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Program Extraction from Proofs of Weak Head Normalization

BRICS Report Series

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Field Value
 
Title Program Extraction from Proofs of Weak Head Normalization
 
Creator Biernacka, Malgorzata
Danvy, Olivier
Støvring, Kristian
 
Description We formalize two proofs of weak head normalization for the simply typed lambda-calculus in first-order minimal logic: one for normal-order reduction, and one for applicative-order reduction in the object language. Subsequently we use Kreisel's modified realizability to extract evaluation algorithms from the proofs, following Berger; the proofs are based on Tait-style reducibility predicates, and hence the extracted algorithms are instances of (weak head) normalization by evaluation, as already identified by Coquand and Dybjer.
 
Publisher Aarhus University
 
Contributor
 
Date 2005-04-11
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/21878
10.7146/brics.v12i12.21878
 
Source BRICS Report Series; No 12 (2005): RS-12 Program Extraction from Proofs of Weak Head Normalization
BRICS Report Series; No 12 (2005): RS-12 Program Extraction from Proofs of Weak Head Normalization
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/21878/19305
 
Rights Copyright (c) 2015 BRICS Report Series