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Journal of Logic and Computation Advance Access originally published online on November 13, 2007
Journal of Logic and Computation 2007 17(6):1099-1107; doi:10.1093/logcom/exm036
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© The Author, 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Articles

On a Problem of J. Paris

A. Sirokofskich

Department of Mathematics, University of Athens, GR-157 84 Zografou, Greece. E-mail: asirokof{at}math.uoa.gr

C. Dimitracopoulos

Department of Philosophy and History of Science, University of Athens, GR-157 71 Zografou, Greece. E-mail: cdimitr{at}phs.uoa.gr

Received 20 October 2006.


  Abstract

We give alternative proofs for results of T. Slaman and N. Thapen, concerning the problem whether or not | {Delta}1 implies B {Sigma}1. Our proofs isolate structures that could disprove this implication.

Keywords: Fragments of Peano Arithmetic; collection; induction; end extension


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