2024-03-19T13:31:43Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/1646642020-12-13T09:17:49Zcom_10261_60com_10261_4col_10261_439
2018-05-10T10:09:20Z
urn:hdl:10261/164664
On Boolean Algebras of Conditionals and Their Logical Counterpart
Flaminio, Tommaso
Godo, Lluis
Hosni, Hykel
Ministerio de Economía y Competitividad (España)
European Commission
Conditionals events
Uncertain reasoning
Non-monotonic reasoning
Boolean algebra of conditionals
This paper sheds a novel light on the longstanding problem of investigating the logic of conditional events. Building on the framework of Boolean algebras of conditionals previously introduced by the authors, we make two main new contributions. First, we fully characterise the atomic structure of these algebras of conditionals. Second, we introduce the logic of Boolean conditionals (LBC) and prove its completeness with respect to the natural semantics induced by the structural properties of the atoms in a conditional algebra as described in the first part. In addition we outline the close connection of LBC with preferential consequence relations, arguably one of the most appreciated systems of non-monotonic reasoning. © Springer International Publishing AG 2017.
2018-05-10T10:09:20Z
2018-05-10T10:09:20Z
2017-07-10
2018-05-10T10:09:20Z
artículo
Symbolic and Quantitative Approaches to Reasoning with Uncertainty; 14th European Conference ECSQARU 2017. Proceedings; LNAI 10369: 246- 256 (2017)
http://hdl.handle.net/10261/164664
10.1007/978-3-319-61581-3_23
http://dx.doi.org/10.13039/501100000780
http://dx.doi.org/10.13039/501100003329
eng
Postprint
Sí
MINECO/TIN2015-71799- C2-1-P
openAccess
Springer