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\iteman{io-port 05949186}
\itemau{J\"ager, Gerhard; Probst, Dieter}
\itemti{The Suslin operator in applicative theories: its proof-theoretic analysis via ordinal theories.}
\itemso{Ann. Pure Appl. Logic 162, No. 8, 647-660 (2011).}
\itemab
The authors give a new proof-theoretic analysis of the Suslin operator in applicative theories. In contrast to the treatment in [{\it G. J\"ager} and {\it T. Strahm}, ``The proof-theoretic analysis of the Suslin operator in applicative theories'', Lect. Notes Log. 15, 270--292 (2002; Zbl 1015.03058)] the given analysis uses appropriate strong versions of ordinal theories as introduced in [{\it G. J\"ager}, ``Fixed points in Peano arithmetic with ordinals'', Ann. Pure Appl. Logic 60, No. 2, 119--132 (1993; Zbl 0776.03027)].
\itemrv{Reinhard Kahle (Lisboa)}
\itemcc{}
\itemut{Applicative theories; Suslin operator; Ordinal theories}
\itemli{doi:10.1016/j.apal.2011.01.009}
\end