منابع مشابه
Unary Interpretability Logic
Let T be an arithmetical theory. We introduce a unary modal operator T to be interpreted arithmetically as the unary interpretability predicate over T. We present complete axiomatizations of the (unary) interpretability principles underlying two important classes of theories. We also prove some basic modal results about these new axiomatizations.
متن کاملInterpretability Logic
This is an overview a study of interpretability logic in Zagreb for the last twenty years: a brief history and some planes for further research. The idea of treating a provability predicate as a modal operator goes back to Gödel. The same idea was taken up later by Kripke and Montague, but only in the mid–seventies was the correct choice of axioms, based on Löb’s theorem, seriously considered b...
متن کاملThe interpretability logic ILF ∗
In this paper we determine a characteristic class of ILsetframes for the principle F. Then we prove that the principle P is not provable in the system ILF. We use a generalized Veltman model.
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1992
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093636104