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  • 标题:Preservation of Strong Normalisation modulo permutations for the structural lambda-calculus
  • 本地全文:下载
  • 作者:Beniamino Accattoli ; Delia Kesner
  • 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:2012
  • 卷号:8
  • 期号:1
  • 页码:1
  • DOI:10.2168/LMCS-8(1:28)2012
  • 出版社:Technical University of Braunschweig
  • 摘要:Inspired by a recent graphical formalism for lambda-calculus based on linear logic technology, we introduce an untyped structural lambda-calculus, called lambda j, which combines actions at a distance with exponential rules decomposing the substitution by means of weakening, contraction and derelicition. First, we prove some fundamental properties of lambda j such as confluence and preservation of beta-strong normalisation. Second, we add a strong bisimulation to lambda j by means of an equational theory which captures in particular Regnier's sigma-equivalence. We then complete this bisimulation with two more equations for (de)composition of substitutions and we prove that the resulting calculus still preserves beta-strong normalization. Finally, we discuss some consequences of our results.
  • 其他关键词:Lambda-calculus, explicit substitutions, preservation of strong normalisation.
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