Bulletin of Symbolic Logic

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Book Review

Wilfried Buchholz. Notation systems for infinitary derivations. Archive for mathematical logic, vol. 30 no. 5–6 (1991), pp. 277–296.

Wilfried Buchholz. Explaining Gentzen's consistency proof within infinitary proof theory. Computational logic and proof theory, 5th Kurt Gödel colloquium, KGC '97, Vienna, Austria, August 25–29, 1997, Proceedings, edited by Georg Gottlob, Alexander Leitsch, and Daniele Mundici, Lecture notes in computer science, vol. 1289, Springer, Berlin, Heidelberg, New York, etc., 1997, pp. 4–17.

Sergei Tupailo. Finitary reductions for local predicativity, I: recursively regular ordinals. Logic Colloquium '98, Proceedings of the annual European summer meeting of the Association for Symbolic Logic, held in Prague, Czech Republic, August 9–15, 1998, edited by Samuel R. Buss, Petr Háajek, and Pavel Pudlák, Lecture notes in logic, no. 13, Association for Symbolic Logic, Urbana, and A K Peters, Natick, Mass., etc., 2000, pp. 465–499.

Toshiyasu Arai

Graduate School of Science and Technology, Kobe University, Rokko-dai, Nada-ku, Kobe, 657 8501, Japan. arai@kurt.cla.kobe-u.ac.jp.