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First degree entailments

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Bibliography

  • Anderson, Alan Ross: Completeness theorems for the systemsE of entailment andEQ of entailment with quantification. Technical Report No. 6, Office of Naval Research, Group Psychology Branch, Contract SAR/Nonr-609 (16), New Haven. Also in the Z. mathem. Logik u. Grundlagen Mathematik6, 201–216 (1959).

    Google Scholar 

  • ——, andNuel D. Belnap jr.: A simple proof of Gödel's completeness theorem [abstract]. J. symbolic Logic24, 320 (1960a).

    Google Scholar 

  • —— —— Tautological entailments. Philosophical studies,13, 9–24 (1962).

    Google Scholar 

  • —— —— A simple treatment of truth functions. J. symbolic Logic,24, 301–302 (1959).

    Google Scholar 

  • — — The pure calculus of entailment. J. symbolic Logic, forthcoming (1960b).

  • Belnap, Nuel D., jr.:EQ and the first order functional calculus, appendix to Anderson 1959. (Also in the Z. mathem. Logik u. Grundlagen Mathematik6, 217–218 (1959a).)

    Google Scholar 

  • —— Entailment and relevance. J. symbolic Logic,25 144–146 (1960a).

    Google Scholar 

  • —— Tautological entailments [abstract]. J. symbolic Logic24, 316 (1959b).

    Google Scholar 

  • — A formal analysis of entailment. Technical Report No. 7, Office of Naval Research, Group Psychology Branch, Contract SAR/Nonr-609 (16), New Haven (1960).

  • Church, Alonzo: Introduction to mathematical logic, vol. I, Princeton: Princeton University Press, 1956.

    Google Scholar 

  • Gentzen, Gerhard: Untersuchungen über das logische Schließen. Math. Z.39, 176–210, 403–431 (1934).

    Google Scholar 

  • Kanger, Stig: Provability in logic. Stockholm: Almqvist & Wiksell, 1957.

    Google Scholar 

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

    Google Scholar 

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Anderson, A.R., Belnap, N.D. First degree entailments. Math. Ann. 149, 302–319 (1963). https://doi.org/10.1007/BF01471125

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