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Dyadic Deontic Logic in HOL : Faithful Embedding and Meta-Theoretical Experiments
Benzmüller, Christoph; Farjami, Ali; Parent, Xavier (2022): Dyadic Deontic Logic in HOL : Faithful Embedding and Meta-Theoretical Experiments, in: Shahid Rahman, Matthias Armgardt, und Hans Christian Nordtveit Kvernenes (Hrsg.), New developments in legal reasoning and logic : from ancient law to modern legal systems, Cham: Springer, S. 353–377, doi: 10.1007/978-3-030-70084-3_14.
Faculty
Author:
Title of the compilation:
New developments in legal reasoning and logic : from ancient law to modern legal systems
Editors:
Rahman, Shahid
Armgardt, Matthias
Nordtveit Kvernenes, Hans Christian
Publisher Information:
Year of publication:
2022
Pages:
ISBN:
978-3-030-70084-3
978-3-030-70083-6
Language:
English
Abstract:
A shallow semantical embedding of a dyadic deontic logic by Carmo and Jones in classical higher-order logic is presented. The embedding is proven sound and complete, that is, faithful. This result provides the theoretical foundation for the implementation and automation of dyadic deontic logic within off-the-shelf higher-order theorem provers and proof assistants. To demonstrate the practical relevance of our contribution, the embedding has been encoded in the Isabelle/HOL proof assistant. As a result a sound and complete (interactive and automated) theorem prover for the dyadic deontic logic of Carmo and Jones has been obtained. Experiments have been conducted which illustrate how the exploration and assessment of meta-theoretical properties of the embedded logic can be supported with automated reasoning tools integrated with Isabelle/HOL.
GND Keywords: ; ; ;
Deontische Logik
HOL
Semantik
Treue <Motiv>
Keywords: ; ; ;
Dyadic deontic logic
Classical higher-order logic
Semantic embedding
Faithfulness
DDC Classification:
RVK Classification:
Peer Reviewed:
Yes:
International Distribution:
Yes:
Type:
Contribution to an Articlecollection
Activation date:
July 11, 2022
Versioning
Question on publication
Permalink
https://fis.uni-bamberg.de/handle/uniba/54432