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On subrecursiveness in weak combinatory logic

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λ-Calculus and Computer Science Theory (LCCST 1975)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 37))

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Abstract

In this paper weak combinatory logic as an algorithmic language is considered and various notions of structural and computational complexity are introduced. Particular attention is devoted to the definitional power of a system of combinators,that is to the concept of “subbase”. Some results concerning the relations between specific subbases and their generative power are presented.

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Bibliography

  1. Curry,H.B., R. Feys, Combinatory logic, vol. 1, North Holland (1974)

    Google Scholar 

  2. Ausiello, G., Computational complexity — Main results and a commentary, Séminaires IRIA (1972).

    Google Scholar 

  3. Strong,H.R., Depth-bounded computation, J.C.S.S., Vol. 4, n. 1 (1970).

    Google Scholar 

  4. Curry, H.B., J.R. Hindley, J.P. Seldin, Combinatory logic, vol. 2, North Holland (1972).

    Google Scholar 

  5. Blum, M., On the size of machines, Information and Control 2 (1967).

    Google Scholar 

  6. Blum, M., A machine independent theory of the complexity of recursive functions, J.A.C.M. 14 (April 1967).

    Google Scholar 

  7. Ausiello, G., Abstract computational complexity and cycling computations, J.C.S.S. Vol. 5 (1971).

    Google Scholar 

  8. Barendregt, H., Normed uniformly reflexive structures, (in these proceedings).

    Google Scholar 

  9. Böhm, C., W. Gross, Introduction to the CUCH, Automata Theory (ed. Caianiello) N.Y. (1966).

    Google Scholar 

  10. Grzegorczyk, A., Some classes of recursive functions, Rozprawy Matematyczne (1953).

    Google Scholar 

  11. Rosenbloom, P., The elements of mathematical logic, Dover (1950).

    Google Scholar 

  12. Batini, C., A. Pettorossi, Some properties of subbases in weak combinatory logic, Rapporto dell'Istituto di Automatica — Università di Roma (1975).

    Google Scholar 

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C. Böhm

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© 1975 Springer-Verlag Berlin Heidelberg

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Batini, C., Pettorossi, A. (1975). On subrecursiveness in weak combinatory logic. In: Böhm, C. (eds) λ-Calculus and Computer Science Theory. LCCST 1975. Lecture Notes in Computer Science, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029533

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  • DOI: https://doi.org/10.1007/BFb0029533

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07416-8

  • Online ISBN: 978-3-540-37944-7

  • eBook Packages: Springer Book Archive

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