Mechanised uniform interpolation for modal logics K, GL, and iSL

H Férée, I Giessen, S Gool, I Shillito - International Joint Conference on …, 2024 - Springer
The uniform interpolation property in a given logic can be understood as the definability of
propositional quantifiers. We mechanise the computation of these quantifiers and prove …

Ruitenburg's Theorem mechanized and contextualized

T Litak - arXiv preprint arXiv:2402.01840, 2024 - arxiv.org
In 1984, Wim Ruitenburg published a surprising result about periodic sequences in
intuitionistic propositional calculus (IPC). The property established by Ruitenburg naturally …

A Terminating Sequent Calculus for Intuitionistic Strong Löb Logic with the Subformula Property

C Fiorentini, M Ferrari - International Joint Conference on Automated …, 2024 - Springer
Intuitionistic Strong Löb logic iSL is an intuitionistic modal logic with a provability
interpretation. We introduce GbuSL□, a terminating sequent calculus for iSL with the …

[PDF][PDF] Logical reflections

S van Gool - 2024 - samvangool.net
In this document, I will survey some of the research in algebra, topology, logic, and the
foundations of computer science that I have contributed to since completing my PhD in 2014 …

Formulas Rewritten and Normalized Computationally, and Intuitionistically Simplified

H Férée, SV Gool, YI Vázquez - 36es Journées Francophones des …, 2025 - hal.science
We give a verified implementation of a procedure for simplifying formulas of intuitionistic
propositional logic, relying on a particular contractionfree sequent calculus for this logic. We …