Technical Terms Mathematical Logic: The study of formal systems, including model theory and proof theory, that provides rigorous methods for establishing truth and validity within mathematics.

Provability Logic: A modal logical framework that formalises the concept of provability within mathematical systems, thereby linking proof theory and modal semantics.

This paper develops an asymptotic theory for estimated change-points in linear and nonlinear time series models. Based on a measurable objective function, it is shown that the estimated change-point ...