Dynamic Epistemic Logic as a Substructural Logic

Abstract : Dynamic Epistemic Logic (DEL) is an influential logical framework for reasoning about the dynamics of beliefs and knowledge. It has been related to older and more established logical frameworks. Despite these connections, DEL remains, arguably, a rather isolated logic in the vast realm of non-classical logics and modal logics. This is problematic if logic is to be viewed ultimately as a unified and unifying field and if we want to avoid that DEL goes on "riding off madly in all directions" (a metaphor used by van Benthem about logic in general). In this article, we show that DEL can be redefined naturally and meaningfully as a two-sorted substructural logic. In fact, it is even one of the most primitive substructural logics since it does not preserve any of the structural rules. Moreover, the ternary semantics of DEL and its dynamic interpretation provides a conceptual foundation for the Routley & Meyer's semantics of substructural logics.
Complete list of metadatas

Cited literature [62 references]  Display  Hide  Download

https://hal.inria.fr/hal-01098793
Contributor : Guillaume Aucher <>
Submitted on : Monday, December 29, 2014 - 3:27:07 PM
Last modification on : Wednesday, May 16, 2018 - 11:23:30 AM
Long-term archiving on : Wednesday, June 3, 2015 - 12:40:11 PM

File

Aucher2014.pdf
Files produced by the author(s)

Identifiers

Citation

Guillaume Aucher. Dynamic Epistemic Logic as a Substructural Logic. Johan van Benthem on Logic and Information Dynamics, 5, pp.855 - 880, 2014, Outstanding Contributions to Logic, ⟨10.1007/978-3-319-06025-5_33⟩. ⟨hal-01098793⟩

Share

Metrics

Record views

371

Files downloads

244