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Derivability of admissible rules. (English) Zbl 0375.02014
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 32, 85–89 (1973; Zbl 0358.02031).

MSC:
03F99 Proof theory and constructive mathematics
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[1] N. D. Belnap, H. Leblanc, and R. H. Thomason, ?On not strengthening intuitionistic logic,? Notre Dame J. Formal Logic,4, No. 4, 313?320 (1963). · Zbl 0131.00605 · doi:10.1305/ndjfl/1093957658
[2] G. Kreisel and H. Putnam, ?Eine Unableitbarkeitsbeweismethode fur den intuitionistischen Aussa-gankalkül,? Arch. Math. Logik Grundlagenforsch.,3, Nos. 3?4, 74?78 (1957). · Zbl 0079.00702 · doi:10.1007/BF01988049
[3] W. A. Pogorzelski, ?Structural completeness of the propositional calculus,? Bull. Acad. Polon. Sci. Ser. Sci. Math.,19, No. 5, 349?351 (1971). · Zbl 0214.00704
[4] G. Gentzen, ?Untersuchungen über das logische Schliessen,? Math. Z.,39, 176?210; 405?443 (1934). · Zbl 0010.14601
[5] G. E. Mints, ?On the semantics of modal logic,? in: Seminars in Mathematics, Vol. 16, Consultants Bureau, New York-London (1971), pp. 74?76.
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