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BakBdL11 (In proceedings)
Author(s) Steffen van Bakel, Franco Barbanera and Ugo de' Liguoro
Title« A Filter Model for λμ »
InProc. of TLCA'11
SeriesARCoSS/LNCS
Editor(s) Luke Ong
Number6690
Page(s)213-228
Year2011
URLhttp://www.di.unito.it/~deligu/papers/BBL_FLM.pdf
Abstract
We introduce an intersection type assignment system for the pure λμ-calculus, which is invariant under subject reduction and expansion. The system is obtained by describing Streicher and Reus's denotational model of continuations in the category of ω-algebraic lattices via Abramsky's domain logic approach. This provides a tool for showing the completeness of the type assignment system with respect to the continuation models via a filter model construction. We also show that typed λμ-terms have a non-trivial intersection typing in our system.

BibTeX code

@inproceedings{BakBdL11,
  number = {6690},
  author = {Steffen van Bakel and Franco Barbanera and Ugo de' Liguoro},
  series = {{ARCoSS/LNCS}},
  booktitle = {{Proc. of TLCA'11}},
  editor = {Luke Ong},
  url = {http://www.di.unito.it/~deligu/papers/BBL_FLM.pdf},
  abstract = {We introduce an intersection type assignment system for the pure
              $\lambda\mu$-calculus, which is invariant under subject reduction
              and expansion. The system is obtained by describing Streicher and
              Reus's denotational model of continuations in the category of
              $\omega$-algebraic lattices via Abramsky's domain logic approach.
              This provides a tool for showing the completeness of the type
              assignment system with respect to the continuation models via a
              filter model construction. We also show that typed
              $\lambda\mu$-terms have a non-trivial intersection typing in our
              system.},
  title = {{A Filter Model for $\lambda\mu$}},
  tag = {{TLCA'12}},
  year = {2011},
  institution = {London Imperial College, Universit\'a di Catania, Universit\'a
                 di Torino},
  pages = {213-228},
}


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