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Brouwer, L.E.J.: Historical background, principles, and methods of intuitionism, South African J.Sc. 49, 139–146 (1952)
Heyting, A.: Intuitionism, an introduction, North-Holland, Amsterdam, 1956 (revised 1972)
Troelstra, A.S.: Principles of intuitionism, Springer-Verlag, Berlin, Heidelberg, 1969
Bishop, E.; Bridges, D.S.: Constructive Analysis, Springer-Verlag, Berlin, Heidelberg, 1985
Ceitin, G.S.: Algorithmic operators in constructive complete separable metric spaces (in Russian), Doklady Akad, Nauk 128, 49–52 (1959)
Markov, A.A.: On constructive mathematics (in Russian), Trudy Mat. Inst. Stektov 67, 8–14 (1962)
Kushner, B.A.: Lectures on constructive mathematical logic and foundations of mathematics, Izdat. “Nauka”, Moscow, (1973)
Aberth, O.: Computable analysis, McGraw-Hill, New York, (1980)
Mazur, S.: Computable analysis, Rozprawy Matematyczne XXXIII (1963)
Grzegorczyk, A.: On the definition of computable real continuous functions, Fund.Math. 44, 61–71 (1957)
Mostowski, A.: On computable sequences, Fund.Math. 44, 37–51 (1955)
Lacombe, D.: Quelques procedes de definition en topologie recursive. In: Constructivity in mathematics (A. Heyting, ed.), North-Holland, Amsterdam,1959
Klaua, D.: Konstruktive Analysis, Deutscher Verlag der Wissenschaften, Berlin, 1961
Hauck, J.: Berechenbare reelle Funktionen, Zeitschrift f. math. Logik und Grdl. Math. 19, 121–140 (1973)
Scott, D.: Outline of a mathematical theory of computation Science, Proc. 4th Princeton Conference onInform. Sci., 1970
Brent, R.P.: Fast multiple precision evaluation of elementary functions, J. ACM 23, 242–251 (1976)
Ko, K.; Friedman, H.: Computational complexity of real functions, Theoret. Comput. Sci. 20, 323–352 (1982)
Müller, N.Th.: Subpolynomial complexity classes of real functions and real numbers. In: Lecture notes in Computer Science 226, Springer-Verlag, Berlin, Heidelberg, 284–293, 1986
Müller, N.Th.: Uniform computational complexity of Taylor series. In: Lecture notes in Computer Science 267, Springer-Verlag, Berlin, Heidelberg, 435–444, 1987
Beeson, M.J.: Foundations of constructive mathematics, Springer-Verlag, Berlin, Heidelberg, 1985
Kreitz, Ch.; Weihrauch, K.: Compactness in constructive analysis revisited, Informatik-Berichte Nr. 49, Fernuniversität Hagen (1984) and Annals of Pure and Applied Logic 36, 29–38 (1987)
Kreitz, Ch.; Weihrauch, K.: A unified approach to constructive and recursive analysis. In: Computation and proof theory, (M.M. Richter et al., eds.), Springer-Verlag, Berlin, Heidelberg, 1984
Kreitz, Ch.; Weihrauch, K.: Theory of representations, Theoretical Computer Science 38, 35–53 (1985)
Weihrauch, K.: Type 2 recursion theory, Theoretical Computer Science 38, 17–33 (1985)
Weihrauch, K.; Kreitz, Ch.: Representations of the real numbers and of the open subsets of the set of real numbers, Annals of Pure and Applied Logic 35, 247–260 (1987)
Weihrauch, K.: Computability, Springer-Verlag, Berlin, Heidelberg, 1987
Weihrauch, K.: On natural numberings and representations, Informatik-Berichte Nr.29, Fernuniversität Hagen, 1982
Weihrauch, K.; Kreitz, Ch.: Type 2 computational complexity of functions on Cantor's space (to appear)
Weihrauch, K.: Towards a general effectivity theory for computable metric spaces (to appear)
Weihrauch, K.: The complexity of online computations of real functions (in preparation)
Deil, Th.: Darstellungen und Berechenbarkeit reeller Zahlen, Informatik-Berichte Nr.51, Fernuniversität Hagen, 1984
Hinman, P.G.: Recursion-theoretic Hierachies, Springer-Verlag, Berlin, Heidelberg, 1978
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Weihrauch, K. (1989). Constructivity, computability, and computational complexity in analysis. In: Csirik, J., Demetrovics, J., Gécseg, F. (eds) Fundamentals of Computation Theory. FCT 1989. Lecture Notes in Computer Science, vol 380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51498-8_47
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