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Environmental Bisimulations for Delimited-Control Operators with Dynamic Prompt Generation

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.
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Contributor : Sergueï Lenglet Connect in order to contact the contributor
Submitted on : Wednesday, August 30, 2017 - 10:38:10 AM
Last modification on : Wednesday, November 3, 2021 - 7:57:39 AM


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  • HAL Id : hal-01305137, version 4


Andrés Aristizábal, Dariusz Biernacki, Sergueï Lenglet, Piotr Polesiuk. Environmental Bisimulations for Delimited-Control Operators with Dynamic Prompt Generation. [Research Report] RR-8905, Inria. 2016. ⟨hal-01305137v4⟩



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