A Probabilistic Deontic Logic

Publication date

2021

Authors

de Wit, Vincent
Doder, DraganISNI 0000000506363539
Meyer, J-J.Ch.ISNI 0000000116521183

Editors

Vejnarová, Jiřina
Wilson, Nic

Advisors

Supervisors

Document Type

Part of book
Open Access logo

License

taverne

Abstract

In this article, we introduce a logic for reasoning about probability of normative statements. We present its syntax and semantics, describe the corresponding class of models, provide an axiomatization for this logic and prove that the axiomatization is sound and complete. We also prove that our logic is decidable.

Keywords

Monadic deontic logic, Normative reasoning, Probabilistic logic, Completeness, Decidability, Taverne

Citation

de Wit, V, Doder, D & Meyer, J-J 2021, A Probabilistic Deontic Logic. in J Vejnarová & N Wilson (eds), Symbolic and Quantitative Approaches to Reasoning with Uncertainty : 16th European Conference, ECSQARU 2021, Prague, Czech Republic, September 21–24, 2021, Proceedings. 1 edn, Lecture Notes in Computer Science, vol. 12897, Springer, pp. 616-628. https://doi.org/10.1007/978-3-030-86772-0_44