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21	G¨odel functional interpretation and weak compactness Ulrich Kohlenbach1 Department of Mathematics Technische Universit¨at Darmstadt Schlossgartenstraße 7, 64289 Darmstadt, Germany -darmstadt.d Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2011-08-31 12:29:01 Mathematics Mathematical analysis Operator theory Computability theory Arithmetic function Primitive recursive function Ergodic theory Hilbert space Theoretical physics Spectral theory of ordinary differential equations Differential forms on a Riemann surface
22	On the Computational Content of the Bolzano-Weierstraß Principle∗ Pavol Safarik and Ulrich Kohlenbach Department of Mathematics Technische Universität Darmstadt Schlossgartenstraße 7, 64289 Darmstadt, Germany Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2009-10-14 11:24:50 Proof theory Logic Mathematical logic Mathematics Computability theory Primitive recursive functional Dialectica interpretation Combinatory logic Continuous function
23	Herbrand’s theorem and extractive proof theory U. Kohlenbach Department of Mathematics Technische Universit¨at Darmstadt Schlossgartenstrasse 7, 64289 Darmstadt, Germany September 1, 2008 Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2008-09-01 05:59:33 Mathematics Mathematical analysis Mathematical logic Functions and mappings Computability theory Primitive recursive function Recursion Theory of computation First-order logic Limit of a function Peano axioms Spectral theory of ordinary differential equations
24	FOUNDATIONAL AND MATHEMATICAL USES OF HIGHER TYPES ULRICH KOHLENBACH† DEDICATED TO SOLOMON FEFERMAN FOR HIS 70TH BIRTHDAY §1. Introduction. A central theme of proof theory is expressed by the following question: Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-12 10:34:29 Computability theory Proof theory Mathematical logic Metalogic Reverse mathematics Primitive recursive functional Second-order arithmetic Peano axioms Primitive recursive function Primitive recursive arithmetic Model theory Symbol
25	On weak Markov’s principle Ulrich Kohlenbach BRICS∗ Department of Computer Science University of Aarhus Ny Munkegade Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-12 10:34:17 Constructivism Mathematics Computability theory Mathematical logic Mathematical proofs Functions and mappings Abstraction Proof theory Realizability Constructive proof Primitive recursive function operator
26	Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals Ulrich Kohlenbach Fachbereich Mathematik J.W. Goethe–Universit¨at D–60054 Frankfurt, Germany Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-16 09:33:39 Computability theory Mathematics Mathematical logic Mathematical analysis Primitive recursive functional Symbol Continuous function Primitive recursive function operator Spectral theory of ordinary differential equations
27	Pointwise hereditary majorization and some applications Ulrich Kohlenbach Fachbereich Mathematik, J.W.Goethe–Universit¨at Robert–Mayer–Str. 6–10, 6000 Frankfurt am Main, FRG Abstract A pointwise version of the H Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-16 10:11:23 Computability theory Primitive recursive functional Proof theory Continuous function Spectral theory of ordinary differential equations It diffusion
28	PDF Document Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-16 10:10:51 Mathematics Mathematical analysis Computability theory Theory of computation Functions and mappings Primitive recursive function Recursion Modulus of continuity Universal property operator Product rule
29	Defining Recursive Functions in Isabelle/HOL Alexander Krauss Abstract This tutorial describes the use of the function package, which provides general recursive function definitions for Isabelle/HOL. We start with very Add to Reading List Source URL: mirror.clarkson.edu Language: English - Date: 2016-02-17 10:46:54
30	Fluctuations, effective learnability and metastability in analysis Ulrich Kohlenbach, Pavol Safarik Department of Mathematics, Technische Universit¨ at Darmstadt, Schlossgartenstraße 7, 64289 Darmstadt, Germany Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2013-05-10 05:50:36 Computability theory Mathematical logic Mathematics Theoretical computer science Theory of computation Computable function Primitive recursive function operator Language identification in the limit Sequence Arithmetical hierarchy Cauchy sequence