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Rathjen, M (2014)
Publisher: College Publications
Languages: English
Types: Part of book or chapter of book
Subjects:
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] B. Afshari: Proof-Theoretic Strengths of Hierarchies of Theories, PhD thesis, University of Leeds, U.K., 2008.
    • [2] B. Afshari and M. Rathjen: Reverse Mathematics and Well-ordering Principles: A pilot study, Annals of Pure and Applied Logic 160 (2009) 231-237.
    • [3] J Barwise: Admissible Sets and Structures, Springer, Berlin 1975.
    • [4] E.W. Beth: The Foundations of Mathematics, (North Holland, Amsterdam, 1959)
    • [5] W. Buchholz: A new system of proof-theoretic ordinal functions, Ann. Pure Appl. Logic 32 (1986) 195-207.
    • [6] W. Buchholz, S. Feferman, W. Pohlers, W. Sieg: Iterated inductive definitions and subsystems of analysis (Springer, Berlin, 1981).
    • [7] W. Buchholz and K. Schu¨tte: Proof theory of impredicative subsystems of analysis (Bibliopolis, Naples, 1988).
    • [8] S. Feferman: Systems of predicative analysis, Journal of Symbolic Logic 29 (1964) 1-30.
    • [9] H. Friedman: Uniformly Defined Descending Sequences of Degrees, Journal of Symbolic Logic 41 (1976) 363-367.
    • [10] H. Friedman and S. Sheard: Elementary descent recursion and proof theory, Annals of Pure and Applied Logic 71 (1995) 1-45.
    • [11] H. Friedman, A. Montalban, A. Weiermann: A characterization of ATR0 in terms of Kruskal-like tree theorems unpublished draft.
    • [12] G. Gentzen: Untersuchungen u¨ber das logische Schließen, Mathematische Zeitschrift 39 (1935) 176-210, 405-431.
    • [13] J.-Y. Girard: Proof Theory and logical complexity, vol 1 (Bibliopolis, Napoli, 1987).
    • [14] G.H. Hardy: A theorem concerning the infinite cardinal numbers. Quarterly Journal of Mathematics 35 (1904) 87-94.
    • [15] L. Henkin: A generalization of the concept of ω-consistency, Journal of Symbolic Logic 19 (1954) 183-196.
    • [16] D. Hilbert: Die Grundlegung der elementaren Zahlentheorie, Mathematische Annalen 104 (1930/31) 485-494.
    • [17] K.J.J. Hintikka: Form and content in quantification theory, Acta Philosophica Fennica 8 (1955) 7-55.
    • [18] A. Marcone, A. Montalba´n: The epsilon function for computability theorists, draft, 2007.
    • [19] A. Marcone, A. Montalba´n: The Veblen functions for computability theorists, Journal of Symbolic Logic 76 (2011) 575-602.
    • [20] A. Montalba´n: Ordinal functors and Π11-CA0, draft December 2009.
    • [21] P.S. Novikov: On the consistency of certain logical calculi, Math. Sbornik 12 (1943) 231-261.
    • [22] S. Orey: On ω-consistency and related properties, Journal of Symbolic Logic 21 (1956) 246-252.
    • [23] M. Rathjen: The strength of Martin-L¨of type theory with a superuniverse. Part I. Archive for Mathematical Logic 39 (2000) 1-39.
    • [24] M. Rathjen: The strength of Martin-L¨of type theory with a superuniverse. Part II. Archive for Mathematical Logic 40 (2001) 207-233.
    • [25] M. Rathjen and A. Weiermann: Reverse Mathematics and Well-ordering Principles. In: S. Cooper, A. Sorbi (eds.): Computability in Context: Computation and Logic in the Real World (Imperial College Press, 2011) 351-370.
    • [26] M. Rathjen and A. Weiermann: Proof-theoretic investigations on Kruskal's theorem, Annals of Pure and Applied Logic 60 (1993) 49-88.
    • [27] K. Schu¨tte: Proof Theory, Springer-Verlag, Berlin, Heidelberg, 1977.
    • [28] K. Schu¨tte: Eine Grenze fu¨r die Beweisbarkeit der transfiniten Induktion in der verzweigten Typenlogik, Archiv fu¨r Mathematische Logik und Grundlagenforschung 67 (1964) 45-60.
    • [29] K. Schu¨tte: Predicative well-orderings, in: Crossley, Dummet (eds.), Formal systems and recursive functions (North Holland, 1965) 176-184.
    • [30] K. Schu¨tte: Beweistheorie, (Springer, Berlin, 1960).
    • [31] K. Schu¨tte: Ein System des verknu¨pfenden Schließens, Archiv fu¨r mathematische Logik und Grundlagenforschung 2 (1956) 55-67.
    • [32] K. Schu¨tte: Beweistheoretische Erfassung der unendlichen Induktion in der Zahlentheorie, Mathematische Annalen 122 (1951) 369-389.
    • [33] H. Schwichtenberg: Proof Theory: Some applications of cut-elimination. In: Handbook of Mathematical Logic (J. Barwise ed.) North Holland 1977, pp. 867-895.
    • [34] S.G. Simpson: Subsystems of Second Order Arithmetic, Springer-Verlag, Berlin, Heidelberg, 1999.
    • [35] J. Steel: Descending sequences of degrees, Journal of Symbolic Logic 40 (1975) 59-61.
    • [36] A. Tarski: Some observations on the concept of ω-consistency and ω-completeness, in: Logic, Semantics, Metamathematics, (Clarendon, Oxford, 1956) 279-295.
    • [37] O. Veblen: Continuous increasing functions of finite and transfinite ordinals, Trans. Amer. Math. Soc. 9 (1908) 280-292.
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