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paolini04iandc (Article)
Author(s) Luca Paolini and Simona Ronchi Della Rocca
Title« Parametric parameter passing lambda-calculus »
JournalInformation and Computation
Volume189
Number1
Page(s)87-106
Year2004
ISSN number0890-5401
URLhttp://www.di.unito.it/~ronchi/papers/cr.ps
NoteElsevier, Netherlands
Abstract
A λ-calculus is defined, which is parametric with respect to a set Δ of input values and subsumes all the different λ-calculi given in the literature, in particular the classical one and the call-by-value λ-calculus of Plotkin. It is proved that it enjoy the confluence property, and a necessary and sufficient condition is given, under which it enjoys the standardization property. Its operational semantics is given through a reduction machine, parametric with respect to both Δ and a set Θ of output values.

Download the complete article: ppp04.pdf

BibTeX code

@article{paolini04iandc,
  volume = {189},
  number = {1},
  month = feb,
  issn = {0890-5401},
  author = {Paolini, Luca and Ronchi Della Rocca, Simona},
  note = {Elsevier, Netherlands},
  url = {http://www.di.unito.it/~ronchi/papers/cr.ps},
  abstract = {A $\lambda$-calculus is defined, which is parametric with respect
              to a set $\Delta$ of input values and subsumes all the different
              $\lambda$-calculi given in the literature, in particular the
              classical one and the call-by-value $\lambda$-calculus of Plotkin.
              It is proved that it enjoy the confluence property, and a
              necessary and sufficient condition is given, under which it enjoys
              the standardization property. Its operational semantics is given
              through a reduction machine, parametric with respect to both
              $\Delta$ and a set $\Theta$ of output values. },
  title = {Parametric parameter passing lambda-calculus},
  tag = {Information and Computation},
  localfile = {http://www.di.unito.it/~paolini/papers/ppp04.pdf},
  pages = {87-106},
  year = 2004,
  journal = {Information and Computation},
}


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