arnold beckmann
dissertations
Publication Types:
Separating fragments of bounded arithmetic
The aim of this work is to investigate proof-theoretically formal theories of bounded arithmetic. For this purpose the subsystems IΣ_n of first order arithmetic and subsystems of bounded predicative arithmetic will be investigated, too.
Beschränkte Arithmetik in scharf beschränkten Theorien zweiter Stufe
This master thesis gives a detailed workout of Takeuti’s article A Second Order Version of S^i_2 and U^1_2 including some improvements.