Tame and full strict-Π11 reflection: A proof-theoretic approach

Author:

Jäger Gerhard1

Affiliation:

1. Institute of Computer Science, University of Bern , 3012 Bern, Switzerland

Abstract

AbstractStrict-$\varPi ^{1}_{1}$ reflection is an important principle that is discussed in detail, e.g. in Barwise [ 2]. Whereas Barwise puts his focus on the importance of strict-$\varPi ^{1}_{1}$ formulas for generalized recursion theory and definability theory, we choose a proof-theoretic approach.

Publisher

Oxford University Press (OUP)

Subject

Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science

Reference17 articles.

1. Applications of strict $\varPi ^{1}_{1}$ predicates to infinitary logic;Barwise;The Journal of Symbolic Logic,1969

2. Admissible Sets and Structures;Barwise,1975

3. A new system for proof-theoretic ordinal functions;Buchholz;Annals of Pure and Applied Logic,1986

4. A simplified version of local predicativity;Buchholz,1992

5. Assigning ordinals to proofs in a perspicious way;Buchholz,2002

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