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math.LO2026
Modular proof analysis and cut elimination for the Reflection Calculi and
Joost J. Joosten, Cosimo Perini Brogi
The reflection calculus with one modality is denoted by and its quantified generalization is known as . These decidable calculi are of interest sinc…
math.LO2026
Ultrafilter Extensions for Veltman Semantics
Fèlix Frigola González, Joost J. Joosten, Vicent Navarro Arroyo +1
In this paper, we present a first-order frame condition for interpretability logic and show that the condition is not modally definable. Yet, the frame condition holds both on ILM…