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Home : Math : Higher Mathematics : Discrete Mathematics : Rosen, Discrete Mathematics and Its Applications, 6th Edition : Chapter 12 : Page 2
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  • Page 826 - Section 12.4
    MacTutor History of Mathematics Archive, University St. Andrews, Scotland -- A biography and photograph of Alan Turing can be found here.
    http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Turing.html
    (Added: Fri Jul 28 2006)
  • Page 827 - Section 12.4 Exercise #22
    Pumping lemma -- To learn more about the pumping lemma, consult the Wikipedia page here.
    http://en.wikipedia.org/wiki/Pumping_lemma
    (Added: Fri Jul 28 2006)
  • Page 827 - Section 12.4 Exercise #22
    The Pumping Lemma -- To find more about the pumping lemma, including a description in poetic form, go here.
    http://users.comlab.ox.ac.uk/luke.ong/teaching/moc/pump2up.pdf
    (Added: Fri Jul 28 2006)
  • Page 827 - Section 12.5
    Turing Machines -- Consult this article in the Stanford Encyclopedia of Philosophy to learn more about Turing machines.
    http://plato.stanford.edu/entries/turing-machine/
    (Added: Fri Jul 28 2006)
  • Page 833 - Section 12.5
    The Church-Turing Thesis -- Information about the Church-Turing can be found here.
    http://plato.stanford.edu/entries/church-turing/
    (Added: Fri Jul 28 2006)
  • Page 835 - Section 12.5
    Computability and Complexity -- To learn more about the concepts of computability, unsolvability, and complexity, consult this article in the Stanford Encyclopedia of Philosophy here.
    http://plato.stanford.edu/entries/computability/
    (Added: Fri Jul 28 2006)
  • Page 836 - Section 12.5
    MacTutor History of Mathematics Archive, University St. Andrews, Scotland -- A biography and photograph of Alonzo Church can be found here.
    http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Church.html
    (Added: Fri Jul 28 2006)
  • Page 838 - Section 12.5 Exercises
    Busy Beaver Turing Machine -- Information about busy beaver Turing machines can be found at Michael Somos's page here.
    http://grail.cba.csuohio.edu/~somos/bb.html
    (Added: Fri Jul 28 2006)
  • Page 838 - Section 12.5 Exercises
    Heiner Marxen - Busy Beaver -- An excellent site that presents the currently best known results about busy beaver Turing machines is found at Heiner Marxen's page.
    http://www.drb.insel.de/~heiner/BB/
    (Added: Fri Jul 28 2006)
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