Self-Referential Justifications in Epistemic Logic

10 years 6 months ago
Self-Referential Justifications in Epistemic Logic
This paper is devoted to the study of self-referential proofs and/or justifications, i.e., valid proofs that prove statements about these same proofs. The goal is to investigate whether such self-referential justifications are present in the reasoning described by standard modal epistemic logics such as S4. We argue that the modal language by itself is too coarse to capture this concept of self-referentiality and that the language of justification logic can serve as an adequate refinement. We consider well-known modal logics of knowledge/belief and show, using explicit justifications, that S4, D4, K4, and T with their respective justification counterparts LP, JD4, J4, and JT describe knowledge that is self-referential in some strong sense. We also demonstrate that self-referentiality can be avoided for K and D. In order to prove the former result, we develop a machinery of minimal evidence functions used to effectively build models for justification logics. We observe that the calculus...
Roman Kuznets
Added 20 May 2011
Updated 20 May 2011
Type Journal
Year 2010
Where MST
Authors Roman Kuznets
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