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Primitive recursive function
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11	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
12	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
13	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
14	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
15	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
16	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
17	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
18	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
19	On uniform weak K¨onig’s lemma 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: 2012-11-16 09:11:16 Computability theory Proof theory Mathematical logic Predicate logic Logic in computer science Primitive recursive functional Reverse mathematics Primitive recursive function Primitive recursive arithmetic First-order logic Peano axioms Ordinal analysis
20	Things that can and things that can’t be done in PRA Ulrich Kohlenbach BRICS∗ Department of Computer Science University of Aarhus Ny Munkegade, Bldg. 540 Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-16 09:11:59 Computability theory Mathematical logic Mathematics Theoretical computer science Primitive recursive function Primitive recursive arithmetic ELEMENTARY Reverse mathematics Pairing function Ackermann function Sequence Recursion