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Guido Governatori & Antonino Rotolo (2006). Logic of Violations: A Gentzen System for Reasoning with Contrary-To-Duty Obligations.

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  1.  14
    Obligation as Optimal Goal Satisfaction.Robert Kowalski & Ken Satoh - 2018 - Journal of Philosophical Logic 47 (4):579-609.
    Formalising deontic concepts, such as obligation, prohibition and permission, is normally carried out in a modal logic with a possible world semantics, in which some worlds are better than others. The main focus in these logics is on inferring logical consequences, for example inferring that the obligation O q is a logical consequence of the obligations O p and O. In this paper we propose a non-modal approach in which obligations are preferred ways of satisfying goals expressed in first-order logic. (...)
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    Toleration and the Design of Norms.Luciano Floridi - 2015 - Science and Engineering Ethics 21 (5):1095-1123.
    One of the pressing challenges we face today—in a post-Westphalian order and post-Bretton Woods world —is how to design the right kind of MAS that can take full advantage of the socio-economic and political progress made so far, while dealing successfully with the new global challenges that are undermining the best legacy of that very progress. This is the topic of the article. In it, I argue that in order to design the right kind of MAS, we need to design (...)
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    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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    Computing Strong and Weak Permissions in Defeasible Logic.Guido Governatori, Francesco Olivieri, Antonino Rotolo & Simone Scannapieco - 2013 - Journal of Philosophical Logic 42 (6):799-829.
    In this paper we propose an extension of Defeasible Logic to represent and compute different concepts of defeasible permission. In particular, we discuss some types of explicit permissive norms that work as exceptions to opposite obligations or encode permissive rights. Moreover, we show how strong permissions can be represented both with, and without introducing a new consequence relation for inferring conclusions from explicit permissive norms. Finally, we illustrate how a preference operator applicable to contrary-to-duty obligations can be combined with a (...)
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