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Self-dual binary and ternary connectives form-valued propositional calculi

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References

  1. Rose, A.: Math. Ann.123, 76 (1951);126, 144 (1953).

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  2. Rose, A.: Comptes rendus (Paris)250, 4089 (1960).

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  3. Theorem 7, Lemma 1.

  4. Rosser, J. B., andA. R. Turquette: Many-valued Logics, Amsterdam (1952), p.23.

  5. Łukasiewicz, J., andA. Tarski: Comptes rendus (Warsaw)21, 30 (1930).

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  6. See footnote 4.

  7. Słupecki, J.: Comptes rendus (Warsaw)27, 9 (1936).

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  8. See, for example, the second paper referred to in footnote 1.

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  9. These are the functors ofPost, E. L.: Am. J. Math.43, 163 (1921).

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  10. Op. cit. These are the functors of

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  11. See, for example, the first paper referred to in footnote 1.

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  12. See footnote 8.

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  13. This is the second paper referred to in footnote 1.

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  14. Op. cit.

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  15. Cf. the discussion of ξ(x),supra.

  16. See footnote 8.

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  17. See the book referred to in footnote 4, p. 18.

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Rose, A. Self-dual binary and ternary connectives form-valued propositional calculi. Math. Ann. 143, 448–462 (1961). https://doi.org/10.1007/BF01470757

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