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Nichtberechenbarkeit und Unentscheidbarkeit

oder manchmal geht es gar nicht!

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Kapitel 8

  1. K. Godel, „Über formal unentscheidbare Sätze der Principia Mathematica und ver-wandter Systeme, I,“ Monatshefte für Mathematik und Physik 38 (1931), S. 173–98.

    Article  MathSciNet  Google Scholar 

  2. The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions, M. Davis, Hrsg., Raven Press, 1965.

    Google Scholar 

  3. B. A. Trakhtenbrot, Algorithms and Automatic Computing Machines, D. C. Heath & Co., 1963.

    Google Scholar 

  4. R. Bird, Programs and Machines: An Introduction to the Theory of Computation, John Wiley & Sons, 1976.

    Google Scholar 

  5. G. S. Boolos, J. P. Burgess und R. C. Jeffrey, Computability and Logic, 4. Auflage, Cambridge University Press, 2002.

    Google Scholar 

  6. W. S. Brainerd und L. H. Landweber, Theory of Computation, John Wiley & Sons, 1974.

    Google Scholar 

  7. J. M. Brady, The Theory of Computer Science: A Programming Approach, Chapman & Hall, 1977.

    Google Scholar 

  8. N. J. Cutland, Computability: An Introduction to Recursive Function Theory, Cambridge University Press, 1980.

    Google Scholar 

  9. G. Rozenberg und A. Salomaa, Cornerstones of Undecidability, Prentice-Hall, 1994.

    Google Scholar 

  10. M. D. Davis, R. Sigal und E. J. Weyuker, Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science, 2. Auflage, Academic Press, 1994.

    Google Scholar 

  11. F. C. Hennie, Introduction to Computability, Addison-Wesley, 1977.

    Google Scholar 

  12. J. E. Hopcroft, R. Motwani und J. D. Ullman, Einführung in die Automatentheorie, Formale Sprachen und Komplexitätstheorie, 2. Auflage, Pearson Studium, 2002.

    Google Scholar 

  13. A. J. Kfoury, R. N. Moll und M. A. Arbib, A Programming Approach to Computability, Springer-Verlag, 1982.

    Google Scholar 

  14. E. V. Krishnamurthy, Introductory Theory of Computer Science, Springer-Verlag, 1983.

    Google Scholar 

  15. H. R. Lewis und C. H. Papadimitriou, Elements of the Theory of Computation, 2. Auflage, Prentice-Hall, 1997.

    Google Scholar 

  16. M. Machtey und P. Young, An Introduction to the General Theory of Algorithms, North Holland, 1978.

    Google Scholar 

  17. R. Sommerhalder und S. C. van Westrhenen, The Theory of Computability: Programs, Machines, Effectiveness and Feasibility, Addison-Wesley, 1988.

    Google Scholar 

  18. R. W. Floyd und R. Beigel, The Language of Machines: An Introduction to Computability and Formal Languages, W. H. Freeman & Co., 1994.

    Google Scholar 

  19. H. Rogers, Theory of Recursive Functions and Effective Computability, McGraw-Hill, 1967 (Reprint von MIT Press, 1987).

    Google Scholar 

  20. S. C. Kleene, Introduction to Metamathematics, North Holland, 1952 (8-ter Reprint, 1980).

    Google Scholar 

  21. M. Davis, Computability and Unsolvability, McGraw-Hill, 1958. (2. Auflage bei Dover Publications, 1982).

    Google Scholar 

  22. M. L. Minsky, Computation: Finite and Infinite Machines, Prentice-Hall, 1967.

    Google Scholar 

  23. D. R. Hofstadter, Gödel, Escher, Bach. Ein endloses geflochtenes Band, 17. Auflage, Klett-Cotta, 2006.

    Google Scholar 

  24. Journal of Symbolic Logic, abgekürzt als J. Symb. Logic oder mitunter einfach JSL; herausgegeben von der Association for Symbolic Logic.

    Google Scholar 

  25. Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, abgekürzt als Zeitschr. Math. Logik und Grundlagen Math, oder mitunter einfach ZMLjherausgegeben in Berlin vom VEB Deutscher Verlag der Wissenschaften.

    Google Scholar 

  26. H. Wang, „Proving Theorems by Pattern Recognition,“ Bell Syst. Tech. J. 40 (1961), S. 1–42.

    Google Scholar 

  27. R. Berger, „,The Undecidability of the Domino Problem,“ Memoirs Amer. Math. Soc. 66 (1966).

    Google Scholar 

  28. B. Grünbaum und G. C. Shephard, Tilings and Patterns, W. H. Freeman & Co., 1987.

    Google Scholar 

  29. H.-D. Ebbinghaus, „Undecidability of Some Domino Connectability Problems,“ Zeitschr. Math. Logik und Grundlagen Math. 28 (1982), S. 331–6.

    MATH  MathSciNet  Google Scholar 

  30. Y. Etzion-Petrushka, D. Harel und D. Myers, „On the Solvability of Domino Snake Problems,“ Theoret. Comput. Sci. 131 (1994), S. 243–69.

    Article  MathSciNet  Google Scholar 

  31. E. L. Post, „A Variant of a Recursively Unsolvable Problem,“ Bull. Amer. Math. Soc. 52 (1946), S. 264–8.

    Article  MATH  MathSciNet  Google Scholar 

  32. Y. Bar-Hillel, M. Perles und E. Shamir, „On Formal Properties of Simple Phrase Structure Grammars,“ Zeit. Phonetik, Sprachwiss. Kommunikationsforsch. 14 (1961), S. 143–72.

    MATH  MathSciNet  Google Scholar 

  33. J. C. Lagarias, „The 3x + 1 Problem and its Generalizations,“ Amer. Math. Monthly 92 (1985), S. 3–23.

    Article  MATH  MathSciNet  Google Scholar 

  34. A. Turing, „On Computable Numbers with an Application to the Entscheidungsproblem,“ Proc. London Math. Soc. 42 (1936), S. 230–65. Korrekturen erschienen in: ibid., 43 (1937), S. 544–6.

    MATH  Google Scholar 

  35. H. G. Rice, „Classes of Recursively Enumerable Sets and Their Decision Problems,“ Trans. Amer. Math. Soc. 74 (1953), S. 358–66.

    Article  MATH  MathSciNet  Google Scholar 

  36. S. C. Kleene, „Recursive Predicates and Quantifiers,“ Trans. Amer. Math. Soc. 53 (1943), s. 41–73.

    Article  MATH  MathSciNet  Google Scholar 

  37. D. Harel, A. Pnueli und J. Stavi, „Propositional Dynamic Logic of Non Regular Programs,“ J. Comput. Syst. Sci. 26 (1983), S. 222–43.

    Article  MATH  MathSciNet  Google Scholar 

  38. D. Harel, „Effective Transformations on Infinite Trees, with Applications to High Un-decidability, Dominoes, and Fairness,“ J. Assoc. Comput. Mach. 33 (1986), S. 224–48.

    MathSciNet  Google Scholar 

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(2006). Nichtberechenbarkeit und Unentscheidbarkeit. In: Algorithmik. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-37437-X_8

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