Proof Theory in Computer Science (Paperback)

Reinhard Kahle

ISBN 10: 354042752X / ISBN 13: 9783540427520

Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2001

Paperback. This book constitutes the refereed proceedings of the International Seminar on Proof Theory in Computer Science, PTCS 2001, held in Dagstuhl Castle, Germany, in October 2001. The 13 thoroughly revised full papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are higher type recursion, lambda calculus, complexity theory, transfinite induction, categories, induction-recursion, post-Turing analysis, natural deduction, implicit characterization, iterate logic, and Java programming. Such a volume not only ?xes basic results of the subject and makes them available to a broader audience, but also signals to the scienti?c community that Proof Theory in Computer Science (PTCS) is a major research branch within the wider ?eld of logic in computer science. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9783540427520

Riassunto:

Proof theory has long been established as a basic discipline of mathematical logic. It has recently become increasingly relevant to computer science. The - ductive apparatus provided by proof theory has proved useful for metatheoretical purposes as well as for practical applications. Thus it seemed to us most natural to bring researchers together to assess both the role proof theory already plays in computer science and the role it might play in the future. The form of a Dagstuhl seminar is most suitable for purposes like this, as Schloß Dagstuhl provides a very convenient and stimulating environment to - scuss new ideas and developments. To accompany the conference with a proc- dings volume appeared to us equally appropriate. Such a volume not only ?xes basic results of the subject and makes them available to a broader audience, but also signals to the scienti?c community that Proof Theory in Computer Science (PTCS) is a major research branch within the wider ?eld of logic in computer science.

Contenuti: Linear Ramified Higher Type Recursion and Parallel Complexity.- Reflective ?-Calculus.- A Note on the Proof-Theoretic Strength of a Single Application of the Schema of Identity.- Comparing the Complexity of Cut-Elimination Methods.- Program Extraction from Gentzen’s Proof of Transfinite Induction up to ?0.- Coherent Bicartesian and Sesquicartesian Categories.- Indexed Induction-Recursion.- Modeling Meta-logical Features in a Calculus with Frozen Variables.- Proof Theory and Post-turing Analysis.- Interpolation for Natural Deduction with Generalized Eliminations.- Implicit Characterizations of Pspace.- Iterate logic.- Constructive Foundations for Featherweight Java.

Dati bibliografici

Titolo: Proof Theory in Computer Science (Paperback)
Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Data di pubblicazione: 2001
Legatura: Paperback
Condizione: new