NDLI: Equational axiomatization of call-by-name delimited control

Content Provider	ACM Digital Library
Author	Kameyama, Yukiyoshi Tanaka, Asami
Abstract	Control operators for delimited continuations are useful in various fields such as partial evaluation, CPS translation, and representation of monadic effects. While many works in the literature study them in call-by-value, several recent works have shown call-by-name delimited control operators are also worth studying. In this paper, we study semantic foundation of the call-by-name variant of the delimited-control operators "shift" and "reset". In particular, we give a set of direct-style equations as axioms for them, and prove that it is sound and complete with respect to the CPS translation by Biernacka and Biernacki. The key observations in our proof are (1) we need to carefully treat linearity of certain variables in the CPS terms, and (2) we must distinguish continuation variables from ordinary variables. We also mention that our axioms can be used for typed calculus.
Starting Page	77
Ending Page	86
Page Count	10
File Format	PDF
ISBN	9781450301329
DOI	10.1145/1836089.1836100
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2010-07-26
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Call-by-name Control operators Axiomatization Cps translation Delimited continuation
Content Type	Text
Resource Type	Article

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Equational axiomatization of call-by-name delimited control