Record Details

A Concrete Framework for Environment Machines

BRICS Report Series

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Title A Concrete Framework for Environment Machines
 
Creator Biernacka, Malgorzata
Danvy, Olivier
 
Description We materialize the common belief that calculi with explicit substitutions provide an intermediate step between an abstract specification of substitution in the lambda-calculus and its concrete implementations. To this end, we go back to Curien's original calculus of closures (an early calculus with explicit substitutions), we extend it minimally so that it can express one-step reduction strategies, and we methodically derive a series of environment machines from the specification of two one-step reduction strategies for the lambda-calculus: normal order and applicative order. The derivation extends Danvy and Nielsen's refocusing-based construction of abstract machines with two new steps: one for coalescing two successive transitions into one, and one for unfolding a closure into a term and an environment in the resulting abstract machine. The resulting environment machines include both the idealized and the original versions of Krivine's machine, Felleisen et al.'s CEK machine, and Leroy's Zinc abstract machine.
 
Publisher Aarhus University
 
Contributor
 
Date 2005-05-11
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/21881
10.7146/brics.v12i15.21881
 
Source BRICS Report Series; No 15 (2005): RS-15 A Concrete Framework for Environment Machines
BRICS Report Series; No 15 (2005): RS-15 A Concrete Framework for Environment Machines
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/21881/19308
 
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