On revision operators

Journal of Symbolic Logic 68 (2):689-711 (2003)
We look at various notions of a class of definability operations that generalise inductive operations, and are characterised as “revision operations”. More particularly we: (i) characterise the revision theoretically definable subsets of a countable acceptable structure; (ii) show that the categorical truth set of Belnap and Gupta’s theory of truth over arithmetic using \emph{fully varied revision} sequences yields a complete \Pi13 set of integers; (iii) the set of \emph{stably categorical} sentences using their revision operator ψ is similarly \Pi13 and which is complete in Gödel’s universe of constructible sets L; (iv) give an alternative account of a theory of truth—realistic variance that simplifies full variance, whilst at the same time arriving at Kripkean fixed points.
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DOI 10.2178/jsl/1052669071
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References found in this work BETA
Saul A. Kripke (1975). Outline of a Theory of Truth. Journal of Philosophy 72 (19):690-716.
Hans G. Herzberger (1982). Notes on Naive Semantics. Journal of Philosophical Logic 11 (1):61 - 102.
André Chapuis (1996). Alternative Revision Theories of Truth. Journal of Philosophical Logic 25 (4):399-423.

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