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  • 标题:Structural Interactions and Absorption of Structural Rules in BI Sequent Calculus
  • 本地全文:下载
  • 作者:Ryuta Arisaka
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2016
  • 卷号:52
  • 页码:8:1-8:18
  • DOI:10.4230/LIPIcs.FSCD.2016.8
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Development of a contraction-free BI sequent calculus, be the contraction-freeness implicit or explicit, has not been successful in the literature. We address this problem by presenting such a sequent system. Our calculus involves no structural rules. It should be an insight into non-formula contraction absorption in other non-classical logics. Contraction absorption in sequent calculus is associated to simpler cut elimination and to efficient proof searches.
  • 关键词:cut-elimination; contraction-free; sequent calculus; proof theory; BI; logic combination
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