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Environmental Bisimulations for Delimited-Control Operators with Dynamic Prompt Generation

Authors Andrés Aristizábal, Dariusz Biernacki, Sergueï Lenglet, Piotr Polesiuk

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Andrés Aristizábal
Dariusz Biernacki
Sergueï Lenglet
Piotr Polesiuk

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Andrés Aristizábal, Dariusz Biernacki, Sergueï Lenglet, and Piotr Polesiuk. Environmental Bisimulations for Delimited-Control Operators with Dynamic Prompt Generation. In 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 52, pp. 9:1-9:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016) https://doi.org/10.4230/LIPIcs.FSCD.2016.9

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.

Subject Classification

Keywords
  • delimited continuation
  • dynamic prompt generation
  • contextual equivalence
  • environmental bisimulation
  • up-to technique

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References

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