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Volumn 46, Issue 1, 2000, Pages 135-137

A note on the Gödel-Gentzen translation

Author keywords

Conservative extension results; G del Gentzen negative translation; Intuitionistic logic; Minimal logic; Natural deduction

Indexed keywords


EID: 0034344074     PISSN: 09425616     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-3870(200001)46:1<135::AID-MALQ135>3.0.CO;2-R     Document Type: Article
Times cited : (22)

References (11)
  • 2
    • 38249043569 scopus 로고
    • Epistemic and intuitionistic formal systems
    • FLAGG, R. C., and H. FRIEDMAN, Epistemic and intuitionistic formal systems. Ann. Pure Appl. Logic 32 (1986), 53-60.
    • (1986) Ann. Pure Appl. Logic , vol.32 , pp. 53-60
    • Flagg, R.C.1    Friedman, H.2
  • 3
    • 0002348405 scopus 로고
    • Über das Verhältnis zwischen intuitionistischer und klassischer Logik
    • GENTZEN, G., Über das Verhältnis zwischen intuitionistischer und klassischer Logik. Arch. Math. Logic 16 (1974), 119-132.
    • (1974) Arch. Math. Logic , vol.16 , pp. 119-132
    • Gentzen, G.1
  • 4
    • 0001794165 scopus 로고
    • Zur intuitionistischen Arithmetik und Zahlentheorie
    • GÖDEL, K., Zur intuitionistischen Arithmetik und Zahlentheorie. Ergebnisse eines mathematischen Kolloquiums 4 (1933), 34-38. Also, with translation, in K. GÖDEL, Collected Works, Volume II, Oxford University Press, Oxford 1990.
    • (1933) Ergebnisse Eines Mathematischen Kolloquiums , vol.4 , pp. 34-38
    • Gödel, K.1
  • 5
    • 0003913615 scopus 로고
    • Also, with translation, in Oxford University Press, Oxford
    • GÖDEL, K., Zur intuitionistischen Arithmetik und Zahlentheorie. Ergebnisse eines mathematischen Kolloquiums 4 (1933), 34-38. Also, with translation, in K. GÖDEL, Collected Works, Volume II, Oxford University Press, Oxford 1990.
    • (1990) Collected Works , vol.2
    • Gödel, K.1
  • 6
    • 0002322926 scopus 로고
    • On the principle of the excluded middle
    • in Russian
    • KOLMOGOROV, A. N., On the principle of the excluded middle. Mat. Sbornik 32 (1925), 646-667 (in Russian). English translation in: J. VAN HEIJENOORT (ed.) From Frege to Gödel: A source-book in mathematical logic, 1879-1931. Harvard University Press, Cambridge Mass. 1967, pp. 414-437.
    • (1925) Mat. Sbornik , vol.32 , pp. 646-667
    • Kolmogorov, A.N.1
  • 7
    • 0003691342 scopus 로고
    • English translation in: Harvard University Press, Cambridge Mass.
    • KOLMOGOROV, A. N., On the principle of the excluded middle. Mat. Sbornik 32 (1925), 646-667 (in Russian). English translation in: J. VAN HEIJENOORT (ed.) From Frege to Gödel: A source-book in mathematical logic, 1879-1931. Harvard University Press, Cambridge Mass. 1967, pp. 414-437.
    • (1967) From Frege to Gödel: A Source-book in Mathematical Logic, 1879-1931 , pp. 414-437
    • Van Heijenoort, J.1
  • 8
    • 84972537469 scopus 로고
    • Intuitionistische untersuchungen der formalistischen logik
    • KURODA, S., Intuitionistische Untersuchungen der formalistischen Logik. Nagoya Math. J. 2 (1951), 35-47.
    • (1951) Nagoya Math. J. , vol.2 , pp. 35-47
    • Kuroda, S.1
  • 9
    • 0000275420 scopus 로고
    • Syntactic translations and provably recursive functions
    • LEIVANT, D., Syntactic translations and provably recursive functions. J. Symbolic Logic 50 (1985), 682-688.
    • (1985) J. Symbolic Logic , vol.50 , pp. 682-688
    • Leivant, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.