An Operational Foundation for Delimited Continuations in the CPS Hierarchy

Forfattere

  • Malgorzata Biernacka
  • Dariusz Biernacki
  • Olivier Danvy

DOI:

https://doi.org/10.7146/brics.v12i24.21890

Resumé

We present an abstract machine and a reduction semantics for the lambda-calculus extended with control operators that give access to delimited continuations in the CPS hierarchy. The abstract machine is derived from an evaluator in continuation-passing style (CPS); the reduction semantics (i.e., a small-step operational semantics with an explicit representation of evaluation contexts) is constructed from the abstract machine; and the control operators are the shift and reset family. At level n of the CPS hierarchy, programs can use the control operators shift_i and reset_i for 1 <= i <= n, the evaluator has n + 1 layers of continuations, the abstract machine has n + 1 layers of control stacks, and the reduction semantics has n + 1 layers of evaluation contexts.

We also present new applications of delimited continuations in the CPS hierarchy: finding list prefixes and normalization by evaluation for a hierarchical language of units and products.

Downloads

Publiceret

2005-08-11

Citation/Eksport

Biernacka, M., Biernacki, D., & Danvy, O. (2005). An Operational Foundation for Delimited Continuations in the CPS Hierarchy. BRICS Report Series, 12(24). https://doi.org/10.7146/brics.v12i24.21890

Nummer

Nr. 24 (2005): RS-24 An Operational Foundation for Delimited Continuations in the CPS Hierarchy

Sektion

Artikler

Licens

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

    1. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

  1. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).