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G. Gentzen. The Collected Papers of Gerhard Gentzen. North-Holland Publ. Co., Amsterdam, 1969. English translation of Gentzen's papers, edited and introduced by M. E. Szabo.

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Simplifying Transformations for Type-alpha Certificates - Arkoudas (2001)   (Correct)

....although the transformations we present here are defined for NDL,weshowhowthey can be applied to any type # DPL that satisfies some simple conditions. Our subject is related to proof tree normalization in the sense of Prawitz [4] or alternatively, cut elimination in sequent based systems [3, 2]) In the intuitionist case, the Curry Howard correspondence means that Prawitz normalization coincides with reduction in the simply typed # calculus. Accordingly, the normalization algorithm in that case is particularly simple: keep contracting as long as there is a redex (either a # redex or ....

G. Gentzen. The collected papers of Gerhard Gentzen.North-Holland, Amsterdam, Holland, 1969. English translations of Gentzen's papers, edited and introduced by M. E. Szabo.


Constructivism and Proof Theory - Troelstra (2003)   (Correct)

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G. Gentzen. The Collected Papers of Gerhard Gentzen. North-Holland Publ. Co., Amsterdam, 1969. English translation of Gentzen's papers, edited and introduced by M. E. Szabo.


Marginalia on Sequent Calculi - Troelstra (1998)   (6 citations)  (Correct)

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G. Gentzen. The Collected Papers of Gerhard Gentzen. North-Holland Publ. Co., Amsterdam, 1969. English translation of Gentzen's papers, edited and introduced by M. E. Szabo.

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