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On the idea of a general proof theory

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Bibliography

  1. Getzen, G., ‘Untersuchungen über das logische Schliessen’,Mathematische Zeitschrift 39 (1935) 176–210, 405–431.

    Google Scholar 

  2. Girard, J. Y., ‘Une extension du système de fonctionelles recursives de Gödel et son application aux fondements de l'analyse’, inProceedings of the Second Scandinavian Logic Symposium (ed. by J. E. Fenstad), North-Holland, Amsterdam, 1971, pp. 63–92.

    Google Scholar 

  3. Hilbert, David, ‘Mathematische Probleme’ (Vortrag, gehalten auf dem internationalen Mathematikerkongress zu Paris 1900) inNachrichten von der K. Gesellschaft der Wissenschaften zu Göttingen, Math.-Phys. Kl. (1900), pp. 253–297.

  4. Hilbert, David, ‘Über die Grundlagen der Logik und der Arithmetik’, inVerhandlungen des dritten internationalen Mathematikerkongress in Heidelberg 1904, Leipzig 1905, pp. 174–185.

  5. Hilbert, David, ‘Über das Unendliche’,Mathematische Annalen 95 (1926) 161–190.

    Google Scholar 

  6. Kreisel, Georg, ‘Foundations of Intuitionistic Logic’, inLogic, Methodology, and Philosophy of Science (ed. by E. Nagel, P. Suppes, and A. Tarski), Stanford University Press, Stanford, California, 1962, pp. 192–210.

    Google Scholar 

  7. Martin-Löf, Per, ‘An Intuitionistic Theory of Types’ (mimeographed), Department of Mathematics, University of Stockholm 1973.

  8. Prawitz, Dag,Natural Deduction: A Proof-Theoretical Study, Almquist & Wiksell, Stockholm 1965.

    Google Scholar 

  9. Prawitz, Dag, ‘Ideas and Results in Proof Theory’, inProceedings of the Second Scandinavian Logic Symposium (ed. by J. E. Fenstad), North-Holland, Amsterdam 1971, pp. 235–307.

    Google Scholar 

  10. Prawitz, Dag, ‘Towards a Foundation of a General Proof Theory’, inLogic, Methodology, and Philosophy of Science IV, Proceedings of the 1971 International Congress (ed. by P. Suppes, L. Henkin, A. Joja, and Gr.C. Moisil), North-Holland, Amsterdam, 1973, pp. 225–250.

    Google Scholar 

  11. Tarski, A., ‘Über den Begriff der logischen Folgerungen’, inActes du Congrès International de Philosophie Scientifique VII, Paris 1936, pp. 1–11.

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Prawitz, D. On the idea of a general proof theory. Synthese 27, 63–77 (1974). https://doi.org/10.1007/BF00660889

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