Ordinal Analysis
Measuring consistency strength via ordinal notations.
Ordinal Analysis. Measuring consistency strength via ordinal notations.
Foundations and canonical references
The standard treatments of ordinal analysis approach the subject from complementary angles. Pohlers, Proof Theory: The First Step into Impredicativity (2009) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for ordinal analysis include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2009Proof Theory: The First Step into Impredicativitypohlers-2009
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