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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 |
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cites | cdi_FETCH-LOGICAL-c164z-6b1c2293c594f979116ec7a54de64174b734aabc3f425ce3417d7ad24dc23a483 |
container_end_page | 34 |
container_issue | 1 |
container_start_page | 17 |
container_title | Archive for mathematical logic |
container_volume | 49 |
creator | Fernandes, António M. |
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. |
doi_str_mv | 10.1007/s00153-009-0157-z |
format | article |
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source | Springer Nature |
subjects | Algebra Mathematical Logic and Foundations Mathematics Mathematics and Statistics |
title | Strict -reflection in bounded arithmetic |
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