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  1. Stephen Cole Kleene, Jon Barwise, H. Jerome Keisler & Kenneth Kunen (eds.) (1980). The Kleene Symposium: Proceedings of the Symposium Held June 18-24, 1978 at Madison, Wisconsin, U.S.A. Sole Distributors for the U.S.A. And Canada, Elsevier North-Holland.
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  2. Stephen Cole Kleene (1967/2002). Mathematical Logic. Dover Publications.
    Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities on the subject. Part I offers an elementary but thorough overview of mathematical logic of first order. The treatment does not stop with a single method of formulating logic; students receive instruction in a variety of techniques, first learning model theory (truth tables), then Hilbert-type proof theory, and proof theory handled through derived rules. Part II supplements (...)
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  3. Stephen Cole Kleene (1965). The Foundations of Intuitionistic Mathematics. Amsterdam, North-Holland Pub. Co..
     
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  4. Stephen Cole Kleene (1952). Introduction to Metamathematics. North Holland.