This book provides readers with a guide to both ordinal analysis,
and to proof theory. It mainly focuses on ordinal analysis, a
research topic in proof theory that is concerned with the ordinal
theoretic content of formal theories. However, the book also
addresses ordinal analysis and basic materials in proof theory of
first-order or omega logic, presenting some new results and new
proofs of known ones.Primarily intended for graduate students and
researchers in mathematics, especially in mathematical logic, the
book also includes numerous exercises and answers for selected
exercises, designed to help readers grasp and apply the main
results and techniques discussed.
General
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