Proof Theory

A selection of papers from the Leeds Proof Theory Programme 1990

Peter Aczel, Harold Simmons, Stanley S. Wainer (Herausgeber)

Buch | Softcover

320 Seiten

2008
Cambridge University Press (Verlag)
978-0-521-05416-4 (ISBN)

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A collection of expository and research articles derived from the SERC 'Logic for IT' Summer School and Conference on Proof Theory.

The lecture courses in this work are derived from the SERC 'Logic for IT' Summer School and Conference on Proof Theory held at Leeds University. The contributions come from acknowledged experts and comprise expository and research articles; put together in this book they form an invaluable introduction to proof theory that is 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.

Erscheint lt. Verlag	21.1.2008
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	151 x 228 mm
Gewicht	484 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-521-05416-8 / 0521054168
ISBN-13	978-0-521-05416-4 / 9780521054164
Zustand	Neuware