Proof Theory in Computer Science: International Seminar, PTCS 2001 Dagstuhl Castle, Germany, October 7-12, 2001. Proceedings

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Springer Science & Business Media, Sep 28, 2001 - Computers - 238 pages
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.
 

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Contents

Linear Ramified Higher Type Recursion and Parallel Complexity
1
Reflective λCalculus
22
A Note on the ProofTheoretic Strength of a Single Application of the Schema of Identity
38
Comparing the Complexity of CutElimination Methods
49
Program Extraction from Gentzens Proof of Transfinite Induction up to ε0
68
Coherent Bicartesian and Sesquicartesian Categories
78
Indexed InductionRecursion
93
Modeling Metalogical Features in a Calculus with Frozen Variables
114
Proof Theory and Postturing Analysis
130
Interpolation for Natural Deduction with Generalized Eliminations
153
Implicit Characterizations of Pspace
170
Iterate Logic
191
Constructive Foundations for Featherweight Java
202
Author Index
239
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