License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSCD.2016.9
URN: urn:nbn:de:0030-drops-59756
URL: https://drops.dagstuhl.de/opus/volltexte/2016/5975/
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Aristizábal, Andrés ; Biernacki, Dariusz ; Lenglet, Sergueï ; Polesiuk, Piotr

Environmental Bisimulations for Delimited-Control Operators with Dynamic Prompt Generation

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LIPIcs-FSCD-2016-9.pdf (0.6 MB)

Abstract

We present sound and complete environmental bisimilarities for a
variant of Dybvig et al.'s calculus of multi-prompted
delimited-control operators with dynamic prompt generation. The
reasoning principles that we obtain generalize and advance the
existing techniques for establishing program equivalence in calculi
with single-prompted delimited control.

The basic theory that we develop is presented using Madiot et al.'s
framework that allows for smooth integration and composition of up-to
techniques facilitating bisimulation proofs. We also generalize the
framework in order to express environmental bisimulations that support
equivalence proofs of evaluation contexts representing
continuations. This change leads to a novel and powerful up-to
technique enhancing bisimulation proofs in the presence of control
operators.

BibTeX - Entry

@InProceedings{aristizbal_et_al:LIPIcs:2016:5975,
  author =	{Andr{\'e}s Aristiz{\'a}bal and Dariusz Biernacki and Serguei Lenglet and Piotr Polesiuk},
  title =	{{Environmental Bisimulations for Delimited-Control Operators with Dynamic Prompt Generation}},
  booktitle =	{1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
  pages =	{9:1--9:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-010-1},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{52},
  editor =	{Delia Kesner and Brigitte Pientka},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/5975},
  URN =		{urn:nbn:de:0030-drops-59756},
  doi =		{10.4230/LIPIcs.FSCD.2016.9},
  annote =	{Keywords: delimited continuation, dynamic prompt generation, contextual equivalence, environmental bisimulation, up-to technique}
}

Keywords: delimited continuation, dynamic prompt generation, contextual equivalence, environmental bisimulation, up-to technique
Collection: 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)
Issue Date: 2016
Date of publication: 17.06.2016

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