict of duties arises, a resolution is often sought by use of an ordering of priority or importance. This paper examines how such a conflict resolution works, compares mechanisms that have been proposed in the literature, and gives preference to one developed by Brewka and Nebel. I distinguish between two cases – that some conflicts may remain unresolved, and that a priority ordering can be determined that resolves all – and provide semantics and axiomatic systems for accordingly defined (...)
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  • Variants of Multi-Relational Semantics for Propositional Non-Normal Modal Logics.Erica Calardo & Antonino Rotolo - 2014 - Journal of Applied Non-Classical Logics 24 (4):293-320.
    A number of significant contributions in the last four decades show that non-normal modal logics can be fruitfully employed in several applied fields. Well-known domains are epistemic logic, deontic logic, and systems capturing different aspects of action and agency such as the modal logic of agency, concurrent propositional dynamic logic, game logic, and coalition logic. Semantics for such logics are traditionally based on neighbourhood models. However, other model-theoretic semantics can be used for this purpose. Here, we systematically study multi-relational structures, (...)
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  • Obligations and Prohibitions in Talmudic Deontic Logic.M. Abraham, D. M. Gabbay & U. Schild - 2011 - Artificial Intelligence and Law 19 (2-3):117-148.
    This paper examines the deontic logic of the Talmud. We shall find, by looking at examples, that at first approximation we need deontic logic with several connectives: O T A Talmudic obligation F T A Talmudic prohibition F D A Standard deontic prohibition O D A Standard deontic obligation. In classical logic one would have expected that deontic obligation O D is definable by $O_DA \equiv F_D\neg A$ and that O T and F T are connected by $O_TA \equiv F_T\neg (...)
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  • Maximality Vs. Optimality in Dyadic Deontic Logic.Xavier Parent - 2014 - Journal of Philosophical Logic 43 (6):1101-1128.
    This paper reports completeness results for dyadic deontic logics in the tradition of Hansson’s systems. There are two ways to understand the core notion of best antecedent-worlds, which underpins such systems. One is in terms of maximality, and the other in terms of optimality. Depending on the choice being made, one gets different evaluation rules for the deontic modalities, but also different versions of the so-called limit assumption. Four of them are disentangled, and compared. The main observation of this paper (...)
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  • Consequences of Reasoning with Conflicting Obligations.Shyam Nair - 2014 - Mind 123 (491):753-790.
    Since at least the 1960s, deontic logicians and ethicists have worried about whether there can be normative systems that allow conflicting obligations. Surprisingly, however, little direct attention has been paid to questions about how we may reason with conflicting obligations. In this paper, I present a problem for making sense of reasoning with conflicting obligations and argue that no deontic logic can solve this problem. I then develop an account of reasoning based on the popular idea in ethics that reasons (...)
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  • Ten Philosophical Problems in Deontic Logic.Gabriella Pigozzi, J. Hansen & Leon van der Torre - manuscript
    The paper discusses ten philosophical problems in deontic logic: how to formally represent norms, when a set of norms may be termed ‘coherent’, how to deal with normative conflicts, how contraryto-duty obligations can be appropriately modeled, how dyadic deontic operators may be redefined to relate to sets of norms instead of preference relations between possible worlds, how various concepts of permission can be accommodated, how meaning postulates and counts-as conditionals can be taken into account, and how sets of norms may (...)
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  • Deontic Logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
  • Priority Structures in Deontic Logic.Johan van Benthem, Davide Grossi & Fenrong Liu - 2014 - Theoria 80 (2):116-152.
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  • Two Adaptive Logics of Norm-Propositions.Mathieu Beirlaen & Christian Straßer - 2013 - Journal of Applied Logic 11 (2):147-168.
    We present two defeasible logics of norm-propositions (statements about norms) that (i) consistently allow for the possibility of normative gaps and normative conflicts, and (ii) map each premise set to a sufficiently rich consequence set. In order to meet (i), we define the logic LNP, a conflict- and gap-tolerant logic of norm-propositions capable of formalizing both normative conflicts and normative gaps within the object language. Next, we strengthen LNP within the adaptive logic framework for non-monotonic reasoning in order to meet (...)
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  • Completeness of Åqvist’s Systems E and F.Xavier Parent - 2015 - Review of Symbolic Logic 8 (1):164-177.
  • Priority Structures in Deontic Logic.Johan Benthem, Davide Grossi & Fenrong Liu - 2014 - Theoria 80 (2):116-152.
    This article proposes a systematic application of recent developments in the logic of preference to a number of topics in deontic logic. The key junction is the well-known Hansson conditional for dyadic obligations. These conditionals are generalized by pairing them with reasoning about syntactic priority structures. The resulting two-level approach to obligations is tested first against standard scenarios of contrary-to-duty obligations, leading also to a generalization for the Kanger-Anderson reduction of deontic logic. Next, the priority framework is applied to model (...)
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