2 papers
math.LO2026
Goodstein at the Second Threshold: An Independence Result for
Oriola Gjetaj, Andreas Weiermann
The classical Goodstein process, defined via hereditary base- exponential normal form, is a well-known example of a principle unprovable in Peano Arithmetic. In this paper, we g…
math.LO2025
Ordinal Analysis of Well-Ordering Principles, Well Quasi-Orders Closure Properties, and -Collection Schema
Gabriele Buriola, Andreas Weiermann
The study of well quasi-orders, wqo, is a cornerstone of combinatorics and within wqo theory Kruskal's theorem plays a crucial role. Extending previous proof-theoretic results, we…