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A Multi-agent Default Theory of Permission

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Book cover Nonclassical Logics and Their Applications

Part of the book series: Logic in Asia: Studia Logica Library ((LIAA))

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Abstract

This paper formulates a topology of permission by extending Horty’s prioritized default theory, in order to study permissions with different defeasible manners in a reason-based reasoning. To do so, we reconstruct the prioritized default theory augmented with permissive norms and agents, so as to examine the possible relationships between permissions and defeasible norms in a agent-relative feature. This, we argue, brings about two essential elements the variety of permission and the multi-agent interaction in analyzing two noticeable pieces in Chinese and German legislations.

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Notes

  1. 1.

    Here we use \(\Rightarrow \) for the material conditional, and \(\rightarrow \) for default rules.

  2. 2.

    Here obligation and permission have to be in the same account: either both in the conflict account or both in the disjunctive account.

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Acknowledgements

Huimin Dong is supported by the China Postdoctoral Science Foundation funded project [No. 2018M632494], the National Science Centre of Poland [No. UMO-2017/26/M/HS1/01092], the National Social Science Fund of China [No. 18ZDA290, No. 17ZDA026, No. 16AZX017], the MOE Project of Key Research Institute of Humanities and Social Sciences in Universities [No. 17JJD720008], and the Fundamental Research Funds for the Central Universities of China.

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Authors and Affiliations

  1. Department of Philosophy & CSLC, Zhejiang University, Hangzhou, China

    Huimin Dong

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  1. Huimin Dong
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Correspondence to Huimin Dong .

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Editors and Affiliations

  1. Institute of Logic and Cognition, Sun Yat-sen University, Guangzhou, Guangdong, China

    Shier Ju

  2. School of Business and Economics, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands

    Alessandra Palmigiano

  3. Sun Yat-Sen University, Guangzhou, Guangdong, China

    Minghui Ma

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Dong, H. (2020). A Multi-agent Default Theory of Permission. In: Ju, S., Palmigiano, A., Ma, M. (eds) Nonclassical Logics and Their Applications. Logic in Asia: Studia Logica Library. Springer, Singapore. https://doi.org/10.1007/978-981-15-1342-8_5

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