Proof Theory
Cut elimination, ordinal analysis, and Gentzen-style proofs.
Proof Theory. Cut elimination, ordinal analysis, and Gentzen-style proofs.
Foundations and canonical references
The standard treatments of proof theory approach the subject from complementary angles. Troelstra, Basic Proof Theory (2000) 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 proof theory 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 · 2000Basic Proof Theorytroelstra-2000, schwichtenberg-2000
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