The realization theorem for s5 a simple, constructive proof
| Abstract | Justification logics are logics of knowledge in which explicit reasons are formally represented. Standard logics of knowledge have justification logic analogs. Connecting justification logics and logics of knowledge are Realization Theorems. In this paper we give a new, constructive proof of the Realization Theorem connecting S5 and its justification analog, JS5. This proof is, I believe, the simplest in the literature. | |||||||||
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Katsumi Sasaki (1990). The Simple Substitution Property of Gödel's Intermediate Propositional Logics Sn's. Studia Logica 49 (4):471 - 481.
Luca Viganò (2000). Labelled Non-Classical Logics. Kluwer Academic Publishers.
Fred Richman (2000). Gleason's Theorem has a Constructive Proof. Journal of Philosophical Logic 29 (4):425-431.
Daniele Mundici (1994). A Constructive Proof of McNaughton's Theorem in Infinite-Valued Logic. Journal of Symbolic Logic 59 (2):596-602.
Mauro Ferrari & Pierangelo Miglioli (1993). Counting the Maximal Intermediate Constructive Logics. Journal of Symbolic Logic 58 (4):1365-1401.
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