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Author

F. Pakhomov

2 papers indexed here

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Preprint Oct 2026

A Reflection Calculus for Bar Induction and the Linearity of Consistency Strength Ordering

We introduce a novel extension of reflection calculus, $\mathsf{RC_{BI}}$, to analyze a family of extensions of $\mathsf{ACA}_0$ generated by uniform $\omega$-model and syntactic reflection principles, together with several other related operators. The union of these theories coincides with the theory of Bar Induction...

F. Pakhomov, Vlad Lazar · 0 citations
Preprint Sep 2026

Infinitary provability logic

A non-well-founded deep inference proof system for the modal language with at most countably infinite conjunctions and disjunctions is developed and it is shown that the infinitary provability logic arising from certain admissible sets lies between the set of theorems of the Hilbert-style calculus and the non-well-foun...

Mojtaba Mojtahedi, F. Pakhomov, G. Soldà · 0 citations

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