Malgorzata Biernacka ; Dariusz Biernacki ; Olivier Danvy
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An Operational Foundation for Delimited Continuations in the CPS
Hierarchy
lmcs:2269 -
Logical Methods in Computer Science,
November 8, 2005,
Volume 1, Issue 2
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https://doi.org/10.2168/LMCS-1(2:5)2005An Operational Foundation for Delimited Continuations in the CPS
HierarchyArticleAuthors: Malgorzata Biernacka

; Dariusz Biernacki

; Olivier Danvy
0000-0001-8094-0980##0000-0002-1477-4635##NULL
Malgorzata Biernacka;Dariusz Biernacki;Olivier Danvy
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. 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.
Comment: 39 pages
Volume: Volume 1, Issue 2
Published on: November 8, 2005
Imported on: April 1, 2005
Keywords: Computer Science - Logic in Computer Science, Computer Science - Programming Languages, D.1.1, F.3.2