Transfers between Logics and their Applications

In this paper, logics are conceived as two-sorted first-order structures, and we argue that this broad definition encompasses a wide class of logics with theoretical interest as well as interest from the point of view of applications. The language, concepts and methods of model theory can thus be used to describe the relationship between logics through morphisms of structures called transfers. This leads to a formal framework ying several properties of abstract logics and their attributes such as consequence operator, syntactical structure, and internal transformations. In particular, we treat Belief Revision Systems (BRS) as our main example, defining the Wide Belief Revision Systems (WBRS's). This genion allows us to define BRS's in an abstract setting for classical and non-standard logics. We also show how the concept of translation between logics can be obtained as a particular case of transfers. 1 Basic motivations In one of the fundamental books on Belief Revision, P. ...

• Type: Journal
• Year: 2002
• Where: SLOGICA
• Authors: Marcelo E. Coniglio, Walter Alexandre Carnielli
• Keywords: Abstract Logics, Belief Revision Systems, Logics, SLOGICA 2002