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On boolean functions and connected sets

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References

  1. A. Ádám,Truth Functions and the Problem of their Realization by Two-Terminal Graphs, Budapest 1968.

  2. G. Birkhoff andS. MacLane,A Survey of Modern Algebra, The Macmillan Co., New York, 1965.

    Google Scholar 

  3. A. Ehrenfeucht, Practical decidability, (to appear).

  4. N. J. Fine, Binomial coefficients modulo a prime,Amer. Math. Monthly 54 (1947), 589–592.

    Google Scholar 

  5. F. Galvin, Reduced products, Horn sentences, and decision problems,Bull. Amer. Math. Soc. 73 (1967), 59–64.

    Google Scholar 

  6. F. Galvin, Horn sentences,Annals of Math. Logic 1 (1970), 389–422.

    Google Scholar 

  7. L. Hodes andE. Specker, Lengths of formulas and elimination of quantifiers I,Contributions to Mathematical Logic, Proc. Logic Colloquium, Hanover, 1966, Amsterdam, 1968.

  8. S. C. Kleene,Introduction to Metamathematics, Van Nostrand, Princeton, N.J., 1952.

    Google Scholar 

  9. N. E. Kobrinskii andB. A. Trakhtenbrot,Introduction to the Theory of Finite Automata, North Holland, Amsterdam, 1965.

    Google Scholar 

  10. M. Minsky andS. Papert,Perceptrons, an Introduction Computational Geometry, MIT Press, Cambridge, Mass., 1969.

    Google Scholar 

  11. Jan Mycielski, Undefinability of connected sets,Notices Amer. Math. Soc. 17 (1970), 674.

    Google Scholar 

  12. M. Presburger, Über die Vollständigkeit eines gewissen Systems der Arithmetik,Comptes Rendus du I Congrès des Pays Slaves, Warsaw, 1929.

  13. Julia Robinson, Definability and decision problems in arithmetics,J. Symbolic Logic 14 (1949), 98–114.

    Google Scholar 

  14. W. Szmielew, Elementary properties of abelian groups,Fund. Math. 41 (1955), 203–271.

    Google Scholar 

  15. H. Wielandt,Finite Permutation Groups, Academic Press, New York, 1964.

    Google Scholar 

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McKenzie, R., Mycielski, J. & Thompson, D. On boolean functions and connected sets. Math. Systems Theory 5, 259–270 (1971). https://doi.org/10.1007/BF01694182

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