Gentzen’s Original Consistency Proof and the Bar Theorem
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Publisher
Springer International Publishing
Link
http://link.springer.com/content/pdf/10.1007/978-3-319-10103-3_8
Reference21 articles.
1. P. Bernays, On the original Gentzen consistency proof for number theory, Intuitionism and Proof Theory, ed. by A. Kino, J. Myhill, R. Vesley (North-Holland, Amsterdam, 1970), pp. 409–418
2. W. Buchholz, Explaining Gentzen’s consistency proof within infinitary proof theory, in Computational Logic and Proof Theory. Fifth Kurt Gödel Colloquium, KGC ’97, ed. by G. Gottlob, A. Leitsch, D. Mundici. Lecture Notes in Computer Science, vol. 1298 Springer, Berlin (1997)
3. T. Coquand, A semantics of evidence for classical arithmetic. J. Symb. Log. 60, 325–337 (1995)
4. G. Gentzen, Untersuchungen über das logische Schliessen I, II. Math. Z. 39, 176–210, 405–431 (1935). English translation in [8, pp. 68–131]
5. G. Gentzen, Die Widerspruchfreiheit der reinen Zahlentheorie. Math. Ann. 112, 493–565 (1936) English translation in [8, pp. 132–213]
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