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On the complexity of inductive inference

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 176))

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References

  1. Angluin, D., On the complexity of minimum inference of regular sets, Information and Control 39 (1978), 337–350.

    Google Scholar 

  2. Angluin, D. and Smith, C., Inductive inference: theory and methods, Computing Surveys, to appear.

    Google Scholar 

  3. Barzdin, J., Two theorems on the limiting synthesis of functions, Theory of Algorithms and Programs I, Latvian State University, Riga, U.S.S.R. (1974), 82–88.

    Google Scholar 

  4. Barzdin, J. and FreIvald, R., On the prediction of general recursive functions, Soviet Math. Doklady 13 (1972), 1224–1228.

    Google Scholar 

  5. Blum, L. and Blum, M., Toward a mathematical theory of inductive inference, Information and Control 28 (1975), 125–155.

    Google Scholar 

  6. Blum, M., A machine-independent theory of the complexity of recursive functions, Journal Assoc. Comput. Mach. 14 (1967), 322–326.

    Google Scholar 

  7. Case, J. and Ngo-Manguelle, S., Refinements of inductive inference by Popperian machines, Technical Report, SUNY Buffalo, Department of Computer Science (1979).

    Google Scholar 

  8. Case, J. and Smith, C., Comparison of identification criteria fon machine inductive inference, Theoretical Computer Science 25 (1983), 193–220.

    Google Scholar 

  9. Freivald, R., On the complexity and optimality of computation in the limit, Theory of Algorithms and Programs II. Lativan State University, Riga, U.S.S.R. (1975), 155–173.

    Google Scholar 

  10. Gold, E., Language identification in the limit, Information and Control 10 (1967), 447–474.

    Google Scholar 

  11. Gold, E., Complexity of automaton identification from given data, Information and Control 37 (1978), 302–320.

    Google Scholar 

  12. Hempel, C., Aspects of Scientific Explanation, The Free Press (1965), New York.

    Google Scholar 

  13. Khodzhayev, J., On the complexity of computation on Turing machines with oracles, Ph.D. Dissertation, Tashkent (1970).

    Google Scholar 

  14. Kinber, E., On speeding up the limiting identification of recursive functions by changing the sequence of questions, Elektronische Informationsverarbeitung und Kybernetik 13 (1977), 369–383.

    Google Scholar 

  15. Klette, R. and Wiehagen, R., Research in the theory of inductive inference by GDR mathematicians — a survey, Information Sciences 22 (1980), 149–169.

    Google Scholar 

  16. Machtey, M. and Young, P., An Introduction to the General Theory of Algorithms, North-Holland (1978), New York.

    Google Scholar 

  17. Pudlak, P., Polynomially complete problems in the logic of automated discovery, Lecture Notes in Computer Science 32 (1975), 358–361.

    Google Scholar 

  18. Pudlak, P. and Springsteel, F., Complexity in mechanized hypothesis formation, Theorectical Computer Science 8 (1979), 203–225.

    Google Scholar 

  19. Putnam, H., Probability and confirmation, Mathematics, Matter, and Method, Cambridge University Press (1975). Originally appeared in 1963 as a Voice of America Lecture.

    Google Scholar 

  20. Rogers, H., Gödel numberings of partial recursive functions, Journal of Symbolic Logic 23 (1958), 331–341.

    Google Scholar 

  21. Rogers, H., Theory of Recursive Functions and Effective Computability, McGraw Hill (1967), New York.

    Google Scholar 

  22. Selman, A., Polynomial time enumeiation reducibility, SIAM Journal on Computing 7 (1978), 440–457.

    Google Scholar 

  23. Young, P., Speed-ups by changing the order in which sets are enumerated, Math. Systems Theory 5 (1971), 148–152.

    Google Scholar 

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M. P. Chytil V. Koubek

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© 1984 Springer-Verlag Berlin Heidelberg

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Daley, R.P., Smith, C.H. (1984). On the complexity of inductive inference. In: Chytil, M.P., Koubek, V. (eds) Mathematical Foundations of Computer Science 1984. MFCS 1984. Lecture Notes in Computer Science, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030306

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  • DOI: https://doi.org/10.1007/BFb0030306

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13372-8

  • Online ISBN: 978-3-540-38929-3

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