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Seminars "Proof Theory" and "Logic Online Seminar"
March 27, 2023 18:30, Moscow, Steklov Mathematical Institute (8 Gubkina), room 313 + Zoom


Dilators, Reflection, and Forcing: A Proof-Theoretic Analysis of $\Pi^1_1-\mathsf{CA}_0$ (continuation)

F. N. Pakhomov



Abstract: In this talk I will sketch a new approach to ordinal analysis of $\Pi^1_1-\mathsf{CA}_0$ that uses the interplay of the methods of functorial proof theory and iterated reflection. An interesting feature of the approach is that it completely sidesteps predicative cut elimination.

Language: English


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