Rule-Generation Theorem and its Applications
| dc.contributor.author | Indrzejczak, Andrzej | |
| dc.date.accessioned | 2019-05-24T07:15:58Z | |
| dc.date.available | 2019-05-24T07:15:58Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0138-0680 | |
| dc.identifier.uri | http://hdl.handle.net/11089/28482 | |
| dc.description.abstract | 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. | en_GB |
| dc.language.iso | en | en_GB |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | en_GB |
| dc.relation.ispartofseries | Bulletin of the Section of Logic; 4 | |
| dc.rights | This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. | en_GB |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | en_GB |
| dc.subject | sequent calculus | en_GB |
| dc.subject | cut elimination | en_GB |
| dc.subject | proof theory | en_GB |
| dc.subject | extralogical rules | en_GB |
| dc.title | Rule-Generation Theorem and its Applications | en_GB |
| dc.type | Article | en_GB |
| dc.page.number | 265-281 | |
| dc.contributor.authorAffiliation | University of Łódź, Department of Logic | |
| dc.identifier.eissn | 2449-836X | |
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| dc.contributor.authorEmail | andrzej.indrzejczak@filozof.uni.lodz.pl | |
| dc.identifier.doi | 10.18778/0138-0680.47.4.03 | |
| dc.relation.volume | 47 | en_GB |
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