RUS  ENG
Full version
SEMINARS

Seminars "Proof Theory" and "Logic Online Seminar"
November 21, 2022 18:30, Moscow, Steklov Mathematical Institute (8 Gubkina), room 313 + Zoom


How to escape Tennenbaum's Theorem?

F. N. Pakhomovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Ghent University



Abstract: We construct a theory definitionally equivalent to first-order Peano arithmetic PA and a non-standard computable model of this theory. The same technique allows us to construct a theory definitionally equivalent to Zermelo-Fraenkel set theory ZF that has a computable model.

Language: English


© Steklov Math. Inst. of RAS, 2024