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Workshop on Proof Theory, Modal Logic and Reflection Principles
October 19, 2017 14:50, Moscow, Steklov Mathematical Institute
 

Student session


Axiomatizing provable 1-provability

E. Kolmakov
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MP4 575.1 Mb
MP4 130.9 Mb

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E. Kolmakov


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Abstract: We consider the following question for a pair of theories T and S: for which sentences their 1-provability in S is provable in T? The set of all such sentences forms a theory extending S. We give an axiomatization of this theory for the fragments of PA in terms of iterated local reflection schema over S.

Language: English

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