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math.LO2021
Arithmetical and Hyperarithmetical Worm Battles
David Fernández-Duque, Joost J. Joosten, Fedor Pakhomov +2
Japaridze's provability logic has one modality for each natural number and has been used by Beklemishev for a proof theoretic analysis of Peano aritmetic and rel…
math.LO2021★ 2 cited
An Escape from Vardanyan's Theorem
Ana de Almeida Borges, Joost J. Joosten
Vardanyan's Theorems state that - the quantified provability logic of Peano Arithmetic - is complete, and in particular that this already holds…