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Strict -reflection in bounded arithmetic

We prove two conservation results involving a generalization of the principle of strict -reflection, in the context of bounded arithmetic. In this context a separation between the concepts of bounded set and binary sequence seems to emerge as fundamental.

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Published in:Archive for mathematical logic 2010, Vol.49 (1), p.17-34
Main Author: Fernandes, António M.
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Language:English
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description We prove two conservation results involving a generalization of the principle of strict -reflection, in the context of bounded arithmetic. In this context a separation between the concepts of bounded set and binary sequence seems to emerge as fundamental.
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subjects Algebra
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
title Strict -reflection in bounded arithmetic
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