Geodesic
Rule-Generation Theorem and its Applications
Bulletin of the Section of Logic, Tome 47 (2018) no. 4
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In several applications of sequent calculi going beyond pure logic, an introduction of suitably defined rules seems to be more profitable than addition of extra axiomatic sequents. A program of formalization of mathematical theories via rules of special sort was developed successfully by Negri and von Plato. In this paper a general theorem on possible ways of transforming axiomatic sequents into rules in sequent calculi is proved. We discuss its possible applications and provide some case studies for illustration.
Keywords: sequent calculus, cut elimination, proof theory, extralogical rules 
@article{BSL_2018_47_4_a3,
     author = {Indrzejczak, Andrzej},
     title = {Rule-Generation {Theorem} and its {Applications}},
     journal = {Bulletin of the Section of Logic},
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     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2018_47_4_a3/}
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Indrzejczak, Andrzej. Rule-Generation Theorem and its Applications. Bulletin of the Section of Logic, Tome 47 (2018) no. 4. http://geodesic.mathdoc.fr/item/BSL_2018_47_4_a3/