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  • 标题:Solution of a Problem of Barendregt on Sensible λ-Theories
  • 本地全文:下载
  • 作者:Benedetto Intrigila ; Richard Statman
  • 期刊名称:Logical Methods in Computer Science
  • 印刷版ISSN:1860-5974
  • 电子版ISSN:1860-5974
  • 出版年度:2006
  • 卷号:2
  • 期号:04
  • DOI:10.2168/LMCS-2(4:5)2006
  • 出版社:Technical University of Braunschweig
  • 摘要:

    H is the theory extending β-conversion by identifying all closed
    unsolvables. H ω is the closure of this theory under the ω-rule
    (and β-conversion). A long-standing conjecture of H. Barendregt states
    that the provable equations of H ω form
    Π11-complete set. Here we prove that conjecture

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