Xu, Chao; Wang, Yanjing; Studer, Thomas (2019). A logic of knowing why. Synthese, 198(2), pp. 1259-1285. Springer Netherlands 10.1007/s11229-019-02104-0
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When we say “I know why he was late”, we know not only the fact that he was late, but also an explanation of this fact. We propose a logical framework of “knowing why” inspired by the existing formal studies on why-questions, scientific explanation, and justification logic. We introduce the Kyi operator into the language of epistemic logic to express “agent i knows why φ” and propose a Kripke-style semantics of such expressions in terms of knowing an explanation of φ. We obtain two sound and complete axiomatizations w.r.t. two different model classes depending on different assumptions about introspection. Finally we connect our logic with justification logic technically by providing an alternative semantics and an in-depth comparison on various design choices.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Institute of Computer Science (INF) > Logic and Theory Group (LTG) 08 Faculty of Science > Institute of Computer Science (INF) |
UniBE Contributor: |
Studer, Thomas |
Subjects: |
000 Computer science, knowledge & systems 500 Science > 510 Mathematics |
ISSN: |
0039-7857 |
Publisher: |
Springer Netherlands |
Language: |
English |
Submitter: |
Nenad Savic |
Date Deposited: |
21 Oct 2019 10:40 |
Last Modified: |
31 Jan 2023 00:25 |
Publisher DOI: |
10.1007/s11229-019-02104-0 |
BORIS DOI: |
10.7892/boris.133942 |
URI: |
https://boris.unibe.ch/id/eprint/133942 |
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