Proof Theory A selection of papers from the Leeds Proof Theory Programme 1990 [Paperback]

A collection of expository and research articles derived from the SERC 'Logic for IT' Summer School and Conference on Proof Theory.A collection of expository and research articles derived from the SERC 'Logic for IT' Summer School and Conference on Proof Theory.A collection of expository and research articles derived from the SERC 'Logic for IT' Summer School and Conference on Proof Theory.This work is derived from the SERC Logic for IT Summer School Conference on Proof Theory held at Leeds University. The contributions come from acknowledged experts and comprise expository and research articles which form an invaluable introduction to proof theory aimed at both mathematicians and computer scientists.Preface; Programme of lectures; 1. Basic proof theory S. Wainer and L. Wallen; 2. A short course in ordinal analysis W. Pohlers; 3. Proofs as programs H. Schwichtenberg; 4. A simplified version of local predicativity W. Buchholz; 5. A note on bootstrapping intuitionistic bounded arithmetic S. Buss; 6. Termination orderings and complexity characterisations E. Cichon; 7. Logics for termination and correctness of functional programs, II. Logics of strength PRA S. Feferman; 8. Reflecting the semantics of reflected proof D. Howe; 9. Fragments of Kripke-Platek set theory with infinity M. Rathjen; 10. Provable computable selection functions on abstract structures J. Tucker and J. Zucker.