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Seminars "Proof Theory" and "Logic Online Seminar"
March 20, 2023 18:30, Moscow, Steklov Mathematical Institute (8 Gubkina), room 313 + Zoom
 


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

F. N. Pakhomovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Ghent University
Video records:
MP4 172.3 Mb

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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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