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A dyadic deontic logic in HOL. (English) Zbl 1418.03069
Broersen, Jan (ed.) et al., Deontic logic and normative systems. 14th international conference, DEON 2018, Utrecht, Netherlands, July 3–6, 2018. Proceedings. London: College Publications. 33-49 (2018).
Summary: A shallow semantical embedding of a dyadic deontic logic by J. M. C. L. M. Carmo and A. J. I. Jones [J. Log. Comput. 23, No. 3, 585–626 (2013; Zbl 1272.03096)] in classical higher-order logic is presented. This embedding is proven sound and complete, that is, faithful.
The work presented here provides the theoretical foundation for the implementation and automation of dyadic deontic logic within off-the-shelf higher-order theorem provers and proof assistants.
For the entire collection see [Zbl 1398.03006].

MSC:
03B45 Modal logic (including the logic of norms)
03B15 Higher-order logic; type theory (MSC2010)
03B35 Mechanization of proofs and logical operations
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