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On disjunctions and existential statements in intuitionistic systems of logic

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References

  1. Curry, H. B.: On the use of dots as brackets in logical expressions. J. Symbolic Logic2, 26–28 (1937).

    Google Scholar 

  2. Gentzen, G.: Untersuchungen über das logische Schließen. Math. Z.39, 176–210, 405–431 (1934–1935).

    Google Scholar 

  3. Gödel, K.: Zum Intuitionistischen Aussagenkalkül. Erg. math. Kolloq.4, 40 (1933).

    Google Scholar 

  4. Harrop, R.: An investigation of the propositional calculus used in a particular system of logic. Proc. Cambridge Phil. Soc.50, 495–512 (1954).

    Google Scholar 

  5. Kemeny, J. G.: Models of logical systems. J. Symbolic Logic13, 16–30 (1948).

    Google Scholar 

  6. Kleene, S. C.: Introduction to Metamathematics: Amsterdam (1952).

  7. McKinsey, J. C. C., andA. Tarski: Some theorems about the sentential calculi of Lewis and Heyting: J. Symbolic Logic13, 1–15 (1948).

    Google Scholar 

  8. Rasiowa, H.: Algebraic models of axiomatic theories. Fund. Math.41, 291–310 (1955).

    Google Scholar 

  9. Rasiowa, H., andR. Sikorski: On existential theorems in non-classical functional calculi. Fund. Math.41, 21–28 (1954).

    Google Scholar 

  10. Rieger, L.: On the lattice theory of Brouwerian propositional logic. Spisy. vyd. prirod. fak. Univ. Karlovy189, 1–40 (1949).

    Google Scholar 

  11. Schütte, K.: Schlußweisen-Kalküle der Prädikatenlogik. Math. Ann.122, 47–65 (1950).

    Google Scholar 

  12. Wajsberg, M.: Untersuchungen Über den Aussagenkalkül von A. Heyting. Wiad. mat.46, 45–101 (1938).

    Google Scholar 

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  1. Newcastle upon Tyne, England

    R. Harrop

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  1. R. Harrop
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Harrop, R. On disjunctions and existential statements in intuitionistic systems of logic. Math. Ann. 132, 347–361 (1956). https://doi.org/10.1007/BF01360048

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